Details

analyze157.0ms (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)

sample39.0ms (0%)

Algorithm

1×

intervals

Results

29.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify64.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

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

13.0b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize27.0ms (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))))
0.4b	(+.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))))))))
13.0b	(-.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))))))

rewrite484.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

13.0b

Rules

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

Counts

4 → 91

Calls

4 calls:

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))))))
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))))))))

Compiler

Compiled 7584 to 5692 computations (24.9% saved)

series1.6s (1.1%)

Error

13.0b

Counts

4 → 12

Calls

4 calls:

992.0ms	(-.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))))))
489.0ms	(+.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))))))))
64.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
56.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2625 to 2081 computations (20.7% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4924	4010
1	4924	4010

prune484.0ms (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

13.0b

Counts

105 → 6

Compiler

Compiled 8085 to 6004 computations (25.7% saved)

localize33.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)
0.3b	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
0.3b	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
13.0b	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (+.f64 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) 5125037576950889/18014398509481984))) (+.f64 (/.f64 (/.f64 4780145094533421/4503599627370496 (exp.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 5)) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))))))

rewrite1.4s (0.9%)

Algorithm

1×	rewrite-expression-head

Error

12.9b

Rules

48×	`times-frac_binary64_2812`
43×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
41×	`add-cube-cbrt_binary64_2841`
27×	`unpow-prod-down_binary64_2885`
16×	`add-log-exp_binary64_2845` `associate-/r*_binary64_2750`
15×	`add-exp-log_binary64_2844`
14×	`frac-sub_binary64_2815`
13×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
10×	`frac-add_binary64_2814`
9×	`unpow2_binary64_2871` `sqr-pow_binary64_2778`
8×	`add-cbrt-cube_binary64_2842`
6×	`div-exp_binary64_2857` `associate-/l*_binary64_2751`
5×	`pow1_binary64_2867`
4×	`sum-log_binary64_2897` `diff-log_binary64_2898` `frac-times_binary64_2816` `associate-*r/_binary64_2748`
3×	`cancel-sign-sub-inv_binary64_2772` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `pow-unpow_binary64_2883`
2×	`associate-*l/_binary64_2749` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`
1×	`flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `pow-pow_binary64_2878`

Counts

4 → 151

Calls

4 calls:

40.0ms	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (+.f64 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) 5125037576950889/18014398509481984))) (+.f64 (/.f64 (/.f64 4780145094533421/4503599627370496 (exp.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 5)) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))))))
6.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
6.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
4.0ms	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)

Compiler

Compiled 16594 to 11486 computations (30.8% saved)

series6.3s (4.2%)

Error

13.0b

Counts

4 → 15

Calls

4 calls:

5.9s	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (+.f64 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) 5125037576950889/18014398509481984))) (+.f64 (/.f64 (/.f64 4780145094533421/4503599627370496 (exp.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 5)) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))))))
113.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
109.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
52.0ms	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)

Compiler

Compiled 8565 to 6543 computations (23.6% saved)

simplify217.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4924	15011
1	4924	15011

prune1.5s (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	160	6	166
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	164	8	172

Error

12.9b

Counts

172 → 8

Compiler

Compiled 19350 to 13450 computations (30.5% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
0.3b	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
13.0b	(log.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2)) (+.f64 5125037576950889/18014398509481984 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))) (+.f64 (/.f64 4780145094533421/4503599627370496 (.f64 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
13.0b	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2)) (+.f64 5125037576950889/18014398509481984 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))) (+.f64 (/.f64 4780145094533421/4503599627370496 (.f64 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))

rewrite1.5s (1%)

Algorithm

1×	rewrite-expression-head

Error

12.9b

Rules

48×	`times-frac_binary64_2812`
46×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
42×	`add-cube-cbrt_binary64_2841`
24×	`unpow-prod-down_binary64_2885`
16×	`add-log-exp_binary64_2845` `associate-/r*_binary64_2750`
14×	`add-exp-log_binary64_2844` `frac-sub_binary64_2815`
13×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
10×	`frac-add_binary64_2814`
8×	`add-cbrt-cube_binary64_2842` `log-prod_binary64_2892` `unpow2_binary64_2871` `sqr-pow_binary64_2778`
6×	`cancel-sign-sub-inv_binary64_2772` `log-pow_binary64_2895` `div-exp_binary64_2857` `associate-/l*_binary64_2751`
5×	`pow1_binary64_2867` `exp-prod_binary64_2858` `exp-sum_binary64_2852`
4×	`sum-log_binary64_2897` `diff-log_binary64_2898` `frac-times_binary64_2816` `associate-*r/_binary64_2748`
2×	`associate-*l/_binary64_2749` `sub-neg_binary64_2799` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758` `associate--l+_binary64_2743` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate--r+_binary64_2742` `exp-diff_binary64_2854` `log-div_binary64_2893` `rem-log-exp_binary64_2847`

Counts

4 → 156

Calls

4 calls:

19.0ms	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2)) (+.f64 5125037576950889/18014398509481984 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))) (+.f64 (/.f64 4780145094533421/4503599627370496 (.f64 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))
16.0ms	(log.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2)) (+.f64 5125037576950889/18014398509481984 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))) (+.f64 (/.f64 4780145094533421/4503599627370496 (.f64 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
6.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
6.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))

Compiler

Compiled 18294 to 12673 computations (30.7% saved)

series29.2s (19.5%)

Error

12.9b

Counts

4 → 18

Calls

4 calls:

22.7s	(log.f64 (exp.f64 (-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2)) (+.f64 5125037576950889/18014398509481984 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))) (+.f64 (/.f64 4780145094533421/4503599627370496 (.f64 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))))
5.8s	(-.f64 (+.f64 1 (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2)) (+.f64 5125037576950889/18014398509481984 (/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))) (+.f64 (/.f64 4780145094533421/4503599627370496 (.f64 (pow.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 5) (exp.f64 (.f64 x x)))) (.f64 (/.f64 (exp.f64 (neg.f64 (.f64 x x))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))))))
121.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))
113.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) 2))

Compiler

Compiled 14666 to 11336 computations (22.7% saved)

simplify249.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5370	21443

prune1.9s (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	175	7	182

Error

12.9b

Counts

182 → 7

Compiler

Compiled 23132 to 16229 computations (29.8% saved)

localize36.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(+.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))))
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 (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))) (+.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)))))
0.7b	(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 (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))) 3)
12.5b	(-.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 (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))) 3))

rewrite10.7s (7.2%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

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×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `cancel-sign-sub-inv_binary64_2772`
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×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
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-unpow_binary64_2883` `pow-exp_binary64_2874` `rem-cube-cbrt_binary64_2829` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774`
2×	`unpow3_binary64_2872` `cube-mult_binary64_2836` `frac-times_binary64_2816` `associate-*r/_binary64_2748`
1×	`diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `cube-div_binary64_2835` `pow-prod-down_binary64_2877` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-l/_binary64_2749` `-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 387

Calls

4 calls:

106.0ms	(.f64 (/.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (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))) (+.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)))))
83.0ms	(-.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 (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))) 3))
51.0ms	(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 (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))) 3)
33.0ms	(+.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 79512 to 57991 computations (27.1% saved)

series1.6min (62.6%)

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

Details

analyze157.0ms (0.1%)

sample39.0ms (0%)

simplify64.0ms (0%)

prune9.0ms (0%)

localize27.0ms (0%)

rewrite484.0ms (0.3%)

series1.6s (1.1%)

simplify95.0ms (0.1%)

prune484.0ms (0.3%)

localize33.0ms (0%)

rewrite1.4s (0.9%)

series6.3s (4.2%)

simplify217.0ms (0.1%)

prune1.5s (1%)

localize37.0ms (0%)

rewrite1.5s (1%)

series29.2s (19.5%)

simplify249.0ms (0.2%)

prune1.9s (1.3%)

localize36.0ms (0%)

rewrite10.7s (7.2%)

series1.6min (62.6%)

Profiling