
Time bar (total: 13.0s)
| 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% | 74.7% | 0% | 0% | 0% | 3 |
| 0% | 0% | 25.3% | 74.7% | 0% | 0% | 0% | 4 |
| 0% | 0% | 19% | 81% | 0% | 0% | 0% | 5 |
| 0% | 0% | 15.8% | 84.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 11.1% | 88.9% | 0% | 0% | 0% | 7 |
| 0% | 0% | 8.7% | 91.3% | 0% | 0% | 0% | 8 |
| 0% | 0% | 5.9% | 94.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 4.5% | 95.5% | 0% | 0% | 0% | 10 |
| 0% | 0% | 3.1% | 96.9% | 0% | 0% | 0% | 11 |
| 0% | 0% | 2.7% | 97.3% | 0% | 0% | 0% | 12 |
Compiled 28 to 18 computations (35.7% saved)
ival-sin: 10.0ms (36% of total)ival-mult: 3.0ms (10.8% of total)ival-<=: 3.0ms (10.8% of total)ival-<: 3.0ms (10.8% of total)ival-add: 2.0ms (7.2% of total)ival-fabs: 2.0ms (7.2% of total)ival-sub: 2.0ms (7.2% of total)ival-and: 1.0ms (3.6% of total)const: 1.0ms (3.6% of total)backward-pass: 0.0ms (0% of total)| 3.1s | 25747× | 0 | precondition |
| 1.5s | 4398× | 1 | valid |
| 435.0ms | 3858× | 0 | valid |
ival-sin: 888.0ms (26.7% of total)ival-add: 448.0ms (13.5% of total)ival-fabs: 409.0ms (12.3% of total)ival-<=: 408.0ms (12.3% of total)ival-mult: 328.0ms (9.9% of total)ival-<: 321.0ms (9.7% of total)ival-sub: 238.0ms (7.2% of total)ival-and: 127.0ms (3.8% of total)backward-pass: 92.0ms (2.8% of total)const: 64.0ms (1.9% of total)| 1× | egg-herbie |
| 154× | fma-neg |
| 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 | 720 | 210 |
| 8 | 762 | 210 |
| 9 | 768 | 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 |
|---|---|---|---|---|---|
| 230 | 4 | (7.409724918965745e-182 5.01557038997749e-184) | 5 | (3.646789081398703e-241 8.231741892494448e-243) | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 1 | 0 | - | 0 | - | (sin.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | eps |
| 52.0ms | 296× | 1 | valid |
| 14.0ms | 216× | 0 | valid |
Compiled 51 to 20 computations (60.8% saved)
ival-sin: 12.0ms (34.3% of total)ival-sub: 9.0ms (25.7% of total)backward-pass: 8.0ms (22.9% of total)ival-add: 5.0ms (14.3% of total)const: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.6% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 8 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)) |
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (sin.f64 (+.f64 x eps)) |
| ✓ | accuracy | 60.8% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 39× | fma-define |
| 32× | fma-neg |
| 12× | sub-neg |
| 10× | distribute-rgt-in |
| 10× | unsub-neg |
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) |
| 30.0ms | 148× | 1 | valid |
| 8.0ms | 108× | 0 | valid |
Compiled 21 to 7 computations (66.7% saved)
ival-sin: 7.0ms (49.1% of total)ival-add: 3.0ms (21% of total)ival-sub: 2.0ms (14% of total)backward-pass: 2.0ms (14% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))> |
#<alt (sin.f64 (+.f64 x eps))> |
#<alt (sin.f64 x)> |
#<alt (+.f64 x eps)> |
| 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 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)))))> |
#<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))))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (- (sin (+ x eps)) (sin x)) |
| 1.0ms | x | @ | 0 | (- (sin (+ x eps)) (sin x)) |
| 1.0ms | eps | @ | 0 | (- (sin (+ x eps)) (sin x)) |
| 0.0ms | x | @ | -inf | (- (sin (+ x eps)) (sin x)) |
| 0.0ms | x | @ | 0 | (sin (+ x eps)) |
| 1× | batch-egg-rewrite |
| 978× | log1p-expm1-u |
| 978× | expm1-log1p-u |
| 461× | fma-define |
| 401× | log-prod |
| 211× | fma-neg |
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)) |
(sin.f64 x) |
(+.f64 x eps) |
| 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))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 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 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
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(*.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)))) |
(log1p.f64 (expm1.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))) |
(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 #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))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.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))) |
(log1p.f64 (expm1.f64 (+.f64 x eps))) |
(exp.f64 (log.f64 (+.f64 x eps))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64))) |
(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) |
| 1× | egg-herbie |
| 652× | distribute-lft-in |
| 511× | fma-neg |
| 481× | times-frac |
| 350× | cancel-sign-sub-inv |
| 238× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 542 | 10705 |
| 1 | 1219 | 10322 |
| 2 | 3581 | 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))) |
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))))) |
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)))) |
(+.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))) |
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(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)))) |
(log1p.f64 (expm1.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))) |
(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 #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))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.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))) |
(log1p.f64 (expm1.f64 (+.f64 x eps))) |
(exp.f64 (log.f64 (+.f64 x eps))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64))) |
(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) |
| 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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.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 eps (sin.f64 x)) #s(literal 1/24 binary64)))))))) |
(*.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))) |
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (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 x (*.f64 #s(literal -1 binary64) eps))) (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 x (*.f64 #s(literal -1 binary64) eps))) (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 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) |
(sin.f64 eps) |
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(fma.f64 x (cos.f64 eps) (sin.f64 eps)) |
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x |
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eps |
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x |
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x |
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eps |
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(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) |
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(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64)) |
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(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.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))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
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(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
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(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))) |
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(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))) |
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 x))))) (sin.f64 (-.f64 x eps))) |
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) |
(sin.f64 (+.f64 eps x)) |
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64)) |
(sin.f64 (+.f64 eps x)) |
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(sin.f64 (+.f64 eps x)) |
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) |
(sin.f64 (+.f64 eps x)) |
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) |
(sin.f64 (+.f64 eps x)) |
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) |
(sin.f64 (+.f64 eps x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))) |
(sin.f64 (+.f64 eps x)) |
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) |
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64))) |
(sin.f64 (+.f64 eps x)) |
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) |
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) |
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) |
(sin.f64 (+.f64 eps x)) |
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps)))) |
(sin.f64 (+.f64 eps x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64))) |
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(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) |
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) |
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) |
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(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))) |
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(sin.f64 x) |
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(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps))) |
(+.f64 eps x) |
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps))) |
(+.f64 eps x) |
(*.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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.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 #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 (+.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 #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 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 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))) |
(log1p.f64 (expm1.f64 (+.f64 x eps))) |
(+.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) |
(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) |
Compiled 5246 to 994 computations (81.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 309 | 7 | 316 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 309 | 8 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.6% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| ▶ | 60.6% | (*.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)) |
| 99.9% | (*.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))))) | |
| ▶ | 99.9% | (*.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))))))))) |
| 99.8% | (*.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))))))) | |
| ▶ | 99.4% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ▶ | 98.6% | (*.f64 eps (cos.f64 x)) |
| ▶ | 96.4% | (sin.f64 eps) |
Compiled 227 to 152 computations (33% saved)
| 1× | egg-herbie |
Found 30 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 eps x) |
| ✓ | cost-diff | 256 | (+.f64 x (-.f64 eps x)) |
| ✓ | cost-diff | 256 | (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 256 | (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #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) (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) |
| ✓ | accuracy | 100.0% | (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.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)))) |
| ✓ | accuracy | 99.9% | (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 60.7% | (+.f64 x (-.f64 eps x)) |
| ✓ | accuracy | 100.0% | (+.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 (+.f64 (cos.f64 x) (*.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 | 99.9% | (+.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)))))) |
| ✓ | accuracy | 99.8% | (*.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))))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) |
| ✓ | accuracy | 99.5% | (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
| 816× | fma-define |
| 783× | distribute-lft-neg-out |
| 477× | unsub-neg |
| 410× | sub-neg |
| 343× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 989 |
| 1 | 98 | 953 |
| 2 | 267 | 905 |
| 3 | 578 | 841 |
| 4 | 1086 | 841 |
| 5 | 3044 | 841 |
| 6 | 5224 | 841 |
| 1× | node limit |
| Inputs |
|---|
(*.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))))))))) |
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)))))))) |
(cos.f64 x) |
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 (*.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 #s(literal -1/2 binary64) (sin.f64 x)) |
#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 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) |
#s(literal 1/24 binary64) |
(*.f64 eps (sin.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 (*.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 (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)))) |
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) |
(+.f64 x (-.f64 eps x)) |
x |
(-.f64 eps x) |
eps |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 eps (+.f64 x x)) |
(+.f64 x x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.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 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (cos.f64 x))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x))) |
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 (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 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (cos.f64 x)) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x)) |
(cos.f64 x) |
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 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(+.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)))))) |
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) |
(fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#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 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(*.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) |
(fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 eps (sin.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 (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))) |
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))) |
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))) |
eps |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)) |
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)) |
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) |
(*.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 (*.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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 (-.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) |
(*.f64 (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 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(*.f64 (sin.f64 (*.f64 (-.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.f64 (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) |
(sin.f64 (*.f64 (-.f64 eps (-.f64 x x)) #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 x (-.f64 eps x)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 eps (-.f64 x x)) #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 x (-.f64 eps x)) |
eps |
x |
(-.f64 eps x) |
eps |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 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) |
(+.f64 eps (+.f64 x x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 x #s(literal 2 binary64) eps) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| 138.0ms | 226× | 0 | valid |
| 22.0ms | 28× | 1 | valid |
| 6.0ms | 2× | 5 | exit |
Compiled 274 to 35 computations (87.2% saved)
ival-mult: 33.0ms (52% of total)ival-add: 12.0ms (18.9% of total)ival-sin: 7.0ms (11% of total)ival-cos: 6.0ms (9.5% of total)backward-pass: 3.0ms (4.7% of total)const: 1.0ms (1.6% of total)ival-sub: 1.0ms (1.6% of total)| Inputs |
|---|
#<alt (*.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 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))> |
#<alt (*.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 (*.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 (sin.f64 eps)> |
#<alt (*.f64 eps (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 eps (sin.f64 x))> |
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))> |
#<alt (*.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 (+.f64 x (-.f64 eps x))> |
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))> |
#<alt (*.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))))> |
#<alt (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))> |
#<alt (*.f64 #s(literal -1/6 binary64) (cos.f64 x))> |
#<alt (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))> |
#<alt (-.f64 eps x)> |
| Outputs |
|---|
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))> |
#<alt (*.f64 #s(literal 1/24 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 -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 #s(literal 1/24 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 -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 #s(literal -1/6 binary64) eps)> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) eps))))))> |
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 eps x))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps)))))))> |
#<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 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))> |
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))> |
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))> |
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))> |
#<alt (*.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 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))> |
#<alt (*.f64 #s(literal -1/6 binary64) eps)> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))> |
#<alt (*.f64 #s(literal 1/24 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 -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))> |
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))> |
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))> |
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#<alt eps> |
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#<alt #s(literal 1 binary64)> |
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#<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))))> |
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#<alt (*.f64 eps x)> |
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#<alt (*.f64 eps (cos.f64 x))> |
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#<alt 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))))))> |
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#<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)))> |
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#<alt eps> |
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#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
#<alt eps> |
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#<alt eps> |
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#<alt eps> |
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#<alt eps> |
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#<alt eps> |
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#<alt (cos.f64 x)> |
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))> |
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#<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))))> |
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#<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) eps))> |
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#<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))))> |
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#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
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#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 (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)))> |
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#<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 #s(literal -1/6 binary64)> |
#<alt (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))> |
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))> |
#<alt (-.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 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))> |
#<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) 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 binary64) x)> |
#<alt eps> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))> |
#<alt eps> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) #s(literal 1 binary64))))> |
#<alt eps> |
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) x))> |
#<alt (+.f64 eps (*.f64 #s(literal -1 binary64) x))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64)))> |
#<alt (*.f64 x (-.f64 (/.f64 eps x) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) |
| 7.0ms | x | @ | 0 | (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) |
| 2.0ms | x | @ | -inf | (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) |
| 1.0ms | eps | @ | 0 | (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) |
| 1.0ms | x | @ | inf | (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) |
| 1× | batch-egg-rewrite |
| 303× | log1p-expm1-u |
| 303× | expm1-log1p-u |
| 299× | add-cube-cbrt |
| 296× | add-exp-log |
| 296× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 575 |
| 1 | 624 | 559 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.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 (*.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)))))) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(cos.f64 x) |
(*.f64 eps (sin.f64 x)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.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)))) |
(+.f64 x (-.f64 eps x)) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 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)))) |
(sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
(*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)) |
(-.f64 eps x) |
| Outputs |
|---|
(+.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) (*.f64 (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps))) |
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 1 binary64))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) eps)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps) #s(literal 1/24 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))) (*.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps)) (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))) (-.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps)) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))) (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))) |
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) |
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(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (-.f64 eps x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps x))) |
(*.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x)))) |
(/.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 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 eps x))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 eps (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 eps (neg.f64 x))) |
(pow.f64 (-.f64 eps x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 eps x)))) |
(cbrt.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 eps x))) |
(log1p.f64 (expm1.f64 (-.f64 eps x))) |
(exp.f64 (log.f64 (-.f64 eps x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) eps (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 x)) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 x)) |
| 1× | egg-herbie |
| 842× | fma-neg |
| 340× | distribute-rgt-in |
| 336× | distribute-lft-in |
| 282× | +-commutative |
| 272× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1238 | 26832 |
| 1 | 3269 | 25780 |
| 2 | 7602 | 25780 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 #s(literal -1/6 binary64) eps) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) eps)))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps x)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps))))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 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 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
(*.f64 #s(literal -1/6 binary64) eps) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 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)))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
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)))))) |
#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 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 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))))))) |
(*.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)))))))))) |
#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))))) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
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#s(literal -1/6 binary64) |
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eps |
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eps |
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(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/2 binary64)) eps)) |
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(*.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(pow.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #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 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) #s(literal -1/2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (cos.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 x eps) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 eps (neg.f64 x)) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (fma.f64 #s(literal 1 binary64) eps (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) eps (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (-.f64 eps x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps x))) |
(*.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x)))) |
(/.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 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 eps x))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 eps (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 eps (neg.f64 x))) |
(pow.f64 (-.f64 eps x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 eps x)))) |
(cbrt.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 eps x))) |
(log1p.f64 (expm1.f64 (-.f64 eps x))) |
(exp.f64 (log.f64 (-.f64 eps x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) eps (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 x)) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 x)) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 #s(literal -1/6 binary64) eps) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/12 binary64)) x)))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) eps)))))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/144 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64))))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps x)) |
(*.f64 (*.f64 eps #s(literal 1/24 binary64)) x) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))) |
(*.f64 x (fma.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 binary64)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/2880 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2880 binary64)))))) |
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 eps #s(literal 1/2880 binary64)) (pow.f64 x #s(literal 2 binary64))))))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2880 binary64) eps))))))) |
(*.f64 x (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2880 binary64)))))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 (sin.f64 x) #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 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))) |
(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 #s(literal 1/6 binary64) eps))) (neg.f64 (pow.f64 eps #s(literal 3 binary64)))) |
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(neg.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal -1/24 binary64))))) |
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(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) |
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(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
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(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
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(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64)))))))))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps x) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64))))))))) |
(*.f64 #s(literal -1/6 binary64) eps) |
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(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
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(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (+.f64 (*.f64 (*.f64 eps #s(literal 1/12 binary64)) x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
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(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (+.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64))))))) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/144 binary64))))) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal -1/2 binary64)) |
(+.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 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1/2 binary64) eps))) eps))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1/2 binary64) eps))) eps))) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 (*.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 (+.f64 #s(literal 1 binary64) (*.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))))) |
(*.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))))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 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)) (fma.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 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 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 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 (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 #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)))) |
(+.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)))) |
(*.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)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 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 x (+.f64 eps (*.f64 (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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/120 binary64)))))))) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) #s(literal -1/2 binary64)) |
(*.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))) |
(*.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))) |
(*.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))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) #s(literal -1/2 binary64)) |
(*.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))) |
(*.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))) |
(*.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))) |
eps |
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))) |
(+.f64 eps (*.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(+.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)))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
(+.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 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/12 binary64))))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 (*.f64 eps x) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) 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 (fma.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 eps #s(literal 1/12 binary64)) (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 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64)))))) |
(*.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 x (fma.f64 #s(literal -1/2 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 -1/240 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/10080 binary64)))))))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #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 binary64) (*.f64 x (*.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 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 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 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))))) |
(cos.f64 x) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.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 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.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 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) (neg.f64 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 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) (neg.f64 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 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) (neg.f64 eps)) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(cos.f64 x) |
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.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 (*.f64 eps (cos.f64 x)) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) |
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 #s(literal -1/8 binary64) eps) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) |
(+.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 (sin.f64 x) #s(literal -1/2 binary64))))) |
(+.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 (sin.f64 x) #s(literal -1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.f64 #s(literal 1/2 binary64) eps)) |
(cos.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(+.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 eps #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(-.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(+.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 eps #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) |
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))) |
(+.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))))) |
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) |
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(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 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) |
(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))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 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 (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)))) |
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(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64))))) |
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 x eps) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))))) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 0 binary64)))) |
(+.f64 eps (neg.f64 x)) |
(-.f64 eps x) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(+.f64 (fma.f64 #s(literal 1 binary64) eps (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(+.f64 (fma.f64 #s(literal 1 binary64) eps (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (*.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(+.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) |
(+.f64 (-.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 eps (*.f64 x #s(literal 2 binary64))) x) |
(*.f64 #s(literal 1 binary64) (-.f64 eps x)) |
(-.f64 eps x) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps x))) |
(-.f64 eps x) |
(*.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x))) |
(-.f64 eps x) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (+.f64 eps x)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (+.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 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 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (+.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 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (+.f64 eps x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 eps x))) |
(*.f64 #s(literal 1 binary64) (/.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 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 eps (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (fma.f64 x x (*.f64 eps x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (+.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 eps (neg.f64 x))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps x)) |
(pow.f64 (-.f64 eps x) #s(literal 1 binary64)) |
(-.f64 eps x) |
(pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 3 binary64)) |
(-.f64 eps x) |
(pow.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(-.f64 eps x) |
(pow.f64 (sqrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) |
(-.f64 eps x) |
(sqrt.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 eps x)) |
(log.f64 (exp.f64 (-.f64 eps x))) |
(-.f64 eps x) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 eps x)))) |
(-.f64 eps x) |
(cbrt.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) |
(-.f64 eps x) |
(expm1.f64 (log1p.f64 (-.f64 eps x))) |
(log1p.f64 (expm1.f64 (-.f64 eps x))) |
(-.f64 eps x) |
(exp.f64 (log.f64 (-.f64 eps x))) |
(-.f64 eps x) |
(exp.f64 (*.f64 (log.f64 (-.f64 eps x)) #s(literal 1 binary64))) |
(-.f64 eps x) |
(fma.f64 #s(literal 1 binary64) eps (neg.f64 x)) |
(-.f64 eps x) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (neg.f64 x)) |
(-.f64 eps x) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 x)) |
(-.f64 eps x) |
Compiled 22810 to 4705 computations (79.4% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 918 | 9 | 927 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 922 | 13 | 935 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.6% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 97.7% | (+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) | |
| ▶ | 99.4% | (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ▶ | 99.9% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| 98.7% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) | |
| ✓ | 99.9% | (*.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))))))))) |
| 99.8% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) | |
| ✓ | 99.4% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| 96.4% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) | |
| ▶ | 97.7% | (*.f64 eps (+.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))))))) |
| ▶ | 97.7% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
| ✓ | 98.6% | (*.f64 eps (cos.f64 x)) |
| ▶ | 96.4% | eps |
Compiled 307 to 208 computations (32.2% saved)
| 1× | egg-herbie |
Found 32 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6144 | (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | -5888 | (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal 1/2 binary64)) |
| ✓ | cost-diff | -6272 | (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 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 | -6144 | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
| accuracy | 99.9% | (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) | |
| ✓ | accuracy | 100.0% | (+.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)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (*.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))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.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 eps #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
| accuracy | 99.9% | (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
| 649× | fma-neg |
| 509× | distribute-lft-in |
| 483× | distribute-rgt-in |
| 417× | fma-define |
| 339× | unsub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 884 |
| 1 | 98 | 828 |
| 2 | 260 | 816 |
| 3 | 675 | 768 |
| 4 | 2030 | 768 |
| 5 | 3667 | 768 |
| 6 | 4034 | 768 |
| 7 | 4600 | 768 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 eps (+.f64 x x)) |
(+.f64 x x) |
x |
#s(literal 2 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 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))))))) |
eps |
(+.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)))))) |
#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))))) |
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 -1/2 binary64) eps) |
#s(literal -1/2 binary64) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) |
#s(literal 1/12 binary64) |
(*.f64 eps x) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 eps (+.f64 x x)) |
(+.f64 x x) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(*.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 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 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) |
(+.f64 eps (+.f64 x x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 x #s(literal 2 binary64) eps) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
eps |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))) |
eps |
(+.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 eps x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) |
(*.f64 (+.f64 eps x) (*.f64 x #s(literal -1/2 binary64))) |
x |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
#s(literal -1/2 binary64) |
(+.f64 eps x) |
(*.f64 eps (+.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 eps (+.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 eps x) #s(literal -1/2 binary64))))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
eps |
(+.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 eps x) #s(literal -1/2 binary64)))))) |
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
#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 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))) |
(*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))) |
(*.f64 x (fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) |
(*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) |
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)))) |
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))) |
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))) |
(fma.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) |
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) eps) |
(*.f64 eps #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))) |
(*.f64 x (fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) |
(*.f64 eps (*.f64 x #s(literal 1/12 binary64))) |
#s(literal 1/12 binary64) |
(*.f64 eps x) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 eps #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 2 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) |
(*.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))) |
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(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 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 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) |
(+.f64 eps (+.f64 x x)) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 x #s(literal 2 binary64) eps) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
| 104.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 258 to 32 computations (87.6% saved)
ival-mult: 36.0ms (64.9% of total)ival-add: 10.0ms (18% of total)ival-sin: 5.0ms (9% of total)ival-cos: 2.0ms (3.6% of total)const: 1.0ms (1.8% of total)ival-sub: 1.0ms (1.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #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) (+.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 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))> |
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))> |
#<alt (*.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 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (+.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 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))> |
#<alt (+.f64 x x)> |
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))> |
#<alt (+.f64 eps x)> |
#<alt (*.f64 #s(literal -1/2 binary64) eps)> |
#<alt (*.f64 eps x)> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.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 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))> |
#<alt (*.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 (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 (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 (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 (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 (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 (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 (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))> |
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 (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 (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 (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 (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 (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 (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 (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 (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 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)))))> |
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#<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 (*.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 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 eps> |
#<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))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | eps | @ | 0 | (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) |
| 4.0ms | x | @ | -inf | (* (* (sin (* eps 1/2)) (cos (* (+ eps (+ x x)) 1/2))) 2) |
| 1.0ms | eps | @ | inf | (* (* eps 1/2) (cos (* (+ eps (+ x x)) 1/2))) |
| 1.0ms | eps | @ | -inf | (* (* eps 1/2) (cos (* (+ eps (+ x x)) 1/2))) |
| 1.0ms | x | @ | -inf | (* (* eps 1/2) (cos (* (+ eps (+ x x)) 1/2))) |
| 1× | batch-egg-rewrite |
| 322× | associate-*r* |
| 272× | log1p-expm1-u |
| 272× | expm1-log1p-u |
| 269× | add-cube-cbrt |
| 267× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 530 |
| 1 | 586 | 503 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #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) (+.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 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) |
(*.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 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))) |
(+.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 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+.f64 x x) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(+.f64 eps x) |
(*.f64 #s(literal -1/2 binary64) eps) |
(*.f64 eps x) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))))) |
(/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal -2 binary64)) |
(pow.f64 (*.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)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.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)))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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))))))) |
(cbrt.f64 (pow.f64 (*.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)))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.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)))))) |
(log1p.f64 (expm1.f64 (*.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)))))) |
(exp.f64 (log.f64 (*.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)))))) |
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.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 (pow.f64 (cbrt.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))))) |
(log1p.f64 (expm1.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))) |
(-.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 #s(literal -1/2 binary64)) eps)) |
(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)))) |
(log1p.f64 (expm1.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))) |
(+.f64 (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) |
(+.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) |
(+.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(-.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64))) |
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x))) |
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps)) |
(+.f64 eps (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) #s(literal 1 binary64))) |
(+.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) eps) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps)) (*.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))))) |
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(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (*.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x)))) |
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 eps x))) |
(log1p.f64 (expm1.f64 (*.f64 eps x))) |
(exp.f64 (log.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 289× | *-commutative |
| 141× | +-commutative |
| 100× | fma-define |
| 84× | associate-*r* |
| 74× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1163 | 28106 |
| 1 | 3133 | 28106 |
| 1× | unsound |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))) |
(*.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 (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 (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 (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 (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 (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 (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 (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))) (*.f64 (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) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.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 (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 (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 (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 (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 (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 (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 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) (*.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))))) |
(*.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 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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 eps (+.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 eps (+.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 (pow.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.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 (pow.f64 eps #s(literal 2 binary64)) (+.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 (pow.f64 eps #s(literal 2 binary64)) (+.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 (pow.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.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 (pow.f64 eps #s(literal 2 binary64)) (+.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 (pow.f64 eps #s(literal 2 binary64)) (+.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)))) |
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) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #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 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.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 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) eps))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.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))) |
(*.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 (+.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)))) |
(*.f64 #s(literal -1/2 binary64) x) |
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)) |
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x |
eps |
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eps |
x |
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x |
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(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (*.f64 eps x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x)))) |
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 eps x))) |
(log1p.f64 (expm1.f64 (*.f64 eps x))) |
(exp.f64 (log.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))) |
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))) |
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 eps))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 -1 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #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 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))) (*.f64 (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) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) |
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) 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)) (-.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 (+.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))))) |
(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) (*.f64 eps x)) |
(*.f64 eps (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (*.f64 x #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 (*.f64 x #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 (*.f64 x #s(literal -1/2 binary64)) (+.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 x #s(literal -1/2 binary64)) (+.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 x #s(literal -1/2 binary64)) (+.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 x #s(literal -1/2 binary64)) (+.f64 eps x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) |
(*.f64 eps (*.f64 x #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 eps (*.f64 x #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 #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 #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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))) |
(*.f64 eps (+.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 eps (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 0 binary64))) |
(*.f64 eps (+.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 eps (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 0 binary64))) |
(*.f64 eps (+.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 eps (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 0 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) |
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eps |
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#s(literal 1 binary64) |
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x |
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps x))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (+.f64 eps x))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps x)) (/.f64 (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 #s(literal 1 binary64) (+.f64 eps x)) |
(+.f64 eps x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x))) |
(+.f64 eps x) |
(*.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x))) |
(+.f64 eps x) |
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 eps x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 eps x))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))) |
(/.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 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.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 eps (*.f64 x (-.f64 x eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 eps x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 eps #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 eps x) #s(literal 1 binary64)) |
(+.f64 eps x) |
(pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 3 binary64)) |
(+.f64 eps x) |
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(+.f64 eps x) |
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) |
(+.f64 eps x) |
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 eps x))) |
(+.f64 eps x) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps x)))) |
(+.f64 eps x) |
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) |
(+.f64 eps x) |
(expm1.f64 (log1p.f64 (+.f64 eps x))) |
(log1p.f64 (expm1.f64 (+.f64 eps x))) |
(+.f64 eps x) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 eps x) |
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 eps x) |
(fma.f64 #s(literal 1 binary64) eps x) |
(fma.f64 #s(literal 0 binary64) eps x) |
(fma.f64 #s(literal 1 binary64) x eps) |
(fma.f64 #s(literal 0 binary64) x eps) |
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 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 #s(literal -1/2 binary64)) eps)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) |
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) eps) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 eps x))) |
(pow.f64 (*.f64 eps x) #s(literal 1 binary64)) |
(*.f64 eps x) |
(pow.f64 (cbrt.f64 (*.f64 eps x)) #s(literal 3 binary64)) |
(*.f64 eps x) |
(pow.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 eps x) |
(pow.f64 (sqrt.f64 (*.f64 eps x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (*.f64 eps x))) |
(*.f64 eps x) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps x)))) |
(*.f64 eps x) |
(cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) |
(*.f64 eps x) |
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 eps x) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 eps x) |
(expm1.f64 (log1p.f64 (*.f64 eps x))) |
(log1p.f64 (expm1.f64 (*.f64 eps x))) |
(*.f64 eps x) |
(exp.f64 (log.f64 (*.f64 eps x))) |
(*.f64 eps x) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps x)) #s(literal 1 binary64))) |
(*.f64 eps x) |
Compiled 16777 to 3641 computations (78.3% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 853 | 9 | 862 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 860 | 15 | 875 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 3 binary64)) | |
| ✓ | 60.6% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 97.7% | (+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) | |
| ▶ | 99.8% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) #s(literal 2 binary64)) |
| ✓ | 99.9% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| 91.0% | (*.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 99.8% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) |
| ✓ | 99.4% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ▶ | 97.6% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
| ▶ | 97.6% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
| 5.8% | (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) | |
| 99.4% | (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) | |
| ✓ | 98.6% | (*.f64 eps (cos.f64 x)) |
| ▶ | 5.4% | (*.f64 eps #s(literal 0 binary64)) |
| ✓ | 96.4% | eps |
Compiled 348 to 245 computations (29.6% saved)
| 1× | egg-herbie |
Found 34 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 #s(literal -1/6 binary64) (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) | |
| ✓ | cost-diff | -6272 | (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
| ✓ | cost-diff | -6272 | (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) |
| cost-diff | 0 | (*.f64 eps #s(literal 1/2 binary64)) | |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | -6272 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | -6272 | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 eps #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (*.f64 eps #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) | |
| accuracy | 100.0% | (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) | |
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))) |
| ✓ | accuracy | 99.5% | (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) |
| accuracy | 100.0% | (*.f64 eps #s(literal 1/2 binary64)) | |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 eps #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (+.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))))) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) |
| accuracy | 100.0% | (*.f64 eps (cos.f64 x)) | |
| ✓ | accuracy | 99.8% | (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) |
| 807× | unsub-neg |
| 534× | fma-define |
| 494× | neg-mul-1 |
| 392× | distribute-lft-in |
| 355× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 992 |
| 1 | 119 | 936 |
| 2 | 313 | 936 |
| 3 | 868 | 936 |
| 4 | 2137 | 936 |
| 5 | 3173 | 936 |
| 6 | 5126 | 936 |
| 7 | 7356 | 936 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
#s(literal 1/2 binary64) |
(+.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))))) |
(cos.f64 x) |
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 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) |
#s(literal -1/8 binary64) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 x)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(*.f64 eps #s(literal 0 binary64)) |
eps |
#s(literal 0 binary64) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) |
x |
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps #s(literal 1/2 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 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) |
eps |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))) |
(cos.f64 x) |
x |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
(sin.f64 x) |
(*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
eps |
#s(literal 1/2 binary64) |
(+.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 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) |
(fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) |
(cos.f64 x) |
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 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64))) |
#s(literal -1/8 binary64) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 x)) |
(sin.f64 x) |
#s(literal 2 binary64) |
(*.f64 eps #s(literal 0 binary64)) |
#s(literal 0 binary64) |
eps |
#s(literal 0 binary64) |
(*.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))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
eps |
(+.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)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 eps (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
eps |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 x (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
x |
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 eps #s(literal 1/2 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 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) |
(*.f64 eps (+.f64 (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 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))) |
eps |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))) |
(+.f64 (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)))))) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) |
(cos.f64 x) |
x |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (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 (sin.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (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 (sin.f64 x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sin.f64 x) |
(*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) |
(*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
| 92.0ms | 254× | 0 | valid |
| 7.0ms | 2× | 5 | exit |
Compiled 281 to 38 computations (86.5% saved)
ival-mult: 33.0ms (60.3% of total)ival-add: 7.0ms (12.8% of total)ival-cos: 6.0ms (11% of total)ival-sin: 5.0ms (9.1% of total)const: 1.0ms (1.8% of total)ival-sub: 1.0ms (1.8% of total)backward-pass: 1.0ms (1.8% of total)| Inputs |
|---|
#<alt (*.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 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))> |
#<alt (*.f64 eps #s(literal 0 binary64))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
#<alt (*.f64 x (*.f64 x #s(literal -1/2 binary64)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))> |
#<alt (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))> |
#<alt (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))> |
#<alt (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<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 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))> |
#<alt (*.f64 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x))))> |
#<alt (*.f64 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x))))> |
#<alt (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))> |
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#<alt #s(literal 0 binary64)> |
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#<alt eps> |
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#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))> |
#<alt (*.f64 eps (+.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 eps (cos.f64 x)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))> |
#<alt (*.f64 #s(literal -1/8 binary64) eps)> |
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) eps) (*.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) eps))))> |
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) eps) (*.f64 #s(literal 1/5760 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))> |
#<alt (*.f64 #s(literal 1/2 binary64) eps)> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (*.f64 #s(literal -1/2 binary64) x)> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))> |
#<alt (*.f64 #s(literal -1/2 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))> |
#<alt (*.f64 #s(literal -1/2 binary64) x)> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) 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 #s(literal -1/2 binary64) (/.f64 x eps))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x eps))))> |
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.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 1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) |
| 1.0ms | x | @ | inf | (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) |
| 1.0ms | x | @ | -inf | (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) |
| 1.0ms | eps | @ | 0 | (* eps (+ 1 (* x (* x -1/2)))) |
| 1.0ms | eps | @ | -inf | (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) |
| 1× | batch-egg-rewrite |
| 302× | log1p-expm1-u |
| 302× | expm1-log1p-u |
| 296× | add-cube-cbrt |
| 294× | add-exp-log |
| 293× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 550 |
| 1 | 661 | 505 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) |
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) eps)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))) |
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))) (-.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (neg.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (neg.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (neg.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) |
(pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(exp.f64 (log.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 (*.f64 eps #s(literal -1/6 binary64)) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) #s(literal -1/8 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(exp.f64 (log.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 769× | fma-define |
| 738× | fma-neg |
| 456× | *-commutative |
| 283× | distribute-rgt-in |
| 271× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1119 | 31898 |
| 1 | 3158 | 30652 |
| 2 | 7905 | 30602 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))) |
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))))) |
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(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
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(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
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(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
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(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.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 #s(literal 1 binary64) (*.f64 #s(literal -1/8 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 -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 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 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))))))) |
(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 -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 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 -1/8 binary64) (*.f64 eps (cos.f64 x)))))) |
(*.f64 #s(literal -1/8 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 -1/8 binary64) (cos.f64 x)))) |
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(*.f64 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x)))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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(*.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))))) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
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(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
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(*.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))) |
#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 x)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))) |
(*.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) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.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))))) |
(*.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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(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))) |
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eps |
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#s(literal 1 binary64) |
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(*.f64 #s(literal -1/6 binary64) eps) |
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(*.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)))) |
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(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) |
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(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) |
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(*.f64 #s(literal -1/6 binary64) eps) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))) |
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(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
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(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))) |
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(*.f64 #s(literal -1/8 binary64) eps) |
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(*.f64 #s(literal 1/2 binary64) eps) |
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(*.f64 #s(literal -1/2 binary64) x) |
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(*.f64 #s(literal -1/2 binary64) x) |
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(*.f64 #s(literal -1/2 binary64) x) |
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(fma.f64 (*.f64 eps #s(literal -1/6 binary64)) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) #s(literal -1/8 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(exp.f64 (log.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal -1/8 binary64) (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 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal -1/8 binary64) (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 #s(literal -1/8 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 -1/8 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 -1/8 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 -1/8 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 -1/8 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 -1/8 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
(fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/16 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))))) |
(fma.f64 x (fma.f64 #s(literal 1/16 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))))))) |
(fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal 1/12 binary64)) x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 x) (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/4 binary64))))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))) |
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64)) (*.f64 (sin.f64 x) #s(literal -1/4 binary64))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/96 binary64) (*.f64 eps (sin.f64 x)))))))))) |
(*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal -1/12 binary64)) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/96 binary64)))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/12 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/96 binary64)))) (*.f64 (sin.f64 x) #s(literal -1/4 binary64))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) eps)) (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) |
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) eps) (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))) |
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 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 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1/8 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)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (cos.f64 x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 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 -1/8 binary64) (*.f64 eps (cos.f64 x)))))) |
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64)))) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)))))) |
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(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64)))) (cos.f64 x)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
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(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) |
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) eps))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
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(*.f64 eps (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
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(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
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(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
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(*.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 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
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(*.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)) (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)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) |
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(*.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)) (+.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)) (+.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 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
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(*.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))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) x)) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal 1/2 binary64))) |
Compiled 24090 to 4906 computations (79.6% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1030 | 2 | 1032 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1031 | 16 | 1047 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 3 binary64)) | |
| ✓ | 60.6% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 97.7% | (+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) | |
| ✓ | 99.8% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) #s(literal 2 binary64)) |
| ✓ | 99.9% | (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
| 91.0% | (*.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) | |
| 98.5% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))) | |
| ✓ | 99.8% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) |
| ✓ | 99.4% | (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) |
| ✓ | 97.6% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
| ✓ | 97.6% | (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
| 5.8% | (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) | |
| 99.4% | (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) | |
| ✓ | 98.6% | (*.f64 eps (cos.f64 x)) |
| ✓ | 96.4% | eps |
| 5.4% | #s(literal 0 binary64) |
Compiled 571 to 290 computations (49.2% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (+.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))))))) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))) |
(-.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))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 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 (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))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) |
(*.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) #s(literal 2 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 -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.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))))))))) |
3 calls:
| 8.0ms | eps |
| 8.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | eps |
| 99.9% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (+.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))))))) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))) |
(-.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))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 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 (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))))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))) |
(*.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (+.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)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
3 calls:
| 11.0ms | eps |
| 7.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | eps |
| 99.9% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (+.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))))))) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))) |
(-.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))))) |
| Outputs |
|---|
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
3 calls:
| 6.0ms | x |
| 6.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 5.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | eps |
| 99.4% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (+.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))))))) |
(sin.f64 eps) |
(*.f64 eps (cos.f64 x)) |
| Outputs |
|---|
(*.f64 eps (cos.f64 x)) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)) eps) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64)))))) |
(*.f64 eps (+.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))))))) |
(sin.f64 eps) |
| Outputs |
|---|
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))))) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | eps |
| 97.7% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
(*.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:
| 3.0ms | eps |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
2 calls:
| 2.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
eps |
(*.f64 eps #s(literal 0 binary64)) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) |
| Outputs |
|---|
eps |
2 calls:
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 2.0ms | x |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | x |
| 5.4% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 27× | *-commutative |
| 12× | +-commutative |
| 4× | sub-neg |
| 3× | 1-exp |
| 3× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 341 |
| 1 | 96 | 341 |
| 2 | 107 | 341 |
| 3 | 113 | 341 |
| 4 | 117 | 341 |
| 5 | 118 | 341 |
| 1× | saturated |
| Inputs |
|---|
(*.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 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 eps (cos.f64 x)) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.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 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
eps |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 x x))))) #s(literal 2 binary64)) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 eps (cos.f64 x)) |
(+.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.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 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
eps |
#s(literal 0 binary64) |
| 978× | log1p-expm1-u |
| 978× | expm1-log1p-u |
| 842× | fma-neg |
| 461× | fma-define |
| 401× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1163 | 28106 |
| 1 | 3133 | 28106 |
| 0 | 1238 | 26832 |
| 1 | 3269 | 25780 |
| 2 | 7602 | 25780 |
| 0 | 12 | 68 |
| 1 | 160 | 68 |
| 2 | 2460 | 68 |
| 1× | fuel |
| 1× | node limit |
| 1× | node limit |
| 1× | unsound |
Compiled 432 to 177 computations (59% saved)
Compiled 226 to 128 computations (43.4% saved)
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