Details

analyze5.0ms (0.1%)

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
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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune3.0ms (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

32.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize14.0ms (0.2%)

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 (0.3%)

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)))

series101.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
25.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5019	1640

prune98.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	54	15	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	15	70

Error

8.2b

Counts

70 → 15

Compiler

Compiled 1615 to 700 computations (56.7% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))

0.5b

(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))

31.3b

(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64_84`
82×	`add-sqr-sqrt_binary64_100`
54×	`sqrt-prod_binary64_94`
52×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
33×	`pow1_binary64_139`
32×	`associate-r_binary64_18`
28×	`log-pow_binary64_167`
25×	`associate-l_binary64_19`
18×	`add-exp-log_binary64_116`
17×	`add-cbrt-cube_binary64_114`
9×	`unswap-sqr_binary64_46`
7×	`associate-/r*_binary64_22`
5×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-/l*_binary64_23` `log-div_binary64_165`
3×	`add-log-exp_binary64_117` `div-inv_binary64_75` `log-prod_binary64_164`
2×	`flip-+_binary64_52` `div-sub_binary64_83` `flip3-+_binary64_81`
1×	`-commutative_binary64_9` `frac-2neg_binary64_89` `frac-times_binary64_88` `associate-l/_binary64_21` `rem-log-exp_binary64_119` `pow-prod-down_binary64_149` `associate-*r/_binary64_20` `clear-num_binary64_77`

Counts

3 → 153

Calls

3 calls:

28.0ms

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))

8.0ms

(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))

4.0ms

(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series203.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

92.0ms

(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10)))

79.0ms

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))

31.0ms

(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5010	4482

prune229.0ms (3.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	153	9	162
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	164	13	177

Error

8.1b

Counts

177 → 13

Compiler

Compiled 4440 to 2549 computations (42.6% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))

12.2b

(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))

20.2b

(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_100`
44×	`times-frac_binary64_84`
39×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
25×	`sqrt-prod_binary64_94` `associate-l_binary64_19` `pow-unpow_binary64_155`
21×	`log-prod_binary64_164`
12×	`unpow-prod-down_binary64_157` `pow1_binary64_139`
11×	`add-exp-log_binary64_116`
8×	`add-cbrt-cube_binary64_114` `log-pow_binary64_167`
7×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28`
4×	`sqr-pow_binary64_50` `associate-r_binary64_18`
3×	`add-log-exp_binary64_117` `rem-log-exp_binary64_119` `unswap-sqr_binary64_46`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `div-inv_binary64_75`
1×	`-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `pow-pow_binary64_150` `associate-l/_binary64_21` `pow-prod-down_binary64_149`

Counts

3 → 117

Calls

3 calls:

14.0ms

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))

8.0ms

(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

5.0ms

(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))

series527.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

237.0ms

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))))

147.0ms

(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))

143.0ms

(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4981	3350
1	4981	3350

prune191.0ms (3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	124	15	139

Error

8.0b

Counts

139 → 15

Compiler

Compiled 3436 to 2244 computations (34.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
0.4b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
31.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`sqrt-prod_binary64_94`
112×	`times-frac_binary64_84`
107×	`add-sqr-sqrt_binary64_100`
69×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
60×	`associate-l_binary64_19`
42×	`pow1_binary64_139`
31×	`log-pow_binary64_167`
29×	`associate-r_binary64_18`
21×	`add-exp-log_binary64_116`
20×	`add-cbrt-cube_binary64_114`
12×	`unswap-sqr_binary64_46`
10×	`sqrt-div_binary64_95`
7×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-/r*_binary64_22`
6×	`frac-times_binary64_88` `associate-*r/_binary64_20`
4×	`add-log-exp_binary64_117` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `log-div_binary64_165`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `log-prod_binary64_164`
2×	`*-commutative_binary64_9` `flip-+_binary64_52` `div-sub_binary64_83` `flip3-+_binary64_81`
1×	`frac-2neg_binary64_89` `rem-log-exp_binary64_119` `clear-num_binary64_77`

Counts

4 → 207

Calls

4 calls:

28.0ms	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
22.0ms	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
8.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series467.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

220.0ms	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))))
128.0ms	(.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))))))
87.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
31.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify120.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4948	7134
1	4948	7134

prune459.0ms (7.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	217	17	234

Error

8.0b

Counts

234 → 17

Compiler

Compiled 7434 to 5058 computations (32% saved)

regimes1.4s (21.8%)

Accuracy

Total 10.4b remaining (58.3%)

Threshold costs 0b (0%)

Compiler

Compiled 13715 to 10569 computations (22.9% saved)

bsearch46.0ms (0.7%)

Steps

Iters	Range		Point
7	9.621944991384895e+45	2.6027582340275693e+47	2.568937448597481e+47
9	-1.6745106296318455e+136	-1.417296921628933e+128	-4.343546319065555e+132

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	99
1	46	99

end0.0ms (0%)

sample1.9s (29.6%)

Algorithm

1×

intervals

Results

491.0ms

8000×

body

128

valid

Compiler

Compiled 1288 to 1033 computations (19.8% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.3%)

simplify94.0ms (1.5%)

prune3.0ms (0%)

localize14.0ms (0.2%)

rewrite17.0ms (0.3%)

series101.0ms (1.6%)

simplify69.0ms (1.1%)

prune98.0ms (1.5%)

localize13.0ms (0.2%)

rewrite58.0ms (0.9%)

series203.0ms (3.2%)

simplify99.0ms (1.5%)

prune229.0ms (3.6%)

localize16.0ms (0.2%)

rewrite43.0ms (0.7%)

series527.0ms (8.3%)

simplify88.0ms (1.4%)

prune191.0ms (3%)

localize18.0ms (0.3%)

rewrite95.0ms (1.5%)

series467.0ms (7.3%)

simplify120.0ms (1.9%)

prune459.0ms (7.2%)

regimes1.4s (21.8%)

bsearch46.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (29.6%)

Profiling