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 (0.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune2.0ms (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

31.7b

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))
29.5b	(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)))

series288.0ms (3%)

Counts

2 → 30

Calls

2 calls:

168.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
120.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 806 to 740 computations (8.2% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5069	2094

prune119.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	79	14	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	14	94

Error

0.4b

Counts

94 → 14

Compiler

Compiled 1966 to 920 computations (53.2% saved)

localize12.0ms (0.1%)

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)))

30.5b

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

rewrite58.0ms (0.6%)

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:

25.0ms

(*.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)))

series486.0ms (5.1%)

Counts

3 → 36

Calls

3 calls:

203.0ms

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

181.0ms

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

102.0ms

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

Compiler

Compiled 1388 to 1334 computations (3.9% saved)

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4985	5102
1	4985	5102

prune267.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	191	12	203

Error

0.3b

Counts

203 → 12

Compiler

Compiled 4972 to 2852 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))))))

13.9b

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

17.8b

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

rewrite40.0ms (0.4%)

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)))))

series1.0s (10.5%)

Counts

3 → 36

Calls

3 calls:

421.0ms

(*.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))))))

306.0ms

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

278.0ms

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

Compiler

Compiled 2188 to 2098 computations (4.1% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5161	4321

prune230.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	147	6	153
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	150	15	165

Error

0.2b

Counts

165 → 15

Compiler

Compiled 4179 to 2793 computations (33.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
0.4b	(.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
0.6b	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
30.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite146.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

532×	`times-frac_binary64_84`
318×	`add-sqr-sqrt_binary64_100`
238×	`*-un-lft-identity_binary64_78`
228×	`add-cube-cbrt_binary64_113`
152×	`sqrt-prod_binary64_94`
125×	`associate-r_binary64_18`
121×	`pow1_binary64_139`
115×	`log-pow_binary64_167`
42×	`add-exp-log_binary64_116`
32×	`add-cbrt-cube_binary64_114`
25×	`unswap-sqr_binary64_46`
24×	`associate-/r*_binary64_22`
22×	`associate-l_binary64_19`
19×	`div-exp_binary64_129`
17×	`div-inv_binary64_75`
13×	`cbrt-undiv_binary64_112`
10×	`associate-/l*_binary64_23`
9×	`prod-exp_binary64_127`
6×	`cbrt-unprod_binary64_111`
4×	`add-log-exp_binary64_117`
3×	`1-exp_binary64_122` `log-prod_binary64_164`
2×	`frac-2neg_binary64_89` `log-div_binary64_165` `associate-/r/_binary64_24` `clear-num_binary64_77`
1×	`-commutative_binary64_9` `flip-+_binary64_52` `frac-times_binary64_88` `associate-l/_binary64_21` `rem-log-exp_binary64_119` `pow-prod-down_binary64_149` `associate-*r/_binary64_20` `flip3-+_binary64_81`

Counts

4 → 410

Calls

4 calls:

69.0ms	(.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
10.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
6.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series1.1s (11.5%)

Counts

4 → 53

Calls

4 calls:

538.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
265.0ms	(.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
196.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
104.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 2979 to 2786 computations (6.5% saved)

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

463 → 463

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4971	15023
1	4971	15023

prune896.0ms (9.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	454	9	463
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	461	17	478

Error

0.1b

Counts

478 → 17

Compiler

Compiled 13858 to 7783 computations (43.8% saved)

regimes2.0s (20.4%)

Accuracy

Total 17.3b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 15126 to 12254 computations (19% saved)

bsearch165.0ms (1.7%)

Steps

Iters	Range		Point
8	5.936231169582252e+104	1.6167900166642624e+109	1.1192013375802831e+108
7	4.6843294964262305e-151	1.907102052707103e-149	4.7489781145347514e-151
9	1.885709419303969e-242	2.4502870931347238e-237	7.847390610675132e-242
8	8.293885128054321e-296	2.092276848791855e-291	4.4402811843754925e-292
10	-1.4613005312041836e-220	-7.035245255489036e-231	-1.4464803866898927e-220
8	-5.534359941001021e-174	-8.732158925087446e-179	-8.924391194312242e-179
9	-6.742266608769167e+114	-1.8749053345779323e+108	-1.2818911259175852e+112

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	250
1	110	250

end0.0ms (0%)

sample2.2s (22.9%)

Algorithm

1×

intervals

Results

481.0ms

8000×

body

128

valid

Compiler

Compiled 1562 to 1307 computations (16.3% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.2%)

simplify99.0ms (1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite17.0ms (0.2%)

series288.0ms (3%)

simplify70.0ms (0.7%)

prune119.0ms (1.2%)

localize12.0ms (0.1%)

rewrite58.0ms (0.6%)

series486.0ms (5.1%)

simplify124.0ms (1.3%)

prune267.0ms (2.8%)

localize16.0ms (0.2%)

rewrite40.0ms (0.4%)

series1.0s (10.5%)

simplify66.0ms (0.7%)

prune230.0ms (2.4%)

localize14.0ms (0.1%)

rewrite146.0ms (1.5%)

series1.1s (11.5%)

simplify160.0ms (1.7%)

prune896.0ms (9.4%)

regimes2.0s (20.4%)

bsearch165.0ms (1.7%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (22.9%)

Profiling