Details

analyze9.0ms (0%)

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)

sample46.0ms (0.2%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune4.0ms (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

30.8b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
28.3b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite33.0ms (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

4 calls:

15.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
8.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
0.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series500.0ms (2.4%)

Counts

2 → 30

Calls

2 calls:

302.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
198.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 806 to 740 computations (8.2% saved)

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5069	2094

prune222.0ms (1.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	76	17	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	17	94

Error

0.4b

Counts

94 → 17

Compiler

Compiled 2017 to 941 computations (53.3% saved)

localize25.0ms (0.1%)

Local error

Found 6 expressions with local error:

29.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.5b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
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))))
0.3b	(.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)))
29.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite80.0ms (0.4%)

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

6 calls:

32.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
13.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
7.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
0.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))

series706.0ms (3.4%)

Counts

3 → 36

Calls

3 calls:

303.0ms

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

274.0ms

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

128.0ms

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

Compiler

Compiled 1388 to 1334 computations (3.9% saved)

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4985	5102
1	4985	5102

prune401.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	182	7	189
Fresh	11	5	16
Picked	1	0	1
Done	0	0	0
Total	194	12	206

Error

0.3b

Counts

206 → 12

Compiler

Compiled 4969 to 2850 computations (42.6% saved)

localize28.0ms (0.1%)

Local error

Found 6 expressions with local error:

15.6b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
15.2b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
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))))))
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))))))
15.2b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
15.6b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))

rewrite52.0ms (0.2%)

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

6 calls:

16.0ms	(.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))))))
13.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
10.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
0.0ms	(.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))))))
0.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

series1.5s (7%)

Counts

3 → 36

Calls

3 calls:

615.0ms

(*.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))))))

467.0ms

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

381.0ms

(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)

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5161	4321

prune349.0ms (1.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	147	6	153
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	149	16	165

Error

0.2b

Counts

165 → 16

Compiler

Compiled 4216 to 2807 computations (33.4% saved)

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

29.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.6b	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.5b	(.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))))))
0.5b	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
0.5b	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
0.5b	(.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))))
29.5b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite186.0ms (0.9%)

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

8 calls:

77.0ms	(.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))))))
9.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))

series1.7s (7.9%)

Counts

4 → 52

Calls

4 calls:

694.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
432.0ms	(.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))))))
346.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
184.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 2842 to 2666 computations (6.2% saved)

simplify270.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

462 → 462

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5002	14826

prune1.1s (5.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	452	10	462
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	459	19	478

Error

0.1b

Counts

478 → 19

Compiler

Compiled 13738 to 7690 computations (44% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	680	2596
1	680	2596

regimes3.1s (14.7%)

Accuracy

Total 17.5b remaining (98.6%)

Threshold costs 0b (0%)

Compiler

Compiled 16984 to 13591 computations (20% saved)

bsearch132.0ms (0.6%)

Steps

Iters	Range		Point
7	2.2604276343637067e+89	1.2703823963490312e+91	5.179540222444118e+90
10	1.6474728892184873e-183	2.3423925686010187e-173	3.643016007571221e-180
7	-1.153505436316687e-299	-5.525876438110106e-302	-5.535169434540731e-301
10	-2.861169588080768e+114	-1.4620611642720228e+102	-7.061285158928872e+113

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	54	154
1	54	154

end0.0ms (0%)

sample10.0s (47.8%)

Algorithm

1×

intervals

Results

693.0ms

8000×

body

128

valid

Compiler

Compiled 4896 to 4024 computations (17.8% saved)

Pareto

0.05019959992261301

Details

analyze9.0ms (0%)

sample46.0ms (0.2%)

simplify144.0ms (0.7%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite33.0ms (0.2%)

series500.0ms (2.4%)

simplify103.0ms (0.5%)

prune222.0ms (1.1%)

localize25.0ms (0.1%)

rewrite80.0ms (0.4%)

series706.0ms (3.4%)

simplify168.0ms (0.8%)

prune401.0ms (1.9%)

localize28.0ms (0.1%)

rewrite52.0ms (0.2%)

series1.5s (7%)

simplify111.0ms (0.5%)

prune349.0ms (1.7%)

localize22.0ms (0.1%)

rewrite186.0ms (0.9%)

series1.7s (7.9%)

simplify270.0ms (1.3%)

prune1.1s (5.1%)

simplify70.0ms (0.3%)

regimes3.1s (14.7%)

bsearch132.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample10.0s (47.8%)

Profiling