Details

analyze267.0ms (0.2%)

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)

sample82.0ms (0.1%)

Algorithm

1×

intervals

Results

66.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify120.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5204	79

prune13.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.8b

Counts

2 → 1

Compiler

Compiled 115 to 93 computations (19.1% saved)

localize47.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
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 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))))))))
13.8b	(-.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))))))

rewrite72.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
18×	`times-frac_binary64_2812`
12×	`add-exp-log_binary64_2844`
8×	`add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
6×	`associate-/r_binary64_2750` `associate-/l_binary64_2751` `pow1_binary64_2867`
4×	`div-exp_binary64_2857` `associate-/r/_binary64_2752`
3×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`1-exp_binary64_2850` `pow-flip_binary64_2880` `div-inv_binary64_2803` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `associate-+r+_binary64_2738` `inv-pow_binary64_2891` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`cancel-sign-sub-inv_binary64_2772` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `sub-neg_binary64_2799` `sum-log_binary64_2897` `flip--_binary64_2781` `+-commutative_binary64_2736`

Counts

4 → 91

Calls

4 calls:

15.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
10.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
9.0ms	(-.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))))))
7.0ms	(+.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))))))))

series2.8s (1.9%)

Counts

4 → 12

Calls

4 calls:

1.8s	(-.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))))))
878.0ms	(+.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))))))))
108.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
106.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 1750 to 1418 computations (19% saved)

simplify178.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4924	4010
1	4924	4010

prune793.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Error

13.8b

Counts

104 → 2

Compiler

Compiled 7693 to 5694 computations (26% saved)

localize62.0ms (0%)

Local error

Found 4 expressions with local error:

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)))))
0.5b	(.f64 (/.f64 (/.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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (.f64 x x))) (+.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 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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (*.f64 x x)))))
0.8b	(pow.f64 (/.f64 (/.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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (.f64 x x))) 3)
13.3b	(-.f64 1 (pow.f64 (/.f64 (/.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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (.f64 x x))) 3))

rewrite893.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

465×	`times-frac_binary64_2812`
326×	`*-un-lft-identity_binary64_2806`
265×	`add-sqr-sqrt_binary64_2828`
222×	`add-cube-cbrt_binary64_2841`
122×	`cancel-sign-sub-inv_binary64_2772` `cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
58×	`associate-l_binary64_2747`
47×	`distribute-lft-out_binary64_2757`
30×	`associate-/r/_binary64_2752`
20×	`div-inv_binary64_2803`
19×	`add-cbrt-cube_binary64_2842`
18×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
16×	`difference-of-squares_binary64_2775`
15×	`add-exp-log_binary64_2844`
8×	`add-log-exp_binary64_2845`
7×	`pow1_binary64_2867`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
4×	`sqr-pow_binary64_2778` `associate-r_binary64_2746`
3×	`pow-exp_binary64_2874` `prod-exp_binary64_2855` `pow-unpow_binary64_2883` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `rem-cube-cbrt_binary64_2829`
2×	`frac-times_binary64_2816` `unpow3_binary64_2872` `cube-mult_binary64_2836` `associate-*r/_binary64_2748`
1×	`-commutative_binary64_2737` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-lft-out--_binary64_2758` `distribute-rgt-in_binary64_2756` `pow-pow_binary64_2878` `diff-log_binary64_2898` `sub-neg_binary64_2799` `pow-to-exp_binary64_2875` `sum-log_binary64_2897` `flip--_binary64_2781` `cube-div_binary64_2835` `pow-prod-down_binary64_2877` `associate-l/_binary64_2749` `+-commutative_binary64_2736`

Counts

4 → 387

Calls

4 calls:

202.0ms	(.f64 (/.f64 (/.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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (.f64 x x))) (+.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 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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (*.f64 x x)))))
167.0ms	(-.f64 1 (pow.f64 (/.f64 (/.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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (.f64 x x))) 3))
89.0ms	(pow.f64 (/.f64 (/.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 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (exp.f64 (.f64 x x))) 3)
77.0ms	(+.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)))))

series2.4min (96.4%)

Compiler: Compiled 4363 to 3347 computations (23.3% saved)

Details

analyze267.0ms (0.2%)

sample82.0ms (0.1%)

simplify120.0ms (0.1%)

prune13.0ms (0%)

localize47.0ms (0%)

rewrite72.0ms (0%)

series2.8s (1.9%)

simplify178.0ms (0.1%)

prune793.0ms (0.5%)

localize62.0ms (0%)

rewrite893.0ms (0.6%)

series2.4min (96.4%)

Profiling