Details

analyze147.0ms (0.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5204	79
0	1	1
1	1	1

Search

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

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample45.0ms (0%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify61.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5204	79

prune9.0ms (0%)

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

Error

14.3b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.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 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))))))))
14.3b	(-.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))))))

rewrite534.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

14.3b

Rules

20×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
18×	`times-frac_binary64_3494`
12×	`add-exp-log_binary64_3526`
8×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
6×	`pow1_binary64_3549` `associate-/l_binary64_3433` `associate-/r_binary64_3432`
4×	`div-exp_binary64_3539` `associate-/r/_binary64_3434`
3×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
2×	`associate-+r+_binary64_3420` `inv-pow_binary64_3573` `pow-flip_binary64_3562` `1-exp_binary64_3532` `rec-exp_binary64_3538` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `cancel-sign-sub-inv_binary64_3454` `sum-log_binary64_3579` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `+-commutative_binary64_3418`

Counts

4 → 91

Calls

4 calls:

6.0ms	(+.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))))))))
6.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
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 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))))))

Compiler

Compiled 7584 to 5692 computations (24.9% saved)

series1.7s (1.1%)

Error

14.3b

Counts

4 → 12

Calls

4 calls:

994.0ms	(-.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))))))
506.0ms	(+.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))))))))
63.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
63.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2625 to 2081 computations (20.7% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4924	4010
1	4924	4010

prune447.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Error

14.3b

Counts

105 → 6

Compiler

Compiled 8097 to 6018 computations (25.7% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
14.3b	(-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (exp.f64 (.f64 x x))))
14.3b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (exp.f64 (.f64 x x))))))

rewrite1.8s (1.2%)

Algorithm

1×	rewrite-expression-head

Error

14.3b

Rules

204×	`times-frac_binary64_3494`
157×	`*-un-lft-identity_binary64_3488`
131×	`add-sqr-sqrt_binary64_3510`
116×	`cancel-sign-sub-inv_binary64_3454`
101×	`add-cube-cbrt_binary64_3523`
62×	`log-prod_binary64_3574`
59×	`exp-sum_binary64_3534`
23×	`distribute-lft-out_binary64_3439`
14×	`associate-/r/_binary64_3434`
12×	`difference-of-squares_binary64_3457`
11×	`log-pow_binary64_3577`
10×	`exp-prod_binary64_3540`
9×	`div-inv_binary64_3485` `flip3-+_binary64_3491` `flip-+_binary64_3462`
8×	`add-log-exp_binary64_3527`
6×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`pow1_binary64_3549`
4×	`associate-/l*_binary64_3433`
3×	`associate-/r*_binary64_3432`
2×	`distribute-lft-out--_binary64_3440` `sub-neg_binary64_3481` `associate-/l/_binary64_3435`
1×	`exp-diff_binary64_3536` `log-div_binary64_3575` `rem-log-exp_binary64_3529` `diff-log_binary64_3580` `flip3--_binary64_3492` `flip--_binary64_3463` `sum-log_binary64_3579` `+-commutative_binary64_3418` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487`

Counts

4 → 205

Calls

4 calls:

65.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (exp.f64 (.f64 x x))))))
64.0ms	(-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (exp.f64 (.f64 x x))))
37.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
34.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))

Compiler

Compiled 19433 to 14266 computations (26.6% saved)

series1.6min (63.2%)

Error

14.3b

Counts

4 → 18

Calls

4 calls:

1.3min	(log.f64 (exp.f64 (-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (exp.f64 (.f64 x x))))))
17.1s	(-.f64 1 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (exp.f64 (.f64 x x))))
455.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
427.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 31760 to 24412 computations (23.1% saved)

simplify394.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5045	45719

prune2.7s (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	223	6	229

Error

14.3b

Counts

229 → 6

Compiler

Compiled 32431 to 23739 computations (26.8% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

14.3b	(-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
14.3b	(-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
14.3b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x))))))))
14.3b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x))))))))

rewrite1.4s (1%)

Algorithm

1×	rewrite-expression-head

Error

10.0b

Rules

40×	`cancel-sign-sub-inv_binary64_3454`
38×	`*-un-lft-identity_binary64_3488`
34×	`log-prod_binary64_3574`
30×	`add-sqr-sqrt_binary64_3510`
28×	`sqrt-prod_binary64_3504`
22×	`exp-sum_binary64_3534`
18×	`log-pow_binary64_3577` `add-cube-cbrt_binary64_3523`
16×	`times-frac_binary64_3494`
14×	`sqrt-pow1_binary64_3506`
12×	`exp-prod_binary64_3540`
8×	`pow1_binary64_3549` `difference-of-squares_binary64_3457` `associate-*l/_binary64_3431` `associate-/r/_binary64_3434` `add-log-exp_binary64_3527`
6×	`add-exp-log_binary64_3526`
4×	`distribute-lft-out--_binary64_3440` `sub-neg_binary64_3481` `distribute-lft-out_binary64_3439` `div-inv_binary64_3485` `flip3-+_binary64_3491` `flip-+_binary64_3462` `add-cbrt-cube_binary64_3524`
2×	`pow1/2_binary64_3568` `exp-diff_binary64_3536` `sqrt-div_binary64_3505` `log-div_binary64_3575` `rem-log-exp_binary64_3529` `diff-log_binary64_3580` `flip3--_binary64_3492` `flip--_binary64_3463`

Counts

4 → 118

Calls

4 calls:

44.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x))))))))
44.0ms	(-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
41.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x))))))))
38.0ms	(-.f64 1 (/.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))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))

Compiler

Compiled 17408 to 13020 computations (25.2% saved)

series45.7s (30.5%)

Compiler: Compiled 3558 to 2937 computations (17.5% saved)

Details

analyze147.0ms (0.1%)

sample45.0ms (0%)

simplify61.0ms (0%)

prune9.0ms (0%)

localize23.0ms (0%)

rewrite534.0ms (0.4%)

series1.7s (1.1%)

simplify89.0ms (0.1%)

prune447.0ms (0.3%)

localize25.0ms (0%)

rewrite1.8s (1.2%)

series1.6min (63.2%)

simplify394.0ms (0.3%)

prune2.7s (1.8%)

localize30.0ms (0%)

rewrite1.4s (1%)

series45.7s (30.5%)

Profiling