
Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 3 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 4 |
| 0% | 0% | 19% | 49.4% | 0% | 31.6% | 0% | 5 |
| 0% | 0% | 15.8% | 49.4% | 0% | 34.8% | 0% | 6 |
| 0% | 0% | 11.1% | 49.4% | 0% | 39.5% | 0% | 7 |
| 0% | 0% | 8.7% | 49.4% | 0% | 41.9% | 0% | 8 |
| 0% | 0% | 5.9% | 49.4% | 0% | 44.6% | 0% | 9 |
| 0% | 0% | 4.5% | 49.4% | 0% | 46% | 0% | 10 |
| 0% | 0% | 3.1% | 49.4% | 0% | 47.5% | 0% | 11 |
| 0% | 0% | 2.7% | 49.4% | 0% | 47.9% | 0% | 12 |
Compiled 27 to 19 computations (29.6% saved)
| 3.8s | 26 489× | 0 | invalid |
| 708.0ms | 4 507× | 1 | valid |
| 390.0ms | 3 749× | 0 | valid |
...in/eval/compile.rkt:111:19: 720.0ms (21.4% of total)ival-sin: 688.0ms (20.4% of total)ival-sub: 348.0ms (10.3% of total)ival-<: 304.0ms (9% of total)ival-add: 294.0ms (8.7% of total)ival-mult: 277.0ms (8.2% of total)ival-<=: 259.0ms (7.7% of total)ival-fabs: 244.0ms (7.2% of total)ival-and: 106.0ms (3.1% of total)adjust: 78.0ms (2.3% of total)...in/eval/compile.rkt:110:19: 38.0ms (1.1% of total)ival-assert: 14.0ms (0.4% of total)| 1× | egg-herbie |
| 154× | fmm-def |
| 59× | fma-define |
| 49× | sub-neg |
| 39× | cancel-sign-sub-inv |
| 35× | associate--r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 226 |
| 1 | 49 | 210 |
| 2 | 101 | 210 |
| 3 | 201 | 210 |
| 4 | 378 | 210 |
| 5 | 481 | 210 |
| 6 | 638 | 210 |
| 7 | 722 | 210 |
| 8 | 764 | 210 |
| 9 | 770 | 210 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))) |
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)) |
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))) |
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps)) |
| Outputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))) |
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)) |
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))) |
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)) |
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))) |
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps)) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 220 | 1 | (-1.7628882589760094e-261 9.187840117635857e-264) | 4 | (-3.1086862345625985e-130 5.0590193614660454e-132) | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | (sin.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) | cancellation | 217 | 7 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 216 | 4 |
| - | 1 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 216 | 4 | 0 |
| - | 1 | 3 | 32 |
| number | freq |
|---|---|
| 0 | 39 |
| 1 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 282× | 1 | valid |
| 13.0ms | 230× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-sin: 10.0ms (47.9% of total)ival-add: 4.0ms (19.2% of total)adjust: 3.0ms (14.4% of total)ival-sub: 3.0ms (14.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.1% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (sin.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 0 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 39× | fma-define |
| 32× | fmm-def |
| 12× | sub-neg |
| 10× | distribute-rgt-in |
| 9× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 76 |
| 1 | 15 | 76 |
| 2 | 20 | 76 |
| 3 | 28 | 76 |
| 4 | 37 | 76 |
| 5 | 54 | 76 |
| 6 | 92 | 76 |
| 7 | 132 | 76 |
| 8 | 180 | 76 |
| 9 | 215 | 76 |
| 10 | 241 | 76 |
| 11 | 243 | 76 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(sin.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(sin.f64 x) |
| Outputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(sin.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(sin.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (sin.f64 (+.f64 x eps)) |
| ✓ | accuracy | 62.1% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 16.0ms | 141× | 1 | valid |
| 6.0ms | 115× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 5.0ms (37.9% of total)ival-add: 4.0ms (30.3% of total)adjust: 2.0ms (15.1% of total)ival-sub: 2.0ms (15.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))> |
#<alt (sin.f64 (+.f64 x eps))> |
#<alt (+.f64 x eps)> |
#<alt (sin.f64 x)> |
| Outputs |
|---|
#<alt (sin.f64 eps)> |
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))> |
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))> |
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))> |
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))> |
#<alt (sin.f64 eps)> |
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))> |
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))> |
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))> |
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))> |
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))> |
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))> |
#<alt (sin.f64 x)> |
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))> |
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))> |
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (+.f64 eps x))> |
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))> |
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))> |
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))> |
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))> |
#<alt eps> |
#<alt (+.f64 eps x)> |
#<alt (+.f64 eps x)> |
#<alt (+.f64 eps x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 eps x)> |
#<alt (+.f64 eps x)> |
#<alt (+.f64 eps x)> |
#<alt eps> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))> |
#<alt eps> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (- (sin (+ x eps)) (sin x)) |
| 1.0ms | eps | @ | 0 | (- (sin (+ x eps)) (sin x)) |
| 1.0ms | x | @ | 0 | (- (sin (+ x eps)) (sin x)) |
| 0.0ms | x | @ | 0 | (sin (+ x eps)) |
| 0.0ms | x | @ | -inf | (- (sin (+ x eps)) (sin x)) |
| 1× | batch-egg-rewrite |
| 978× | log1p-expm1-u |
| 978× | expm1-log1p-u |
| 461× | fma-define |
| 401× | log-prod |
| 211× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 68 |
| 1 | 160 | 68 |
| 2 | 2460 | 68 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(sin.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(sin.f64 x) |
| Outputs |
|---|
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) |
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x))) |
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x))) |
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) |
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))) |
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) |
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) |
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64)))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps))))) |
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))) |
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) |
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps))) |
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) |
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) |
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps))) |
(*.f64 (+.f64 x eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps))) |
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(pow.f64 (+.f64 x eps) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x eps))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x eps))) |
(exp.f64 (log.f64 (+.f64 x eps))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (+.f64 x eps))) |
(fma.f64 x #s(literal 1 binary64) eps) |
(fma.f64 eps #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x eps) |
(fma.f64 #s(literal 1 binary64) eps x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
| 1× | egg-herbie |
| 654× | distribute-lft-in |
| 511× | fmm-def |
| 481× | times-frac |
| 350× | cancel-sign-sub-inv |
| 238× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 542 | 10705 |
| 1 | 1224 | 10322 |
| 2 | 3585 | 9977 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 eps) |
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) |
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))) |
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)) |
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)) |
(sin.f64 eps) |
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)))))))) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) |
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) |
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) |
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) |
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) |
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (+.f64 eps x)) |
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) |
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) |
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) |
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) |
eps |
(+.f64 eps x) |
(+.f64 eps x) |
(+.f64 eps x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
x |
(+.f64 eps x) |
(+.f64 eps x) |
(+.f64 eps x) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))) |
eps |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))) |
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))) |
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x))) |
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x))) |
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) |
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))) |
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) |
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(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x))) |
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x))) |
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64)))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps))))) |
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))) |
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) |
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps))) |
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) |
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) |
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps))) |
(*.f64 (+.f64 x eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps))) |
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(pow.f64 (+.f64 x eps) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x eps))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x eps))) |
(exp.f64 (log.f64 (+.f64 x eps))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (+.f64 x eps))) |
(fma.f64 x #s(literal 1 binary64) eps) |
(fma.f64 eps #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x eps) |
(fma.f64 #s(literal 1 binary64) eps x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
| Outputs |
|---|
(sin.f64 eps) |
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) |
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)) #s(literal 1 binary64))))) |
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) #s(literal -1 binary64))) (sin.f64 eps)) |
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))) |
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))) |
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x)))))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x)))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
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(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
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(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) |
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(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
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(exp.f64 (log.f64 (sin.f64 (+.f64 x eps)))) |
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(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps)) |
(pow.f64 (+.f64 x eps) #s(literal 1 binary64)) |
(+.f64 eps x) |
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64)) |
(+.f64 eps x) |
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(+.f64 eps x) |
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) |
(+.f64 eps x) |
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) |
(+.f64 eps x) |
(log.f64 (exp.f64 (+.f64 x eps))) |
(+.f64 eps x) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps)))) |
(+.f64 eps x) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(+.f64 eps x) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps))) |
(+.f64 eps x) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))) |
(+.f64 eps x) |
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.f64 eps x) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x))) |
(+.f64 eps x) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.f64 eps x) |
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) |
(+.f64 eps x) |
(expm1.f64 (log1p.f64 (+.f64 x eps))) |
(expm1.f64 (log1p.f64 (+.f64 eps x))) |
(exp.f64 (log.f64 (+.f64 x eps))) |
(+.f64 eps x) |
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64))) |
(+.f64 eps x) |
(log1p.f64 (expm1.f64 (+.f64 x eps))) |
(+.f64 eps x) |
(fma.f64 x #s(literal 1 binary64) eps) |
(+.f64 eps x) |
(fma.f64 eps #s(literal 1 binary64) x) |
(+.f64 eps x) |
(fma.f64 #s(literal 1 binary64) x eps) |
(+.f64 eps x) |
(fma.f64 #s(literal 1 binary64) eps x) |
(+.f64 eps x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps) |
(+.f64 eps x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps) |
(+.f64 eps x) |
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x) |
(+.f64 eps x) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x) |
(+.f64 eps x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(+.f64 eps x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x) |
(+.f64 eps x) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
(sin.f64 x) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64)))) |
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 x)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (exp.f64 (log1p.f64 x))))) |
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(sin.f64 x) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) |
(sin.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(sin.f64 x) |
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64)) |
(sin.f64 x) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sin.f64 x) |
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64)) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) |
(sin.f64 x) |
(log.f64 (exp.f64 (sin.f64 x))) |
(sin.f64 x) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))) |
(sin.f64 x) |
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) |
(sin.f64 x) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(sin.f64 x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(sin.f64 x) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(sin.f64 x) |
Compiled 5 250 to 989 computations (81.2% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 5 | 315 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 310 | 6 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.1% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| ▶ | 100.0% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| ▶ | 100.0% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
| ▶ | 99.8% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ▶ | 99.5% | (*.f64 eps (cos.f64 x)) |
| ▶ | 98.7% | (sin.f64 eps) |
Compiled 131 to 90 computations (31.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) |
| ✓ | cost-diff | 128 | (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
| ✓ | cost-diff | 256 | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| cost-diff | 0 | (sin.f64 x) | |
| ✓ | cost-diff | 0 | (*.f64 eps (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 eps (cos.f64 x)) |
| ✓ | cost-diff | 0 | (sin.f64 eps) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
| cost-diff | 0 | (sin.f64 x) | |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| 3 085× | associate-*r* |
| 1 827× | fma-define |
| 460× | associate-*l* |
| 330× | distribute-lft-in |
| 291× | distribute-rgt-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 655 |
| 1 | 78 | 639 |
| 2 | 263 | 639 |
| 3 | 692 | 621 |
| 4 | 964 | 621 |
| 5 | 1146 | 621 |
| 6 | 1364 | 621 |
| 7 | 1749 | 621 |
| 8 | 2060 | 621 |
| 9 | 2099 | 621 |
| 10 | 2100 | 621 |
| 11 | 2100 | 621 |
| 12 | 2509 | 621 |
| 13 | 2945 | 621 |
| 14 | 2989 | 621 |
| 15 | 2989 | 621 |
| 16 | 2989 | 621 |
| 17 | 4229 | 621 |
| 18 | 4465 | 621 |
| 19 | 4631 | 621 |
| 20 | 4631 | 621 |
| 21 | 5325 | 621 |
| 22 | 5325 | 621 |
| 23 | 5325 | 621 |
| 24 | 5325 | 621 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
eps |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) |
(cos.f64 x) |
x |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
(sin.f64 x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
#s(literal -1/6 binary64) |
(*.f64 eps (cos.f64 x)) |
(sin.f64 eps) |
eps |
(*.f64 eps (cos.f64 x)) |
eps |
(cos.f64 x) |
x |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
eps |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(cos.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
#s(literal -1/2 binary64) |
(*.f64 eps (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(literal 2 binary64) |
x |
eps |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+.f64 eps #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) |
eps |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) |
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) |
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x)) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
(sin.f64 x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 eps (cos.f64 x)) |
(sin.f64 eps) |
eps |
(*.f64 eps (cos.f64 x)) |
eps |
(cos.f64 x) |
x |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))) |
eps |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
#s(literal -1/2 binary64) |
(*.f64 eps (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) |
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)) |
(fma.f64 eps #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 x #s(literal 2 binary64) eps) |
#s(literal 2 binary64) |
x |
eps |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(*.f64 eps #s(literal 1/2 binary64)) |
(+.f64 eps #s(literal 0 binary64)) |
eps |
#s(literal 0 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) |
| ✓ | accuracy | 100.0% | (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (sin.f64 x)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (sin.f64 eps) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (cos.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
| 57.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 190 to 32 computations (83.2% saved)
ival-mult: 20.0ms (53.1% of total)ival-add: 5.0ms (13.3% of total)ival-sin: 5.0ms (13.3% of total)ival-cos: 4.0ms (10.6% of total)...in/eval/compile.rkt:111:19: 4.0ms (10.6% of total)adjust: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (cos.f64 x)> |
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))> |
#<alt (sin.f64 eps)> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))> |
#<alt (*.f64 eps (sin.f64 x))> |
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))> |
#<alt (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) x)> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/6 binary64) eps)> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt eps> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))> |
#<alt eps> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))> |
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))> |
#<alt (*.f64 eps x)> |
#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))> |
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))> |
#<alt (cos.f64 x)> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))> |
#<alt eps> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))> |
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))> |
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))> |
#<alt (cos.f64 x)> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt eps> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))> |
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | -inf | (* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2)))) |
| 2.0ms | eps | @ | 0 | (* -1/2 (* eps (sin x))) |
| 1.0ms | x | @ | inf | (* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2)))) |
| 1.0ms | eps | @ | 0 | (* -1/6 (* eps (cos x))) |
| 1.0ms | eps | @ | 0 | (* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2)))) |
| 1× | batch-egg-rewrite |
| 444× | log1p-expm1-u |
| 288× | associate-*r* |
| 239× | expm1-log1p-u |
| 237× | add-cube-cbrt |
| 235× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 428 |
| 1 | 529 | 416 |
| 2 | 7723 | 416 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 x) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (sin.f64 x)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (cos.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/36 binary64))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) #s(literal -1/6 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/216 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) |
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 eps) (sin.f64 #s(literal 0 binary64)))) |
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) |
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
| 1× | egg-herbie |
| 801× | fma-define |
| 368× | fmm-def |
| 290× | cancel-sign-sub-inv |
| 289× | distribute-rgt-in |
| 282× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1101 | 24505 |
| 1 | 2763 | 23356 |
| 2 | 6380 | 22703 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/6 binary64) eps) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) |
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))) |
(*.f64 eps x) |
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))) |
(cos.f64 x) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x))) |
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (cos.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x)))) |
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (cos.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/36 binary64))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) #s(literal -1/6 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/216 binary64))) |
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(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) |
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) |
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64))) #s(literal -1/2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) |
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/10080 binary64) #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/6 binary64) eps) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (*.f64 #s(literal 1/12 binary64) eps) (pow.f64 x #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/6 binary64) eps)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/12 binary64) eps)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -1/144 binary64))) (*.f64 #s(literal -1/6 binary64) eps)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 #s(literal 1/4320 binary64) eps) (pow.f64 x #s(literal 2 binary64)))))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/144 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4320 binary64))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal -1/6 binary64) eps)) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) eps) |
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) |
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (pow.f64 x #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps) |
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))))) |
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/24 binary64) eps)))))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (*.f64 #s(literal -1/2 binary64) eps)) eps) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (*.f64 #s(literal 1/12 binary64) eps) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/2 binary64) eps))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))) |
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/12 binary64) eps))))) |
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal -1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (sin.f64 x)) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (sin.f64 x)) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x eps) |
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))) eps) |
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))) |
(+.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/12 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) |
(cos.f64 x) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64))) #s(literal -1/48 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) |
(cos.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x))) |
(cos.f64 x) |
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) |
(cos.f64 x) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(cos.f64 x) |
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64)) |
(cos.f64 x) |
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64)) |
(cos.f64 x) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(cos.f64 x) |
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(cos.f64 x) |
(log.f64 (exp.f64 (cos.f64 x))) |
(cos.f64 x) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x)))) |
(cos.f64 x) |
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) |
(cos.f64 x) |
(expm1.f64 (log1p.f64 (cos.f64 x))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(cos.f64 x) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(log1p.f64 (expm1.f64 (cos.f64 x))) |
(cos.f64 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) |
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(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
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(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
Compiled 17 401 to 3 375 computations (80.6% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 838 | 5 | 843 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 839 | 10 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.1% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| ▶ | 99.3% | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
| ▶ | 100.0% | (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | 100.0% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
| ▶ | 99.6% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
| ✓ | 99.8% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ▶ | 99.3% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| ✓ | 99.5% | (*.f64 eps (cos.f64 x)) |
| ✓ | 98.7% | (sin.f64 eps) |
| ▶ | 98.7% | eps |
Compiled 164 to 115 computations (29.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6272 | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
| ✓ | cost-diff | 0 | (*.f64 x eps) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) |
| cost-diff | 0 | (cos.f64 x) | |
| ✓ | cost-diff | -6272 | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)) |
| ✓ | cost-diff | -6272 | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| ✓ | cost-diff | 0 | (+.f64 eps x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) |
| ✓ | cost-diff | 128 | (+.f64 eps #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
| cost-diff | 128 | (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
| 726× | fma-define |
| 150× | distribute-lft-in |
| 100× | distribute-rgt-in |
| 93× | associate-*r* |
| 83× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 530 |
| 1 | 82 | 498 |
| 2 | 275 | 495 |
| 3 | 768 | 495 |
| 4 | 1164 | 495 |
| 5 | 1467 | 495 |
| 6 | 1490 | 495 |
| 7 | 1491 | 495 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
x |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
#s(literal 2 binary64) |
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+.f64 eps #s(literal 0 binary64)) |
#s(literal 0 binary64) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) |
x |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
#s(literal -1/2 binary64) |
(+.f64 eps x) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
eps |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
eps |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))) |
(cos.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) |
#s(literal -1/2 binary64) |
(*.f64 x eps) |
| Outputs |
|---|
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(fma.f64 #s(literal 1/2 binary64) eps x) |
x |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
#s(literal 2 binary64) |
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(+.f64 eps #s(literal 0 binary64)) |
eps |
#s(literal 0 binary64) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))))) |
(*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) |
(*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))) |
x |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) |
#s(literal -1/2 binary64) |
(+.f64 eps x) |
(+.f64 x eps) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) eps) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
eps |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
(*.f64 eps (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) (cos.f64 x))) |
(*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))) |
eps |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) (cos.f64 x)) |
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 x eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (cos.f64 x) | |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)) |
| ✓ | accuracy | 99.9% | (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) eps) |
| accuracy | 100.0% | (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
| 60.0ms | 256× | 0 | valid |
Compiled 157 to 31 computations (80.3% saved)
ival-mult: 22.0ms (60.3% of total)ival-add: 6.0ms (16.5% of total)ival-cos: 4.0ms (11% of total)ival-pow2: 2.0ms (5.5% of total)ival-sin: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))> |
#<alt (+.f64 eps #s(literal 0 binary64))> |
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))> |
#<alt (+.f64 eps x)> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))> |
#<alt (*.f64 x eps)> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))> |
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) x)> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))> |
#<alt (*.f64 #s(literal -1/2 binary64) eps)> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) eps)> |
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#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))> |
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))> |
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))> |
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))> |
#<alt (cos.f64 x)> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))> |
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))> |
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))> |
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))> |
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))> |
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (cos.f64 x)> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (cos (+ x (* 1/2 eps))) |
| 5.0ms | x | @ | 0 | (* -1/2 (* x eps)) |
| 2.0ms | x | @ | inf | (* -1/2 (* (pow x 2) eps)) |
| 1.0ms | eps | @ | 0 | (* -1/2 (* (pow x 2) eps)) |
| 1.0ms | x | @ | 0 | (* (cos (+ x (* 1/2 eps))) (* 2 (sin (* (+ eps 0) 1/2)))) |
| 1× | batch-egg-rewrite |
| 291× | associate-*r* |
| 258× | log1p-expm1-u |
| 258× | expm1-log1p-u |
| 254× | add-cube-cbrt |
| 252× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 425 |
| 1 | 585 | 397 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(+.f64 eps #s(literal 0 binary64)) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
(+.f64 eps x) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) eps) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps)) |
(*.f64 x eps) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
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(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))) |
(pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) (/.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) eps (cos.f64 x)) |
| 1× | egg-herbie |
| 462× | distribute-lft-in |
| 460× | distribute-rgt-in |
| 334× | times-frac |
| 256× | associate-/r* |
| 243× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1191 | 28137 |
| 1 | 3142 | 27649 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
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(cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
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(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) |
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
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(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps)))) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
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(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x)))) |
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(+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(-.f64 eps #s(literal 0 binary64)) |
(-.f64 eps (/.f64 #s(literal 0 binary64) eps)) |
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64)) |
(*.f64 eps #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) eps) |
(*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps)) |
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps) |
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps)) |
(pow.f64 eps #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64))) |
(log.f64 (exp.f64 eps)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps))) |
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 eps)) |
(exp.f64 (log.f64 eps)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 eps)) |
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64)) |
(+.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) eps)) |
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))) |
(pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) (/.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) eps (cos.f64 x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
(*.f64 (neg.f64 eps) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (neg.f64 eps)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
(*.f64 (neg.f64 eps) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (neg.f64 eps)) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))) |
(*.f64 (neg.f64 eps) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (neg.f64 eps)) |
(*.f64 #s(literal -1/2 binary64) x) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) #s(literal -1/2 binary64))) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) #s(literal -1/2 binary64))) |
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(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))) |
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
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(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) |
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) |
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) |
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
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(fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))) |
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))) |
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64)))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64)))) |
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64))) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 2 binary64))) |
(fabs.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) |
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) eps (cos.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) |
Compiled 14 999 to 3 050 computations (79.7% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 810 | 6 | 816 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 812 | 14 | 826 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) | |
| ✓ | 62.1% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| ▶ | 99.3% | (+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
| ▶ | 99.6% | (+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
| ▶ | 99.3% | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
| ▶ | 100.0% | (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
| ✓ | 100.0% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
| ✓ | 99.6% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
| ✓ | 99.8% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ✓ | 99.3% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| ▶ | 99.3% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | 99.5% | (*.f64 eps (cos.f64 x)) |
| ✓ | 98.7% | (sin.f64 eps) |
| ✓ | 98.7% | eps |
Compiled 234 to 156 computations (33.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps (cos.f64 x)) | |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
| cost-diff | 0 | (+.f64 eps x) | |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) |
| ✓ | cost-diff | -6272 | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) eps) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps)) |
| ✓ | cost-diff | -6272 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | -6272 | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) eps) |
| 292× | fma-define |
| 82× | associate-*r* |
| 58× | associate-*l* |
| 36× | *-commutative |
| 22× | distribute-lft-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 620 |
| 1 | 88 | 592 |
| 2 | 188 | 592 |
| 3 | 402 | 592 |
| 4 | 630 | 589 |
| 5 | 675 | 589 |
| 6 | 679 | 589 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
x |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
#s(literal 2 binary64) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) x)) |
x |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
eps |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps)) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
x |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
x |
(*.f64 eps #s(literal -1/2 binary64)) |
eps |
#s(literal -1/2 binary64) |
(+.f64 eps x) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
eps |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
x |
(*.f64 eps #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) |
(fma.f64 #s(literal 1/2 binary64) eps x) |
x |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
#s(literal 2 binary64) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
x |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
eps |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) eps) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x x) |
x |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(fma.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 x eps) eps) |
(fma.f64 x (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 x eps))) eps) |
(*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) |
(*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 x eps)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
x |
(*.f64 eps #s(literal -1/2 binary64)) |
eps |
#s(literal -1/2 binary64) |
(+.f64 eps x) |
(+.f64 x eps) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (+.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) |
(*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))) |
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 x (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps)) |
(*.f64 x (*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))) |
eps |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
x |
(*.f64 eps #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps (cos.f64 x)) |
(cos.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (cos.f64 x) | |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
| accuracy | 100.0% | (*.f64 eps (cos.f64 x)) | |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
| accuracy | 100.0% | (+.f64 eps x) | |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 eps #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) |
| ✓ | accuracy | 100.0% | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) eps) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) eps) |
| ✓ | accuracy | 100.0% | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
| accuracy | 100.0% | (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
| 53.0ms | 256× | 0 | valid |
Compiled 171 to 32 computations (81.3% saved)
ival-mult: 22.0ms (63.7% of total)ival-add: 7.0ms (20.3% of total)ival-cos: 4.0ms (11.6% of total)ival-sin: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))> |
#<alt (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))> |
#<alt (*.f64 eps #s(literal 1/2 binary64))> |
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) x))> |
#<alt (*.f64 #s(literal -1/2 binary64) x)> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))> |
#<alt (*.f64 (*.f64 x x) eps)> |
#<alt (*.f64 x x)> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps)))> |
#<alt (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x))> |
#<alt (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))> |
#<alt (*.f64 eps #s(literal -1/2 binary64))> |
#<alt (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))> |
#<alt (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))> |
#<alt (+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))> |
| Outputs |
|---|
#<alt eps> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt eps> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))> |
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))> |
#<alt eps> |
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))> |
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* eps (* x (* eps -1/2))) |
| 1.0ms | eps | @ | 0 | (* eps (+ 1 (* x (* -1/2 x)))) |
| 1.0ms | x | @ | -inf | (* (* x (* eps -1/2)) (+ eps x)) |
| 1.0ms | x | @ | inf | (* eps (* x (* eps -1/2))) |
| 1.0ms | x | @ | inf | (* (* x (* eps -1/2)) (+ eps x)) |
| 1× | batch-egg-rewrite |
| 330× | associate-*r* |
| 266× | log1p-expm1-u |
| 266× | expm1-log1p-u |
| 263× | add-cube-cbrt |
| 261× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 413 |
| 1 | 591 | 390 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps)) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 eps #s(literal -1/2 binary64)) |
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) |
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) eps) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) |
(pow.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) |
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x)))) (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))))) |
(*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))) |
(pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(fma.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (cos.f64 x))) |
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) (*.f64 eps (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps (*.f64 eps (cos.f64 x))) |
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (*.f64 eps x) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 eps (cos.f64 x))) |
| 1× | egg-herbie |
| 601× | associate-*r* |
| 541× | fmm-def |
| 495× | associate-*l* |
| 359× | fma-define |
| 336× | exp-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 796 | 22599 |
| 1 | 1822 | 21404 |
| 2 | 6193 | 21390 |
| 1× | node limit |
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))) |
(pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(fma.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (cos.f64 x))) |
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) (*.f64 eps (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps (*.f64 eps (cos.f64 x))) |
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(fma.f64 (*.f64 eps x) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 eps (cos.f64 x))) |
| Outputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64))))) |
(+.f64 eps (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/322560 binary64))) #s(literal -1/24 binary64))))) |
(+.f64 eps (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/322560 binary64) #s(literal 1/1920 binary64)) #s(literal -1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64)))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/48 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64))) #s(literal -1/48 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) |
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(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) |
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(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) |
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(*.f64 eps (cos.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) |
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(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))) |
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(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))) |
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(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (cos.f64 x) eps))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (cos.f64 x) eps))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(+.f64 eps (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) eps) |
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps) |
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) |
(+.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x)))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x)))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x)))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (neg.f64 (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x)))) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (*.f64 eps (neg.f64 (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (neg.f64 (cos.f64 x))) (neg.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x))) (neg.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 eps (cos.f64 x)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (neg.f64 (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x)))) |
(pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 3 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 2 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 2 binary64))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))) #s(literal 3 binary64))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x)))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (cos.f64 x))))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))) |
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps (*.f64 eps (cos.f64 x))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))) |
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 eps x))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 eps (cos.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x eps))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
(fma.f64 (*.f64 eps x) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) x (cos.f64 x))) |
Compiled 12 433 to 2 352 computations (81.1% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 1 | 709 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 6 | 8 |
| Total | 712 | 11 | 723 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.1% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| ✓ | 99.3% | (+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
| ✓ | 99.3% | (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
| ✓ | 100.0% | (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
| 99.8% | (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) | |
| ✓ | 100.0% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
| ✓ | 99.3% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| ✓ | 99.3% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | 99.5% | (*.f64 eps (cos.f64 x)) |
| ✓ | 98.7% | (sin.f64 eps) |
| ✓ | 98.7% | eps |
Compiled 294 to 148 computations (49.7% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
| Outputs |
|---|
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
3 calls:
| 6.0ms | eps |
| 5.0ms | x |
| 5.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
3 calls:
| 6.0ms | eps |
| 5.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x))) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) |
3 calls:
| 9.0ms | eps |
| 4.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | eps |
| 99.8% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
| Outputs |
|---|
(*.f64 eps (cos.f64 x)) |
2 calls:
| 3.0ms | eps |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(sin.f64 eps) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
2 calls:
| 3.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| Outputs |
|---|
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
2 calls:
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
| Outputs |
|---|
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
2 calls:
| 2.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
| Outputs |
|---|
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
eps |
| Outputs |
|---|
eps |
2 calls:
| 1.0ms | eps |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 20× | *-commutative |
| 8× | +-commutative |
| 3× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 334 |
| 1 | 80 | 334 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) |
(*.f64 eps (cos.f64 x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
eps |
| Outputs |
|---|
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) eps) |
(*.f64 eps (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 eps (cos.f64 x)) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(+.f64 eps (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 eps x))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) eps))) |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
eps |
| 978× | log1p-expm1-u |
| 978× | expm1-log1p-u |
| 801× | fma-define |
| 654× | distribute-lft-in |
| 511× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 425 |
| 1 | 585 | 397 |
| 0 | 1101 | 24505 |
| 1 | 2763 | 23356 |
| 2 | 6380 | 22703 |
| 0 | 542 | 10705 |
| 1 | 1224 | 10322 |
| 2 | 3585 | 9977 |
| 0 | 12 | 68 |
| 1 | 160 | 68 |
| 2 | 2460 | 68 |
| 1× | fuel |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 640 to 221 computations (65.5% saved)
Compiled 284 to 158 computations (44.4% saved)
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