Details

analyze321.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	8
71.8%	28.1%	0.1%	9
71.8%	28.1%	0.1%	10
73.4%	26.5%	0.1%	11
73.4%	26.5%	0.1%	12
74.1%	25.8%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	199×	body	128	valid
8.0ms	18×	body	4096	valid
4.0ms	18×	body	2048	valid
2.0ms	9×	body	1024	valid
1.0ms	7×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify164.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	23
1	23	23

prune3.0ms (0.1%)

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

Merged error: 39.4b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.5b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
31.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64_2548` `add-log-exp_binary64_2526`
7×	`*-un-lft-identity_binary64_2487`
6×	`add-sqr-sqrt_binary64_2509`
5×	`add-cube-cbrt_binary64_2522`
4×	`sqrt-prod_binary64_2503` `add-exp-log_binary64_2525` `flip-+_binary64_2461` `flip3-+_binary64_2490` `add-cbrt-cube_binary64_2523` `sqrt-div_binary64_2504`
3×	`sqrt-pow1_binary64_2505`
2×	`+-commutative_binary64_2417` `sum-log_binary64_2578` `pow1/2_binary64_2567` `associate-*r/_binary64_2429`
1×	`distribute-lft-out_binary64_2438` `pow-prod-down_binary64_2558` `rem-sqrt-square_binary64_2500`

Counts

4 → 51

Calls

4 calls:

11.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
10.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))

series354.0ms (7%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
54.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
46.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
36.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5005	1040

prune246.0ms (4.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Merged error: 18.2b

Counts

64 → 8

Compiler

Compiled 4095 to 2569 computations (37.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
0.5b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
31.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2509`
14×	`sqrt-prod_binary64_2503`
13×	`*-un-lft-identity_binary64_2487`
9×	`add-cube-cbrt_binary64_2522` `pow1_binary64_2548`
8×	`add-log-exp_binary64_2526`
7×	`associate-r_binary64_2427`
6×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523` `associate-l_binary64_2428`
4×	`unswap-sqr_binary64_2455` `flip-+_binary64_2461` `flip3-+_binary64_2490` `sqrt-div_binary64_2504`
3×	`sqrt-pow1_binary64_2505` `pow-prod-down_binary64_2558` `pow1/2_binary64_2567`
2×	`distribute-lft-out_binary64_2438` `+-commutative_binary64_2417` `sum-log_binary64_2578` `associate-*r/_binary64_2429`
1×	`*-commutative_binary64_2418` `prod-exp_binary64_2536` `cbrt-unprod_binary64_2520` `rem-sqrt-square_binary64_2500` `sqrt-unprod_binary64_2507`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
7.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series359.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

219.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
58.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
46.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
37.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5002	1595

prune118.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Merged error: 18.2b

Counts

91 → 11

Compiler

Compiled 2376 to 1191 computations (49.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
5.9b	(+.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
32.8b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
32.8b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2509`
10×	`cbrt-prod_binary64_2518` `*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
9×	`associate-r_binary64_2427`
8×	`sqrt-prod_binary64_2503`
6×	`add-exp-log_binary64_2525` `cbrt-div_binary64_2519` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548` `add-log-exp_binary64_2526`
4×	`flip-+_binary64_2461` `flip3-+_binary64_2490`
3×	`unswap-sqr_binary64_2455` `associate-l_binary64_2428`
2×	`pow1/3_binary64_2569` `sqrt-div_binary64_2504` `associate-*r/_binary64_2429`
1×	`*-commutative_binary64_2418` `prod-exp_binary64_2536` `+-commutative_binary64_2417` `sum-log_binary64_2578` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558`

Counts

4 → 65

Calls

4 calls:

11.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
10.0ms	(+.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series639.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
161.0ms	(+.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
144.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
128.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4885	2138
1	4885	2138

prune122.0ms (2.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	77	11	88

Merged error: 18.2b

Counts

88 → 11

Compiler

Compiled 3107 to 1151 computations (63% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.2b	(exp.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
13.9b	(+.f64 (.f64 (fabs.f64 (exp.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
32.8b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
32.8b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`cbrt-prod_binary64_2518` `*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
6×	`cbrt-div_binary64_2519` `add-log-exp_binary64_2526` `exp-sum_binary64_2533` `log-prod_binary64_2573`
5×	`exp-prod_binary64_2539` `pow1_binary64_2548`
4×	`add-exp-log_binary64_2525` `flip-+_binary64_2461` `flip3-+_binary64_2490` `add-cbrt-cube_binary64_2523`
3×	`pow1/3_binary64_2569`
2×	`exp-diff_binary64_2535` `log-div_binary64_2574` `log-pow_binary64_2576`
1×	`rem-exp-log_binary64_2527` `+-commutative_binary64_2417` `sum-log_binary64_2578`

Counts

4 → 58

Calls

4 calls:

10.0ms	(+.f64 (.f64 (fabs.f64 (exp.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
7.0ms	(exp.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series627.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(exp.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
166.0ms	(+.f64 (.f64 (fabs.f64 (exp.f64 (log.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
143.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
135.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5178	1441

prune96.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	70	11	81

Merged error: 18.2b

Counts

81 → 11

Compiler

Compiled 2516 to 917 computations (63.6% saved)

regimes352.0ms (7%)

Compiler: Compiled 1535 to 1207 computations (21.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	116
1	48	116

end0.0ms (0%)

sample1.2s (23.1%)

Algorithm

1×

intervals

Results

296.0ms	6021×	body	128	valid
175.0ms	579×	body	4096	valid
149.0ms	647×	body	2048	valid
78.0ms	414×	body	1024	valid
31.0ms	230×	body	512	valid
10.0ms	109×	body	256	valid

Compiler

Compiled 288 to 199 computations (30.9% saved)

Details

analyze321.0ms (6.4%)

sample32.0ms (0.6%)

simplify164.0ms (3.3%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite36.0ms (0.7%)

series354.0ms (7%)

simplify57.0ms (1.1%)

prune246.0ms (4.9%)

localize11.0ms (0.2%)

rewrite36.0ms (0.7%)

series359.0ms (7.1%)

simplify48.0ms (1%)

prune118.0ms (2.3%)

localize14.0ms (0.3%)

rewrite38.0ms (0.8%)

series639.0ms (12.7%)

simplify63.0ms (1.3%)

prune122.0ms (2.4%)

localize18.0ms (0.4%)

rewrite34.0ms (0.7%)

series627.0ms (12.5%)

simplify64.0ms (1.3%)

prune96.0ms (1.9%)

regimes352.0ms (7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (23.1%)

Profiling