
Time bar (total: 25.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 0 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 1 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.4% | 74.6% | 0% | 0% | 0% | 3 |
| 0% | 0% | 22.2% | 74.6% | 0% | 3.2% | 0% | 4 |
| 0% | 0% | 20.6% | 74.6% | 0% | 4.8% | 0% | 5 |
| 0% | 0% | 18.3% | 74.6% | 0% | 7.1% | 0% | 6 |
| 0% | 0% | 10.7% | 74.6% | 0% | 14.7% | 0% | 7 |
| 0% | 0% | 9.3% | 74.6% | 0% | 16.1% | 0% | 8 |
| 0% | 0% | 8.2% | 74.6% | 0% | 17.2% | 0% | 9 |
| 0% | 0% | 5.7% | 74.6% | 0% | 19.7% | 0% | 10 |
| 0% | 0% | 5% | 74.6% | 0% | 20.4% | 0% | 11 |
| 0% | 0% | 4.4% | 74.6% | 0% | 21% | 0% | 12 |
Compiled 52 to 27 computations (48.1% saved)
| 13.4s | 61 949× | 0 | invalid |
| 2.1s | 8 256× | 0 | valid |
ival-mult: 4.2s (34.3% of total)ival-expm1: 1.9s (15.6% of total)const: 1.6s (13.4% of total)ival-fabs: 1.1s (8.7% of total)ival-<=: 941.0ms (7.6% of total)ival-add: 887.0ms (7.2% of total)ival-div: 817.0ms (6.6% of total)ival-fmin: 520.0ms (4.2% of total)ival-and: 217.0ms (1.8% of total)exact: 55.0ms (0.4% of total)ival-assert: 28.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 235 | 0 | - | 1 | (1.4121022012673238e-79 1.4548296521587286e-69 4.868026112982793e-82) | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 143 | 1 | (-4.929872389527447e-111 -3.6643669616147094e-191 1.2170875890376817e-213) | 0 | - | (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
| 114 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
| 103 | 1 | (-4.929872389527447e-111 -3.6643669616147094e-191 1.2170875890376817e-213) | 0 | - | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 a b) |
| 0 | 0 | - | 0 | - | (*.f64 b eps) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 a eps)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a eps) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 (+.f64 a b) eps)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 a b) eps) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 b eps)) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | u/u | 207 | 0 |
| ↳ | (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) | underflow | 207 | |
| ↳ | (*.f64 (+.f64 a b) eps) | underflow | 112 | |
| ↳ | (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) | underflow | 112 | |
| ↳ | (*.f64 b eps) | underflow | 142 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 152 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 142 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 234 | |
| ↳ | (*.f64 a eps) | underflow | 152 | |
-.f64 | (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) | cancellation | 144 | 0 |
-.f64 | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | cancellation | 114 | 0 |
-.f64 | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | cancellation | 104 | 0 |
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | n/u | 27 | 0 |
| ↳ | (*.f64 b eps) | underflow | 142 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 152 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 142 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 234 | |
| ↳ | (*.f64 a eps) | underflow | 152 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 112 |
| 3 | 92 |
| 4 | 52 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 80.0ms | 512× | 0 | valid |
Compiled 325 to 72 computations (77.8% saved)
ival-mult: 27.0ms (48.1% of total)ival-exp: 14.0ms (24.9% of total)ival-expm1: 8.0ms (14.2% of total)ival-div: 3.0ms (5.3% of total)ival-add: 3.0ms (5.3% of total)ival-true: 1.0ms (1.8% 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 | 82 | 233 |
| 1 | 250 | 229 |
| 2 | 708 | 227 |
| 3 | 2151 | 224 |
| 4 | 7041 | 224 |
| 0 | 17 | 24 |
| 0 | 30 | 24 |
| 1 | 56 | 24 |
| 2 | 109 | 24 |
| 3 | 176 | 24 |
| 4 | 327 | 24 |
| 5 | 655 | 24 |
| 6 | 1264 | 24 |
| 7 | 3455 | 24 |
| 8 | 6175 | 24 |
| 9 | 7511 | 24 |
| 10 | 7817 | 24 |
| 11 | 7898 | 24 |
| 12 | 7928 | 24 |
| 0 | 8057 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(sort a b)
Compiled 24 to 17 computations (29.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.0% | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
Compiled 24 to 17 computations (29.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) | |
| cost-diff | 6336 | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | |
| cost-diff | 6336 | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | |
| cost-diff | 6336 | (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 99 |
| 0 | 30 | 99 |
| 1 | 56 | 99 |
| 2 | 109 | 99 |
| 3 | 176 | 99 |
| 4 | 327 | 99 |
| 5 | 655 | 99 |
| 6 | 1264 | 99 |
| 7 | 3455 | 99 |
| 8 | 6175 | 99 |
| 9 | 7511 | 99 |
| 10 | 7817 | 99 |
| 11 | 7898 | 99 |
| 12 | 7928 | 99 |
| 0 | 8057 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
eps |
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (+.f64 a b) eps)) |
(*.f64 (+.f64 a b) eps) |
(+.f64 a b) |
a |
b |
#s(literal 1 binary64) |
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a eps)) |
(*.f64 a eps) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 b eps)) |
(*.f64 b eps) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
eps |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(pow.f64 (exp.f64 eps) (+.f64 b a)) |
(*.f64 (+.f64 b a) eps) |
(+.f64 b a) |
a |
b |
#s(literal 1 binary64) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(expm1.f64 (*.f64 a eps)) |
(pow.f64 (exp.f64 eps) a) |
(*.f64 a eps) |
(expm1.f64 (*.f64 b eps)) |
(pow.f64 (exp.f64 eps) b) |
(*.f64 b eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 24.044336105865096 | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | |
| accuracy | 24.99487283722913 | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | |
| accuracy | 31.97143732839542 | (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) | |
| accuracy | 56.70281980244127 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 35.0ms | 256× | 0 | valid |
Compiled 200 to 36 computations (82% saved)
ival-mult: 9.0ms (37.9% of total)ival-exp: 5.0ms (21% of total)ival-expm1: 4.0ms (16.8% of total)ival-div: 3.0ms (12.6% of total)ival-add: 2.0ms (8.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | -inf | ((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))) |
| 4.0ms | eps | @ | 0 | ((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))) |
| 3.0ms | eps | @ | inf | ((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))) |
| 3.0ms | eps | @ | -inf | ((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))) |
| 2.0ms | b | @ | 0 | ((- (exp (* (+ a b) eps)) 1) (- (exp (* a eps)) 1) (- (exp (* b eps)) 1) (* eps (- (exp (* (+ a b) eps)) 1)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 3148 |
| 1 | 1205 | 3100 |
| 2 | 3793 | 3100 |
| 0 | 8063 | 2598 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (exp (* a eps)) 1) |
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1) |
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1) |
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1) |
(* b eps) |
(* b (+ eps (* 1/2 (* b (pow eps 2))))) |
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2)))))) |
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3)))))))) |
(* eps (- (exp (* a eps)) 1)) |
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1))) |
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1))) |
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1))) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (+ a b)) |
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))) |
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))) |
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3))))))))) |
(* a eps) |
(* eps (+ a (* 1/2 (* (pow a 2) eps)))) |
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))) |
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3)))))))) |
(* b eps) |
(* eps (+ b (* 1/2 (* (pow b 2) eps)))) |
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2)))))) |
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3)))))))) |
(* (pow eps 2) (+ a b)) |
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))) |
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))) |
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3))))))))) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(- (exp (* b eps)) 1) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(- (exp (* b eps)) 1) |
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1) |
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1) |
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1) |
(* a eps) |
(* a (+ eps (* 1/2 (* a (pow eps 2))))) |
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2)))))) |
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3)))))))) |
(* eps (- (exp (* b eps)) 1)) |
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1))) |
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1))) |
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1))) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(- (exp (* a eps)) 1) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
| Outputs |
|---|
(expm1.f64 (*.f64 eps a)) |
(fma.f64 (fma.f64 eps b #s(literal 1 binary64)) (pow.f64 (exp.f64 a) eps) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) (pow.f64 (exp.f64 a) eps)) (*.f64 eps eps) (*.f64 (pow.f64 (exp.f64 a) eps) eps)) b (expm1.f64 (*.f64 eps a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (exp.f64 a) eps)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 a) eps))) b (*.f64 (pow.f64 (exp.f64 a) eps) eps)) b (expm1.f64 (*.f64 eps a))) |
(*.f64 eps b) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 eps eps) eps) b) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) b) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) b eps) b) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) b) #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))) b (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) b eps) b) |
(*.f64 (expm1.f64 (*.f64 eps a)) eps) |
(fma.f64 (*.f64 (*.f64 eps b) eps) (pow.f64 (exp.f64 a) eps) (*.f64 (expm1.f64 (*.f64 eps a)) eps)) |
(fma.f64 (fma.f64 (*.f64 b (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 a) eps) (*.f64 (*.f64 eps eps) (pow.f64 (exp.f64 a) eps))) b (*.f64 (expm1.f64 (*.f64 eps a)) eps)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) b)) (pow.f64 (exp.f64 a) eps) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 a) eps))) b (*.f64 (*.f64 eps eps) (pow.f64 (exp.f64 a) eps))) b (*.f64 (expm1.f64 (*.f64 eps a)) eps)) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (/.f64 (*.f64 eps eps) (expm1.f64 (*.f64 eps a)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) b (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 eps a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (/.f64 (*.f64 eps eps) (expm1.f64 (*.f64 eps a)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) b (fma.f64 (*.f64 (pow.f64 (exp.f64 a) eps) (/.f64 (*.f64 eps eps) (expm1.f64 (*.f64 eps a)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) b (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) eps) #s(literal 1/2 binary64) (+.f64 b a)) eps) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64)) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps) |
(*.f64 eps a) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) eps) #s(literal 1/2 binary64) a) eps) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps) |
(*.f64 eps b) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 eps eps) eps) b) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps) |
(*.f64 (*.f64 (+.f64 b a) eps) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) eps) #s(literal 1/2 binary64) (+.f64 b a)) eps) eps) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64)) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) (*.f64 eps eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps) eps) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b a) a) b))) (*.f64 (*.f64 b a) a)) (/.f64 (+.f64 b a) b) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (*.f64 (/.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b))))) eps (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) a) b) (/.f64 (/.f64 (+.f64 b a) b) a) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b a) a) b))) (*.f64 (*.f64 b a) a)) (/.f64 (+.f64 b a) b) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (*.f64 (/.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b))))) (*.f64 (/.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b a) a) b))) (*.f64 b a)))))) eps (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b a) a) b))) (*.f64 (*.f64 b a) a)) (/.f64 (+.f64 b a) b) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) (*.f64 (/.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) a) (/.f64 #s(literal 1/2 binary64) b)))))) eps (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(expm1.f64 (*.f64 eps b)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(expm1.f64 (*.f64 eps b)) |
(fma.f64 (fma.f64 eps a #s(literal 1 binary64)) (pow.f64 (exp.f64 b) eps) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (pow.f64 (exp.f64 b) eps)) (*.f64 eps eps) (*.f64 (pow.f64 (exp.f64 b) eps) eps)) a (expm1.f64 (*.f64 eps b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 (pow.f64 (exp.f64 b) eps) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 (exp.f64 b) eps) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))) a (*.f64 (pow.f64 (exp.f64 b) eps) eps)) a (expm1.f64 (*.f64 eps b))) |
(*.f64 eps a) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) eps) #s(literal 1/2 binary64) a) eps) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) a eps) a) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) a eps) a) |
(*.f64 (expm1.f64 (*.f64 eps b)) eps) |
(fma.f64 (*.f64 (*.f64 eps eps) a) (pow.f64 (exp.f64 b) eps) (*.f64 (expm1.f64 (*.f64 eps b)) eps)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) a)) (pow.f64 (exp.f64 b) eps) (*.f64 (pow.f64 (exp.f64 b) eps) (*.f64 eps eps))) a (*.f64 (expm1.f64 (*.f64 eps b)) eps)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) a)) (pow.f64 (exp.f64 b) eps) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 b) eps))) a (*.f64 (pow.f64 (exp.f64 b) eps) (*.f64 eps eps))) a (*.f64 (expm1.f64 (*.f64 eps b)) eps)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 b) eps) (/.f64 (*.f64 eps eps) (expm1.f64 (*.f64 eps b)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 b) eps) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (expm1.f64 (*.f64 eps b)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 b) eps) (/.f64 (*.f64 eps eps) (expm1.f64 (*.f64 eps b)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (*.f64 (pow.f64 (exp.f64 b) eps) (/.f64 (*.f64 eps eps) (expm1.f64 (*.f64 eps b)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 eps b))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(expm1.f64 (*.f64 eps a)) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 0 | 30 | 54 |
| 1 | 108 | 54 |
| 2 | 766 | 54 |
| 0 | 8486 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) |
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
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Compiled 21 816 to 1 816 computations (91.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 566 | 6 | 572 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 567 | 6 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.9% | (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
| ▶ | 39.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
| 44.2% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)) | |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
| ▶ | 49.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ▶ | 49.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
Compiled 436 to 286 computations (34.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | (*.f64 eps (+.f64 b a)) | |
| cost-diff | 0 | (expm1.f64 (*.f64 eps (+.f64 b a))) | |
| cost-diff | 0 | (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) | |
| cost-diff | 512 | (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) | |
| cost-diff | 640 | (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) | |
| cost-diff | 2304 | (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) b) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | (/.f64 (+.f64 b a) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 b a) b) a) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 439 |
| 0 | 88 | 397 |
| 1 | 177 | 397 |
| 2 | 341 | 394 |
| 3 | 1047 | 372 |
| 4 | 4733 | 348 |
| 5 | 6231 | 348 |
| 0 | 8138 | 348 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(/.f64 (+.f64 b a) b) |
(+.f64 b a) |
b |
a |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) |
(*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) |
(*.f64 b a) |
b |
a |
(*.f64 (*.f64 b a) a) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
(/.f64 (/.f64 (+.f64 b a) a) a) |
(/.f64 (+.f64 b a) a) |
(+.f64 b a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) |
(pow.f64 (+.f64 b a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
eps |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) |
(expm1.f64 (*.f64 eps (+.f64 b a))) |
(*.f64 eps (+.f64 b a)) |
eps |
(+.f64 b a) |
b |
a |
(*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a))) |
(expm1.f64 (*.f64 eps b)) |
(*.f64 eps b) |
(expm1.f64 (*.f64 eps a)) |
(*.f64 eps a) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(/.f64 (+.f64 b a) b) |
(+.f64 b a) |
b |
a |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (/.f64 eps b) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) a) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(fma.f64 (/.f64 eps b) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) a) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) b) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) a) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) (+.f64 b a)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b a)) b) a) |
(*.f64 (*.f64 (+.f64 b a) b) a) |
(*.f64 b a) |
b |
a |
(*.f64 (*.f64 b a) a) |
#s(literal -1/2 binary64) |
(*.f64 b b) |
(/.f64 (/.f64 (+.f64 b a) a) a) |
(/.f64 (+.f64 b a) a) |
(+.f64 b a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b)) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) |
(pow.f64 (+.f64 b a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
eps |
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))) (/.f64 eps (expm1.f64 (*.f64 b eps)))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
eps |
(+.f64 b a) |
b |
a |
(*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps))) |
(expm1.f64 (*.f64 b eps)) |
(*.f64 b eps) |
(expm1.f64 (*.f64 a eps)) |
(*.f64 a eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a))) | |
| accuracy | 0.02734375 | (*.f64 eps (+.f64 b a)) | |
| accuracy | 0.0546875 | (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) | |
| accuracy | 56.70281980244127 | (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) | |
| accuracy | 0.32421875 | (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) | |
| accuracy | 12.762047912134118 | (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) | |
| accuracy | 41.76136340838442 | (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) | |
| accuracy | 62.41543828291267 | (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) b) | |
| accuracy | 32.15910802081493 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) a) | |
| accuracy | 32.34178338060299 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) | |
| accuracy | 0 | (+.f64 b a) | |
| accuracy | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) | |
| accuracy | 0.015625 | (/.f64 (+.f64 b a) b) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 (+.f64 b a) b) a) |
| 255.0ms | 256× | 2 | valid |
Compiled 845 to 105 computations (87.6% saved)
ival-mult: 56.0ms (28.6% of total)ival-div: 54.0ms (27.6% of total)adjust: 35.0ms (17.9% of total)ival-expm1: 27.0ms (13.8% of total)ival-add: 16.0ms (8.2% of total)ival-pow2: 6.0ms (3.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 b a) b) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 b a) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (expm1.f64 (*.f64 eps (+.f64 b a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 eps (+.f64 b a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 b a) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 b a) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 b a) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 b a) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 b a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 b a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 b a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (+.f64 b a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | eps | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) |
| 13.0ms | a | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) |
| 8.0ms | b | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) |
| 8.0ms | b | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) |
| 7.0ms | a | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (+ (* (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (/ (/ (+ b a) a) a)) (* (/ 1/2 b) (/ (pow (+ b a) 2) a))) (/ (* (+ (* (* b a) b) (* (* b a) a)) -1/2) (* b b)) (+ (* (* b a) b) (* (* b a) a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* (- (exp (* eps (+ b a))) 1) eps) (- (exp (* eps (+ b a))) 1) (* eps (+ b a)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (- (exp (* eps (+ b a))) 1) eps) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) (* (- (exp (* eps b)) 1) (- (exp (* eps a)) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 12093 |
| 1 | 1659 | 11569 |
| 2 | 5289 | 11503 |
| 0 | 8056 | 9874 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ a b) |
(/ (+ a b) b) |
(/ (+ a b) b) |
(/ (+ a b) b) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(* -1/2 (/ (pow a 2) b)) |
(/ (+ (* -1/2 (* a b)) (* -1/2 (pow a 2))) b) |
(/ (+ (* -1/2 (* a b)) (* -1/2 (pow a 2))) b) |
(/ (+ (* -1/2 (* a b)) (* -1/2 (pow a 2))) b) |
(* (pow a 2) b) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(* b (+ (* a b) (pow a 2))) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(* eps (- (exp (* a eps)) 1)) |
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1))) |
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1))) |
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1))) |
(- (exp (* a eps)) 1) |
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1) |
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1) |
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1) |
(* a eps) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
a |
(+ a (* 2 b)) |
(+ a (* b (+ 2 (/ b a)))) |
(+ a (* b (+ 2 (/ b a)))) |
(* 1/2 (/ a b)) |
(/ (+ b (* 1/2 a)) b) |
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b) |
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(* b (* eps (- (exp (* a eps)) 1))) |
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1)))) |
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1)))) |
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1)))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(/ (+ (* -1/2 a) (* 1/2 a)) b) |
(* -1/2 a) |
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b))) |
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b))) |
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(* b eps) |
(* b (+ eps (/ (* a eps) b))) |
(* b (+ eps (/ (* a eps) b))) |
(* b (+ eps (/ (* a eps) b))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b)))) |
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2))))) |
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2))))) |
(* 1/2 (/ b a)) |
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b))) |
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b)))) |
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b)))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(/ 1 b) |
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) |
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) |
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) |
(* -1 (/ (+ (* -1/2 a) (* 1/2 a)) b)) |
(* -1/2 a) |
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b))) |
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b))) |
(+ (* -1/2 a) (* -1/2 (/ (pow a 2) b))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(* (pow b 2) (+ a (/ (pow a 2) b))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(* eps (- (exp (* eps (- a (* -1 b)))) 1)) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(- (exp (* eps (- a (* -1 b)))) 1) |
(* b eps) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b)))) |
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a))) |
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a))) |
(* 1/2 (/ b a)) |
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(* (pow eps 2) (+ a b)) |
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))) |
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))) |
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3))))))))) |
(* eps (+ a b)) |
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))) |
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))) |
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3))))))))) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(* a (* b (pow eps 2))) |
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))))) |
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))))))))) |
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2)))))))))))))))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(* eps (+ a b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
b |
(+ a b) |
(+ a b) |
(+ a b) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(* -1/2 a) |
(* a (- (* -1/2 (/ a b)) 1/2)) |
(* a (- (* -1/2 (/ a b)) 1/2)) |
(* a (- (* -1/2 (/ a b)) 1/2)) |
(* a (pow b 2)) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(* a (+ (* a b) (pow b 2))) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(* eps (- (exp (* b eps)) 1)) |
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1))) |
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1))) |
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1))) |
(- (exp (* b eps)) 1) |
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1) |
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1) |
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1) |
(* b eps) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(+ (* a eps) (* b eps)) |
(/ (pow b 2) a) |
(/ (+ (* 2 (* a b)) (pow b 2)) a) |
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a) |
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a) |
(* 1/2 (/ b a)) |
(/ (+ a (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a) |
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(* a (* eps (- (exp (* b eps)) 1))) |
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1)))) |
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1)))) |
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1)))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(* -1/2 (/ (pow a 2) b)) |
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) |
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) |
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(* eps (- (exp (* eps (+ a b))) 1)) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(- (exp (* eps (+ a b))) 1) |
(* a eps) |
(* a (+ eps (/ (* b eps) a))) |
(* a (+ eps (/ (* b eps) a))) |
(* a (+ eps (/ (* b eps) a))) |
a |
(* a (+ 1 (* 2 (/ b a)))) |
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) |
(* 1/2 (/ a b)) |
(* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) |
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b))))) |
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b))))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1/2 b) (* 1/2 b)) a)) |
(* -1/2 (/ (pow a 2) b)) |
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) |
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) |
(* -1 (* (pow a 2) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))))) |
(* (pow a 2) b) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(* (pow a 2) (+ b (/ (pow b 2) a))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(* eps (- (exp (* eps (- b (* -1 a)))) 1)) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(- (exp (* eps (- b (* -1 a)))) 1) |
(* a eps) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a))))) |
a |
(* -1 (* a (- (* -2 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1))) |
(* 1/2 (/ a b)) |
(* a (+ (/ 1 a) (* 1/2 (/ 1 b)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) |
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b))))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) b (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))) b #s(literal 1 binary64)) b) |
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(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (*.f64 a a)) (/.f64 (+.f64 b a) (*.f64 b b)) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) a) a))) (*.f64 a a)) (/.f64 (+.f64 b a) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 b (+.f64 b a)) a) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 (*.f64 (*.f64 b (+.f64 b a)) a) #s(literal 1/2 binary64)) (*.f64 b a))))) (/.f64 (*.f64 (*.f64 (*.f64 b (+.f64 b a)) a) #s(literal 1/2 binary64)) (*.f64 b a)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 b (+.f64 b a)) a) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) a) a))) (*.f64 b a)))))) eps (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) a) a))) (*.f64 a a)) (/.f64 (+.f64 b a) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 b (+.f64 b a)) a) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 (*.f64 (*.f64 b (+.f64 b a)) a) #s(literal 1/2 binary64)) (*.f64 b a)))))) eps (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 b (+.f64 b a)) a) b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) a)))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (*.f64 (*.f64 eps eps) b) a) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b (+.f64 b a)) a) #s(literal 1/2 binary64)) eps (*.f64 b a)) eps) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b (+.f64 b a)) a) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) a) a))) eps)) eps (*.f64 b a)) eps) eps) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b (+.f64 b a)) a) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) b) b (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) eps))) eps)) eps (*.f64 b a)) eps) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
#s(literal 1 binary64) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
b |
(+.f64 b a) |
(+.f64 b a) |
(+.f64 b a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 #s(literal -1/2 binary64) a) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) a) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) a) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) a) |
(*.f64 (*.f64 b b) a) |
(*.f64 (*.f64 b (+.f64 b a)) a) |
(*.f64 (*.f64 b (+.f64 b a)) a) |
(*.f64 (*.f64 b (+.f64 b a)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(*.f64 (expm1.f64 (*.f64 b eps)) eps) |
(fma.f64 (*.f64 (*.f64 eps eps) a) (pow.f64 (exp.f64 b) eps) (*.f64 (expm1.f64 (*.f64 b eps)) eps)) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 b) eps) (*.f64 (*.f64 eps eps) (pow.f64 (exp.f64 b) eps))) a (*.f64 (expm1.f64 (*.f64 b eps)) eps)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) a)) (pow.f64 (exp.f64 b) eps) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 b) eps))) a (*.f64 (*.f64 eps eps) (pow.f64 (exp.f64 b) eps))) a (*.f64 (expm1.f64 (*.f64 b eps)) eps)) |
(expm1.f64 (*.f64 b eps)) |
(fma.f64 (fma.f64 a eps #s(literal 1 binary64)) (pow.f64 (exp.f64 b) eps) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 eps eps)) (pow.f64 (exp.f64 b) eps) (*.f64 (pow.f64 (exp.f64 b) eps) eps)) a (expm1.f64 (*.f64 b eps))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) a)) (pow.f64 (exp.f64 b) eps) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 b) eps))) a (*.f64 (pow.f64 (exp.f64 b) eps) eps)) a (expm1.f64 (*.f64 b eps))) |
(*.f64 b eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (+.f64 b a) eps) |
(*.f64 (/.f64 b a) b) |
(/.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) a b)) a) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) a) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)) a) |
(*.f64 (/.f64 b a) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) b a) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64)) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) eps) #s(literal 1/2 binary64)))) a (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a) |
(*.f64 (expm1.f64 (*.f64 b eps)) (*.f64 a eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (expm1.f64 (*.f64 b eps))) (*.f64 eps eps) (*.f64 (expm1.f64 (*.f64 b eps)) eps)) a) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64))) (expm1.f64 (*.f64 b eps)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (expm1.f64 (*.f64 b eps)))) a (*.f64 (expm1.f64 (*.f64 b eps)) eps)) a) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (expm1.f64 (*.f64 b eps)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) a)) (expm1.f64 (*.f64 b eps)) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (expm1.f64 (*.f64 b eps)))) a)) a (*.f64 (expm1.f64 (*.f64 b eps)) eps)) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 a b) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
a |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) a) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) |
(*.f64 (*.f64 b a) a) |
(*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) a) a) |
(*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) a) a) |
(*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) a) a) |
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(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 a eps) |
(*.f64 (fma.f64 eps (/.f64 b a) eps) a) |
(*.f64 (fma.f64 eps (/.f64 b a) eps) a) |
(*.f64 (fma.f64 eps (/.f64 b a) eps) a) |
a |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) #s(literal 1 binary64)) a) |
(fma.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a a) |
(fma.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 b a) b) a)) a a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 b a) a) #s(literal 1/2 binary64)) a (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (/.f64 b a) a) #s(literal 1/2 binary64)) a (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 a b) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
a |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b)) a) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) |
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a)) |
(*.f64 (*.f64 b a) a) |
(*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) a) a) |
(*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) a) a) |
(*.f64 (*.f64 (fma.f64 (/.f64 b a) b b) a) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(expm1.f64 (*.f64 (+.f64 b a) eps)) |
(*.f64 a eps) |
(*.f64 (fma.f64 eps (/.f64 b a) eps) a) |
(*.f64 (fma.f64 eps (/.f64 b a) eps) a) |
(*.f64 (fma.f64 eps (/.f64 b a) eps) a) |
a |
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 b a)) (neg.f64 a) a) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) b) a)) (neg.f64 a)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 2 binary64)) b) a)) (neg.f64 a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) a) |
(fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) (/.f64 #s(literal 1/2 binary64) b)) a) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) (/.f64 #s(literal 1/2 binary64) b)) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 303 |
| 0 | 88 | 267 |
| 1 | 396 | 267 |
| 2 | 3230 | 265 |
| 0 | 8584 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
(/.f64 (/.f64 (+.f64 b a) b) a) |
(/.f64 (+.f64 b a) b) |
(+.f64 b a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
(*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) |
(expm1.f64 (*.f64 eps (+.f64 b a))) |
(*.f64 eps (+.f64 b a)) |
(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
(*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a))) |
| Outputs |
|---|
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Compiled 80 473 to 4 548 computations (94.3% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 488 | 5 | 1 493 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 491 | 8 | 1 499 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
| ▶ | 62.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
| ▶ | 49.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
| ▶ | 62.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) |
| ✓ | 49.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 49.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ▶ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) |
| ▶ | 100.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
Compiled 452 to 299 computations (33.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b a) | |
| cost-diff | 0 | (/.f64 (*.f64 b a) (+.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) | |
| cost-diff | 0 | (+.f64 (/.f64 b a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) | |
| cost-diff | 0 | #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) | |
| cost-diff | 0 | (/.f64 a b) | |
| cost-diff | 0 | #s(approx (/ (+ b a) b) (/.f64 a b)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) | |
| cost-diff | -384 | (/.f64 (+.f64 b a) (*.f64 b a)) | |
| cost-diff | 0 | (*.f64 b a) | |
| cost-diff | 0 | (+.f64 b a) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 311 |
| 0 | 54 | 307 |
| 1 | 90 | 307 |
| 2 | 162 | 307 |
| 3 | 272 | 307 |
| 4 | 534 | 307 |
| 5 | 1135 | 307 |
| 6 | 3807 | 307 |
| 7 | 5854 | 307 |
| 0 | 8028 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 #s(literal 1 binary64) b) |
b |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
(+.f64 b a) |
b |
a |
(*.f64 b a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) |
#s(approx (/ (+ b a) b) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) |
#s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal 1 binary64) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 b a) (+.f64 b a)) |
(*.f64 b a) |
b |
a |
(+.f64 b a) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (/.f64 (+.f64 b a) a) b))) |
#s(approx (/ (/ (+ b a) b) a) (/.f64 (/.f64 (+.f64 b a) a) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(/.f64 #s(literal 1 binary64) b) |
b |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(+.f64 b a) |
b |
a |
(*.f64 b a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) |
#s(approx (/ (+ b a) b) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (/.f64 (+.f64 b a) a) b))) |
#s(approx (/ (/ (+ b a) b) a) (/.f64 (/.f64 (+.f64 b a) a) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
(/.f64 (+.f64 b a) a) |
(/.f64 b a) |
b |
a |
#s(literal 1 binary64) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) a) b)) |
(/.f64 (/.f64 (+.f64 b a) a) b) |
#s(literal 1 binary64) |
(*.f64 (/.f64 b (+.f64 b a)) a) |
(*.f64 b a) |
b |
a |
(+.f64 b a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 b a) | |
| accuracy | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) | |
| accuracy | 0.03125 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) | |
| accuracy | 24.154441146821075 | (/.f64 (*.f64 b a) (+.f64 b a)) | |
| accuracy | 0 | #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)) | |
| accuracy | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 b a) #s(literal 1 binary64)) | |
| accuracy | 0.13671875 | (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) | |
| accuracy | 0 | (/.f64 a b) | |
| accuracy | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) | |
| accuracy | 0.1015625 | (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) | |
| accuracy | 31.960951484257794 | #s(approx (/ (+ b a) b) (/.f64 a b)) | |
| accuracy | 0 | (+.f64 b a) | |
| accuracy | 0 | (*.f64 b a) | |
| accuracy | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) | |
| accuracy | 24.25235740343049 | (/.f64 (+.f64 b a) (*.f64 b a)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) a) | |
| accuracy | 0 | #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) | |
| accuracy | 0 | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) | |
| accuracy | 0.02734375 | (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
| 73.0ms | 256× | 0 | valid |
Compiled 538 to 72 computations (86.6% saved)
ival-div: 37.0ms (64.9% of total)ival-mult: 9.0ms (15.8% of total)ival-add: 7.0ms (12.3% of total)ival-expm1: 4.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 b a) (*.f64 b a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ b a) b) (/.f64 a b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 a b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 b a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 b a) (+.f64 b a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b a) (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b a) (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b a) (+.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b a) (+.f64 b a)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 a) (/ 1 b)) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* b a) (+ b a))) |
| 3.0ms | a | @ | -inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 a) (/ 1 b)) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* b a) (+ b a))) |
| 3.0ms | b | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 a) (/ 1 b)) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* b a) (+ b a))) |
| 2.0ms | a | @ | inf | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 a) (/ 1 b)) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* b a) (+ b a))) |
| 2.0ms | b | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 a) (/ 1 b)) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ b a) (* b a) (/ (+ b a) (* b a)) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (/ a b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ (/ b a) 1) b) (+ (/ b a) 1) (/ 1 (/ (* b a) (+ b a))) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (* b a) (+ b a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 10426 |
| 1 | 888 | 10218 |
| 2 | 2731 | 9806 |
| 0 | 8162 | 8600 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
a |
(+ a b) |
(+ a b) |
(+ a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ a b) |
(/ (+ a b) b) |
(/ (+ a b) b) |
(/ (+ a b) b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
1 |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(/ 1 b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ (+ 1 (/ b a)) b) |
(/ 1 b) |
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b) |
b |
(* b (+ 1 (* -1 (/ b a)))) |
(* b (+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))) |
(* b (+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
b |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* b (+ 1 (/ a b))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ b a) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
a |
(+ a (* -1 (/ (pow a 2) b))) |
(- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) |
(- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
b |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* -1 (* b (- (* -1 (/ a b)) 1))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ b a) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(* b (+ (/ 1 a) (/ 1 b))) |
(/ 1 a) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
a |
(+ a (* -1 (/ (pow a 2) b))) |
(+ a (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b))) |
(+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow a 4) b)) (pow a 3)) b)) (pow a 2)) b))) |
(/ (+ a b) (* a b)) |
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b))) |
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(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 a) |
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(/ 1 a) |
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(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 a) |
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(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
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b |
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(* a b) |
(* a b) |
(* a b) |
(* a b) |
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(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
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(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
1 |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(+ 1 (/ a b)) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ b a) |
(/ (+ a b) a) |
(/ (+ a b) a) |
(/ (+ a b) a) |
(/ 1 a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ (+ 1 (/ a b)) a) |
(/ 1 a) |
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a) |
a |
(* a (+ 1 (* -1 (/ a b)))) |
(* a (+ 1 (* a (- (/ a (pow b 2)) (/ 1 b))))) |
(* a (+ 1 (* a (- (* a (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
a |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a (+ 1 (/ b a))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
b |
(+ b (* -1 (/ (pow b 2) a))) |
(- (+ b (/ (pow b 3) (pow a 2))) (/ (pow b 2) a)) |
(- (+ b (* -1 (/ (pow b 4) (pow a 3)))) (+ (* -1 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
a |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* -1 (* a (- (* -1 (/ b a)) 1))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ a b) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(* a (+ (/ 1 a) (/ 1 b))) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ a b) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
1 |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(+ 1 (/ b a)) |
(/ 1 b) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(+ (/ 1 a) (/ 1 b)) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) |
b |
(+ b (* -1 (/ (pow b 2) a))) |
(+ b (* -1 (/ (+ (* -1 (/ (pow b 3) a)) (pow b 2)) a))) |
(+ b (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (pow b 3)) a)) (pow b 2)) a))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
a |
(+.f64 b a) |
(+.f64 b a) |
(+.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 a b) |
(/.f64 (+.f64 b a) b) |
(/.f64 (+.f64 b a) b) |
(/.f64 (+.f64 b a) b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
#s(literal 1 binary64) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(/.f64 #s(literal 1 binary64) b) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))))))) eps) #s(literal 1/2 binary64))))) b (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))))) b (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps)))))) b #s(literal 1 binary64)) b) |
b |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (-.f64 #s(literal 1 binary64) (/.f64 b a))) b) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 b (pow.f64 a #s(literal 3 binary64)))) b (/.f64 #s(literal -1 binary64) a)) b #s(literal 1 binary64)) b) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
b |
(fma.f64 (/.f64 a b) b b) |
(fma.f64 (/.f64 a b) b b) |
(fma.f64 (/.f64 a b) b b) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 b a) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
a |
(-.f64 a (*.f64 (/.f64 a b) a)) |
(fma.f64 (*.f64 (/.f64 a b) a) (+.f64 (/.f64 a b) #s(literal -1 binary64)) a) |
(fma.f64 (*.f64 (/.f64 a b) a) (+.f64 (/.f64 a b) #s(literal -1 binary64)) (-.f64 a (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
b |
(fma.f64 (/.f64 a b) b b) |
(fma.f64 (/.f64 a b) b b) |
(fma.f64 (/.f64 a b) b b) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 b a) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) a) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
a |
(-.f64 a (*.f64 (/.f64 a b) a)) |
(fma.f64 (*.f64 (/.f64 a b) a) (+.f64 (/.f64 a b) #s(literal -1 binary64)) a) |
(-.f64 a (/.f64 (fma.f64 a a (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) b)) b)) |
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(/.f64 #s(literal 1 binary64) a) |
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(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) eps) #s(literal 1/2 binary64))))) a (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
b |
(+.f64 b a) |
(+.f64 b a) |
(+.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) eps) #s(literal 1/2 binary64))))) a (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
#s(literal 1 binary64) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) eps) #s(literal 1/2 binary64))))) a (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 b a) |
(/.f64 (+.f64 b a) a) |
(/.f64 (+.f64 b a) a) |
(/.f64 (+.f64 b a) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (fma.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/6 binary64)) #s(literal 1/24 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))))))) eps) #s(literal 1/2 binary64))))) a (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))))) a (*.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps)))))) a #s(literal 1 binary64)) a) |
a |
(-.f64 a (*.f64 (/.f64 a b) a)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a (-.f64 #s(literal 1 binary64) (/.f64 a b))) a) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) b) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1 binary64) b)) a #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
a |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 a b) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
b |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(fma.f64 (*.f64 (/.f64 b a) b) (+.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 b a) b) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
a |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(fma.f64 (/.f64 b a) a a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(*.f64 b a) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 a b) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(+.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 a b) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) |
b |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) |
(fma.f64 (*.f64 (/.f64 b a) b) (+.f64 (/.f64 b a) #s(literal -1 binary64)) b) |
(-.f64 b (/.f64 (fma.f64 b b (/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 b #s(literal 3 binary64))) a)) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 286 |
| 0 | 54 | 282 |
| 1 | 228 | 282 |
| 2 | 1923 | 282 |
| 0 | 8695 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) |
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) a) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
(+.f64 b a) |
(*.f64 b a) |
(/.f64 (+.f64 b a) (*.f64 b a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
(/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a) |
#s(approx (/ (+ b a) b) (/.f64 a b)) |
(/.f64 a b) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) |
#s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)) |
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b) |
(+.f64 (/.f64 b a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) |
(/.f64 (*.f64 b a) (+.f64 b a)) |
| Outputs |
|---|
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Compiled 81 936 to 3 625 computations (95.6% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 818 | 0 | 1 818 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 818 | 8 | 1 826 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
| ✓ | 62.1% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
| ✓ | 49.6% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
| ✓ | 62.3% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) |
| ✓ | 49.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
| ✓ | 49.5% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | 99.8% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) |
| ✓ | 100.0% | #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
Compiled 694 to 274 computations (60.5% saved)
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (+.f64 b a)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 b a) b (*.f64 (*.f64 b a) a)) #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 (/.f64 (+.f64 b a) a) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))) eps (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 b a))) eps) (*.f64 (expm1.f64 (*.f64 eps b)) (expm1.f64 (*.f64 eps a)))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 eps a))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)) |
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
4 calls:
| 8.0ms | a |
| 4.0ms | eps |
| 4.0ms | b |
| 3.0ms | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | eps |
| 100.0% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
Compiled 27 to 26 computations (3.7% saved)
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(approx (/ (+ b a) b) (/.f64 a b)) a)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
4 calls:
| 2.0ms | eps |
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 2 | a |
| 83.1% | 3 | b |
| 76.6% | 3 | eps |
| 62.1% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
Compiled 27 to 26 computations (3.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
4 calls:
| 1.0ms | b |
| 1.0ms | eps |
| 1.0ms | a |
| 1.0ms | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 1 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) |
| 49.5% | 1 | eps |
| 49.5% | 1 | b |
| 49.5% | 1 | a |
Compiled 27 to 26 computations (3.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -2.4870475415538724e-161 | -8.329986524815094e-162 |
| 13.0ms | 80× | 0 | valid |
Compiled 307 to 229 computations (25.4% saved)
ival-mult: 9.0ms (80.1% of total)ival-div: 1.0ms (8.9% of total)ival-expm1: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 128 |
| 1 | 34 | 128 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) |
(if (<=.f64 a #s(literal -6205025112157247/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))) |
(if (<=.f64 a #s(literal -6205025112157247/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))) |
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 3148 |
| 1 | 1205 | 3100 |
| 2 | 3793 | 3100 |
| 0 | 8063 | 2598 |
| 0 | 506 | 12093 |
| 1 | 1659 | 11569 |
| 2 | 5289 | 11503 |
| 0 | 8056 | 9874 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 144 to 55 computations (61.8% saved)
(sort a b)
Compiled 478 to 214 computations (55.2% saved)
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