Details

analyze94.0ms (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	12	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune7.0ms (0.1%)

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

32.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
30.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_84`
22×	`log-pow_binary64_167`
20×	`pow1_binary64_139`
16×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`sqrt-pow1_binary64_96` `associate-/l*_binary64_23` `pow1/2_binary64_158`
4×	`add-cbrt-cube_binary64_114` `associate-/r*_binary64_22` `add-exp-log_binary64_116` `sqrt-div_binary64_95`
3×	`sqrt-prod_binary64_94`
2×	`add-log-exp_binary64_117` `flip-+_binary64_52` `log-div_binary64_165` `div-sub_binary64_83` `flip3-+_binary64_81`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `rem-sqrt-square_binary64_91` `frac-2neg_binary64_89` `div-inv_binary64_75` `clear-num_binary64_77`

Counts

2 → 63

Calls

2 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series94.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
24.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5019	1640

prune95.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	55	14	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	14	70

Error

0.5b

Counts

70 → 14

Compiler

Compiled 1610 to 694 computations (56.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`times-frac_binary64_84`
11×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
10×	`log-pow_binary64_167`
4×	`associate-/l_binary64_23` `associate-/r_binary64_22`
3×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
1×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `div-inv_binary64_75` `clear-num_binary64_77`

Counts

1 → 36

Calls

1 calls:

4.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

series117.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

116.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4930	646
1	4930	646

prune58.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	29	10	39
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	33	20	53

Error

0.4b

Counts

53 → 20

Compiler

Compiled 860 to 524 computations (39.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (log.f64 10) (log.f64 (neg.f64 re))))
0.4b	(/.f64 (log.f64 10) (log.f64 (neg.f64 re)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_84`
69×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
45×	`pow1_binary64_139`
42×	`log-pow_binary64_167`
24×	`associate-/r*_binary64_22`
15×	`add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114`
8×	`div-exp_binary64_129`
7×	`associate-/l*_binary64_23`
6×	`div-inv_binary64_75`
4×	`cbrt-undiv_binary64_112`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `associate-/r/_binary64_24`

Counts

2 → 140

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 10) (log.f64 (neg.f64 re))))
4.0ms	(/.f64 (log.f64 10) (log.f64 (neg.f64 re)))

series254.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

149.0ms	(/.f64 (log.f64 10) (log.f64 (neg.f64 re)))
105.0ms	(/.f64 1 (/.f64 (log.f64 10) (log.f64 (neg.f64 re))))

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4956	2854
1	4956	2854

prune150.0ms (2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	4	15	19
Picked	0	1	1
Done	0	0	0
Total	145	21	166

Error

0.4b

Counts

166 → 21

Compiler

Compiled 2506 to 1596 computations (36.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (neg.f64 re))))
0.4b	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (neg.f64 re)))

rewrite212.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

2249×	`times-frac_binary64_84`
898×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
832×	`sqrt-prod_binary64_94`
400×	`pow1_binary64_139`
398×	`log-pow_binary64_167`
61×	`div-inv_binary64_75`
36×	`associate-/r*_binary64_22`
32×	`associate-/l*_binary64_23`
26×	`add-exp-log_binary64_116`
17×	`div-exp_binary64_129`
16×	`add-cbrt-cube_binary64_114`
9×	`cbrt-undiv_binary64_112`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77`
1×	`associate-/r/_binary64_24` `associate-/l/_binary64_25`

Counts

2 → 932

Calls

2 calls:

32.0ms	(/.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (neg.f64 re))))
5.0ms	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (neg.f64 re)))

series275.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

165.0ms	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (neg.f64 re)))
109.0ms	(/.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (neg.f64 re))))

simplify381.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

938 → 938

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5486	35251

prune2.2s (29.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	932	6	938
Fresh	6	13	19
Picked	1	0	1
Done	0	1	1
Total	939	20	959

Error

0.3b

Counts

959 → 20

Compiler

Compiled 22173 to 16289 computations (26.5% saved)

regimes1.3s (17.9%)

Accuracy

Total 6.8b remaining (94.3%)

Threshold costs 0b (0%)

Compiler

Compiled 10706 to 7740 computations (27.7% saved)

bsearch45.0ms (0.6%)

Steps

Iters	Range		Point
6	-2.182019095484277e-159	-1.899650180004068e-160	-1.9394593244444012e-160
9	-1.3804224668106868e+145	-4.662150392655016e+137	-2.744471423822532e+141

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	79
1	39	79

Compiler

Compiled 98 to 70 computations (28.6% saved)

end0.0ms (0%)

sample1.7s (23.1%)

Algorithm

1×

intervals

Results

508.0ms

8000×

body

128

valid

Compiler

Compiled 1048 to 785 computations (25.1% saved)

Details

analyze94.0ms (1.3%)

sample24.0ms (0.3%)

simplify7.0ms (0.1%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite17.0ms (0.2%)

series94.0ms (1.3%)

simplify65.0ms (0.9%)

prune95.0ms (1.3%)

localize6.0ms (0.1%)

rewrite7.0ms (0.1%)

series117.0ms (1.6%)

simplify70.0ms (1%)

prune58.0ms (0.8%)

localize7.0ms (0.1%)

rewrite24.0ms (0.3%)

series254.0ms (3.5%)

simplify104.0ms (1.4%)

prune150.0ms (2%)

localize11.0ms (0.2%)

rewrite212.0ms (2.9%)

series275.0ms (3.7%)

simplify381.0ms (5.2%)

prune2.2s (29.8%)

regimes1.3s (17.9%)

bsearch45.0ms (0.6%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.7s (23.1%)

Profiling