Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample39.0ms (0.2%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5127	79

prune14.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 15.2b

Counts

2 → 2

Compiler

Compiled 281 to 227 computations (19.2% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.1b	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))
0.5b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
15.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite51.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`associate-l_binary64`
14×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cancel-sign-sub-inv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

12.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))
6.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
5.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))

series3.6s (16%)

Counts

4 → 12

Calls

4 calls:

2.3s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
992.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
236.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))
81.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	4796
1	4974	4796

prune704.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	4	113

Merged error: 15.2b

Counts

113 → 4

Compiler

Compiled 13715 to 10385 computations (24.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
0.6b	(/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
15.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`times-frac_binary64`
29×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`add-exp-log_binary64` `unpow-prod-down_binary64`
11×	`associate-/r*_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`pow1_binary64`
4×	`unpow2_binary64` `sqr-pow_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 106

Calls

4 calls:

7.0ms	(/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
4.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))

series3.6s (16%)

Counts

4 → 12

Calls

4 calls:

2.3s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0s	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
191.0ms	(/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
71.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	4637
1	4967	4637

prune641.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Merged error: 15.2b

Counts

122 → 4

Compiler

Compiled 10184 to 7599 computations (25.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
0.6b	(/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
15.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
17.3b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3))

rewrite53.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
27×	`unpow-prod-down_binary64`
15×	`cube-prod_binary64`
9×	`add-exp-log_binary64`
8×	`associate-/r*_binary64` `add-log-exp_binary64`
6×	`add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`pow1_binary64` `unpow2_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`associate-+r+_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cube-div_binary64` `cancel-sign-sub-inv_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 120

Calls

4 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3))
7.0ms	(/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
4.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))

series3.6s (15.8%)

Counts

4 → 12

Calls

4 calls:

2.3s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0s	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3)) (+.f64 6401478394306903/4503599627370496 (+.f64 (/.f64 -6544414927309881/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
178.0ms	(/.f64 4780145094533421/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
73.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 3))

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	5047
1	4962	5047

prune604.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Merged error: 15.2b

Counts

136 → 4

Compiler

Compiled 9918 to 7378 computations (25.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
15.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (log.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
15.2b	(log.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))

rewrite119.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
7×	`add-exp-log_binary64`
6×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `log-prod_binary64` `associate-/l*_binary64` `flip-+_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `log-div_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `log-pow_binary64` `cancel-sign-sub-inv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 74

Calls

4 calls:

38.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
31.0ms	(log.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
30.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
4.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (log.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

series7.1s (31.4%)

Counts

4 → 12

Calls

4 calls:

3.0s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (log.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
2.2s	(log.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
995.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
966.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5006	6920

prune407.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Merged error: 15.2b

Counts

90 → 4

Compiler

Compiled 6755 to 4973 computations (26.4% saved)

regimes55.0ms (0.2%)

Compiler: Compiled 702 to 554 computations (21.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	127	92
1	127	92

end0.0ms (0%)

sample1.4s (6.1%)

Algorithm

1×

intervals

Results

968.0ms

8000×

body

128

valid

Compiler

Compiled 471 to 374 computations (20.6% saved)

Details

analyze3.0ms (0%)

sample39.0ms (0.2%)

simplify67.0ms (0.3%)

prune14.0ms (0.1%)

localize23.0ms (0.1%)

rewrite51.0ms (0.2%)

series3.6s (16%)

simplify104.0ms (0.5%)

prune704.0ms (3.1%)

localize24.0ms (0.1%)

rewrite45.0ms (0.2%)

series3.6s (16%)

simplify97.0ms (0.4%)

prune641.0ms (2.8%)

localize27.0ms (0.1%)

rewrite53.0ms (0.2%)

series3.6s (15.8%)

simplify103.0ms (0.5%)

prune604.0ms (2.7%)

localize27.0ms (0.1%)

rewrite119.0ms (0.5%)

series7.1s (31.4%)

simplify112.0ms (0.5%)

prune407.0ms (1.8%)

regimes55.0ms (0.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.4s (6.1%)

Profiling