Details

analyze149.0ms (0.5%)

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

Symmetry

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample44.0ms (0.1%)

Algorithm

1×

intervals

Results

33.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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

14.7b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize22.0ms (0.1%)

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))))))))
14.6b	(-.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))))))

rewrite525.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

20×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
18×	`times-frac_binary64_2471`
12×	`add-exp-log_binary64_2503`
8×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
4×	`div-exp_binary64_2516` `associate-/r/_binary64_2411`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`associate-+r+_binary64_2397` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `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` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395`

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))))))))
5.0ms	(/.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)

series1.6s (5.3%)

Error

14.6b

Counts

4 → 12

Calls

4 calls:

990.0ms	(-.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))))))
497.0ms	(+.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))))))))
60.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
59.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2625 to 2081 computations (20.7% saved)

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4924	4010
1	4924	4010

prune458.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	100	5	105

Error

14.6b

Counts

105 → 5

Compiler

Compiled 7971 to 5914 computations (25.8% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))
0.3b	(.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
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 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
14.6b	(-.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 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.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))))))

rewrite680.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

21×	`add-sqr-sqrt_binary64_2487`
19×	`cbrt-prod_binary64_2496`
14×	`cbrt-div_binary64_2497`
13×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
8×	`add-log-exp_binary64_2504` `flip3-+_binary64_2468` `flip-+_binary64_2439`
7×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-cbrt-cube_binary64_2501` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
2×	`associate-+r+_binary64_2397` `pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `associate-l/_binary64_2408` `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` `sum-log_binary64_2556` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 86

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
5.0ms	(+.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 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
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 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.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))))))
3.0ms	(cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 9249 to 6956 computations (24.8% saved)

series1.8s (6%)

Error

14.6b

Counts

4 → 12

Calls

4 calls:

1.0s	(-.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 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.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))))))
511.0ms	(+.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 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (cbrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
154.0ms	(.f64 (cbrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) (cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
126.0ms	(cbrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))

Compiler

Compiled 2895 to 2297 computations (20.7% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4958	4204
1	4958	4204

prune532.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Error

14.6b

Counts

103 → 6

Compiler

Compiled 8804 to 6564 computations (25.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)
0.4b	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
0.4b	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
14.6b	(-.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))))))

rewrite1.3s (4.4%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

48×	`times-frac_binary64_2471`
43×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
41×	`add-cube-cbrt_binary64_2500`
27×	`unpow-prod-down_binary64_2544`
16×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409`
15×	`add-exp-log_binary64_2503`
14×	`frac-sub_binary64_2474`
13×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
10×	`frac-add_binary64_2473`
9×	`unpow2_binary64_2530` `sqr-pow_binary64_2437`
8×	`add-cbrt-cube_binary64_2501`
6×	`div-exp_binary64_2516` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`sum-log_binary64_2556` `diff-log_binary64_2557` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
3×	`cancel-sign-sub-inv_binary64_2431` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `pow-unpow_binary64_2542`
2×	`associate-*l/_binary64_2408` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`
1×	`flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `pow-pow_binary64_2537`

Counts

4 → 151

Calls

4 calls:

42.0ms	(-.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 (20.3%)

Error

14.6b

Counts

4 → 15

Calls

4 calls:

5.8s	(-.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))))))
108.0ms	(/.f64 6544414927309881/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
105.0ms	(/.f64 6401478394306903/4503599627370496 (pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2))
54.0ms	(pow.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)

Compiler

Compiled 8565 to 6543 computations (23.6% saved)

simplify207.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4924	15011
1	4924	15011

prune1.8s (5.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	164	8	172

Error

14.6b

Counts

172 → 8

Compiler

Compiled 19199 to 13348 computations (30.5% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.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 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))
14.6b	(-.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 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite2.5s (8%)

Algorithm

1×	rewrite-expression-head

Error

14.5b

Rules

279×	`times-frac_binary64_2471`
153×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
138×	`sqrt-prod_binary64_2481`
27×	`associate-/l*_binary64_2410`
18×	`associate-/r/_binary64_2411`
17×	`add-exp-log_binary64_2503`
16×	`sqrt-div_binary64_2482`
11×	`add-cbrt-cube_binary64_2501`
10×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
9×	`div-inv_binary64_2462` `associate-/r*_binary64_2409`
8×	`add-log-exp_binary64_2504` `div-exp_binary64_2516`
5×	`pow1_binary64_2526`
4×	`cbrt-undiv_binary64_2499`
2×	`associate-+r+_binary64_2397` `1-exp_binary64_2509` `rec-exp_binary64_2515` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
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` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `associate-/l/_binary64_2412` `inv-pow_binary64_2550` `pow-flip_binary64_2539`

Counts

4 → 251

Calls

4 calls:

17.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.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 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.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 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))

Compiler

Compiled 24164 to 18348 computations (24.1% saved)

series1.6s (5.2%)

Error

14.6b

Counts

4 → 12

Calls

4 calls:

983.0ms	(-.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 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
479.0ms	(+.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 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 4780145094533421/4503599627370496))))))))
65.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
59.0ms	(/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 2706 to 2144 computations (20.8% saved)

simplify185.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4933	11614
1	4933	11614

prune2.0s (6.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	263	8	271

Error

14.6b

Counts

271 → 8

Compiler

Compiled 22062 to 16596 computations (24.8% saved)

regimes1.8s (5.9%)

Accuracy

Total 0.1b remaining (0.6%)

Threshold costs 0.1b (0.6%)

Compiler

Compiled 38252 to 29323 computations (23.3% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	85	499
1	85	499

Removed

()

end0.0ms (0%)

sample6.9s (22.3%)

Algorithm

1×

intervals

Results

938.0ms

8000×

body

128

valid

Compiler

Compiled 9523 to 7298 computations (23.4% saved)

Details

analyze149.0ms (0.5%)

sample44.0ms (0.1%)

simplify60.0ms (0.2%)

prune8.0ms (0%)

localize22.0ms (0.1%)

rewrite525.0ms (1.7%)

series1.6s (5.3%)

simplify90.0ms (0.3%)

prune458.0ms (1.5%)

localize31.0ms (0.1%)

rewrite680.0ms (2.2%)

series1.8s (6%)

simplify99.0ms (0.3%)

prune532.0ms (1.7%)

localize27.0ms (0.1%)

rewrite1.3s (4.4%)

series6.3s (20.3%)

simplify207.0ms (0.7%)

prune1.8s (5.9%)

localize30.0ms (0.1%)

rewrite2.5s (8%)

series1.6s (5.2%)

simplify185.0ms (0.6%)

prune2.0s (6.6%)

regimes1.8s (5.9%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample6.9s (22.3%)

Profiling