Details

analyze148.0ms (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)

sample44.0ms (0%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify62.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5204	79

prune8.0ms (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

13.2b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(.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)))
0.4b	(+.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))))))))
13.2b	(-.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))))))

rewrite648.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

Rules

27×	`add-sqr-sqrt_binary64_2487`
21×	`*-un-lft-identity_binary64_2465`
20×	`add-cube-cbrt_binary64_2500` `times-frac_binary64_2471`
17×	`add-exp-log_binary64_2503`
15×	`associate-l_binary64_2406`
11×	`add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
7×	`pow1_binary64_2526`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`div-exp_binary64_2516` `prod-exp_binary64_2514` `associate-/r/_binary64_2411`
3×	`unswap-sqr_binary64_2433` `associate-r_binary64_2405` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`distribute-rgt-in_binary64_2415` `associate-+r+_binary64_2397` `distribute-lft-in_binary64_2414` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-unprod_binary64_2498` `cbrt-undiv_binary64_2499` `frac-times_binary64_2475` `associate-*r/_binary64_2407` `div-inv_binary64_2462`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `sum-log_binary64_2556` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `associate-l/_binary64_2408` `-commutative_binary64_2396` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

4 → 101

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)))
7.0ms	(-.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))))))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (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 8638 to 6512 computations (24.6% saved)

series1.7s (1.1%)

Error

13.2b

Counts

4 → 12

Calls

4 calls:

969.0ms	(-.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))))))
477.0ms	(+.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))))))))
139.0ms	(.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)))
60.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2607 to 2063 computations (20.9% saved)

simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4914	4837
1	4914	4837

prune494.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Error

13.2b

Counts

115 → 4

Compiler

Compiled 8618 to 6376 computations (26% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
13.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))
13.2b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))))

rewrite760.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

Rules

39×	`*-un-lft-identity_binary64_2465`
25×	`add-sqr-sqrt_binary64_2487`
20×	`cancel-sign-sub-inv_binary64_2431` `times-frac_binary64_2471`
19×	`add-cube-cbrt_binary64_2500`
15×	`log-prod_binary64_2551`
13×	`div-sub_binary64_2470`
12×	`exp-sum_binary64_2511`
10×	`associate-+r-_binary64_2399`
8×	`add-log-exp_binary64_2504`
7×	`log-pow_binary64_2554` `distribute-lft-out_binary64_2416`
6×	`exp-prod_binary64_2517` `associate-/r/_binary64_2411` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`pow1_binary64_2526` `flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`difference-of-squares_binary64_2434` `associate-l/_binary64_2408` `associate-/l_binary64_2410`
3×	`div-inv_binary64_2462` `associate-/r*_binary64_2409`
2×	`distribute-lft-out--_binary64_2417` `sub-neg_binary64_2458` `associate--r-_binary64_2404` `associate-/l/_binary64_2412`
1×	`exp-diff_binary64_2513` `log-div_binary64_2552` `rem-log-exp_binary64_2506` `diff-log_binary64_2557` `flip3--_binary64_2469` `flip--_binary64_2440` `sum-log_binary64_2556` `+-commutative_binary64_2395` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

4 → 105

Calls

4 calls:

46.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))
43.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))))
35.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
23.0ms	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 8912 to 6680 computations (25% saved)

series1.6min (62.5%)

Error

13.2b

Counts

4 → 18

Calls

4 calls:

1.3min	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))))
16.7s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))))
453.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
243.0ms	(/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 31703 to 24361 computations (23.2% saved)

simplify302.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4856	24901
1	4856	24901

prune1.5s (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Error

13.1b

Counts

127 → 7

Compiler

Compiled 20470 to 15359 computations (25% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(.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)))
0.2b	(/.f64 -5125037576950889/18014398509481984 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
13.2b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (.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))))) (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite676.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

13.1b

Rules

35×	`add-sqr-sqrt_binary64_2487`
29×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471`
28×	`add-cube-cbrt_binary64_2500`
19×	`add-exp-log_binary64_2503`
15×	`associate-l_binary64_2406`
13×	`add-cbrt-cube_binary64_2501`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `associate-/r/_binary64_2411` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
5×	`div-exp_binary64_2516` `flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`prod-exp_binary64_2514`
3×	`cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `unswap-sqr_binary64_2433` `associate-r_binary64_2405`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-unprod_binary64_2498` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `pow-prod-down_binary64_2536` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-l/_binary64_2408` `-commutative_binary64_2396` `inv-pow_binary64_2550` `pow-flip_binary64_2539`

Counts

4 → 117

Calls

4 calls:

11.0ms	(.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)))
10.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (.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))))) (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
5.0ms	(/.f64 -5125037576950889/18014398509481984 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 10342 to 7726 computations (25.3% saved)

series1.2s (0.8%)

Error

13.1b

Counts

4 → 12

Calls

4 calls:

887.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 -5125037576950889/18014398509481984 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (.f64 (.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))))) (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
124.0ms	(.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)))
57.0ms	(/.f64 -5125037576950889/18014398509481984 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
53.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2721 to 2129 computations (21.8% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5020	4451

prune673.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Error

13.1b

Counts

136 → 8

Compiler

Compiled 12201 to 9080 computations (25.6% saved)

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x))))))
0.7b	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3)
12.7b	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3))

rewrite2.6s (1.7%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

37×	`*-un-lft-identity_binary64_2465`
29×	`add-sqr-sqrt_binary64_2487`
26×	`cancel-sign-sub-inv_binary64_2431`
22×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
20×	`times-frac_binary64_2471`
19×	`add-cbrt-cube_binary64_2501`
17×	`add-exp-log_binary64_2503` `add-cube-cbrt_binary64_2500`
11×	`associate-*l/_binary64_2408`
10×	`associate-/r/_binary64_2411` `associate-l_binary64_2406`
8×	`add-log-exp_binary64_2504` `difference-of-squares_binary64_2434` `flip3-+_binary64_2468` `flip-+_binary64_2439`
7×	`pow1_binary64_2526` `distribute-lft-out_binary64_2416`
5×	`div-inv_binary64_2462` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`sqr-pow_binary64_2437` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-r_binary64_2405`
3×	`pow-unpow_binary64_2542` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `div-sub_binary64_2470` `associate-+r-_binary64_2399`
2×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
1×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `cube-div_binary64_2494` `pow-prod-down_binary64_2536` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 138

Calls

4 calls:

75.0ms	(.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x))))))
43.0ms	(-.f64 1 (pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3))
42.0ms	(pow.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) (exp.f64 (*.f64 x x)))) 3)
36.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (-.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) 6544414927309881/4503599627370496) (+.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 28136 to 20744 computations (26.3% saved)

series45.2s (30.1%)

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

Details

analyze148.0ms (0.1%)

sample44.0ms (0%)

simplify62.0ms (0%)

prune8.0ms (0%)

localize22.0ms (0%)

rewrite648.0ms (0.4%)

series1.7s (1.1%)

simplify101.0ms (0.1%)

prune494.0ms (0.3%)

localize26.0ms (0%)

rewrite760.0ms (0.5%)

series1.6min (62.5%)

simplify302.0ms (0.2%)

prune1.5s (1%)

localize27.0ms (0%)

rewrite676.0ms (0.5%)

series1.2s (0.8%)

simplify95.0ms (0.1%)

prune673.0ms (0.4%)

localize31.0ms (0%)

rewrite2.6s (1.7%)

series45.2s (30.1%)

Profiling