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)

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune6.0ms (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

Merged error: 32.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
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)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_84`
22×	`log-pow_binary64_167`
21×	`pow1_binary64_139`
17×	`add-sqr-sqrt_binary64_100`
16×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`sqrt-pow1_binary64_96` `associate-/l*_binary64_23` `pow1/2_binary64_158`
5×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116`
4×	`associate-/r*_binary64_22` `sqrt-div_binary64_95`
3×	`sqrt-prod_binary64_94` `flip-+_binary64_52` `flip3-+_binary64_81`
2×	`log-div_binary64_165` `div-sub_binary64_83`
1×	`+-commutative_binary64_8` `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` `sum-log_binary64_169`

Counts

3 → 74

Calls

3 calls:

7.0ms	(/.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)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

series115.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

73.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
23.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
19.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4966	1833
1	4966	1833

prune106.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	70	13	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	13	84

Merged error: 8.6b

Counts

84 → 13

Compiler

Compiled 1797 to 778 computations (56.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.2b	(.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)))

rewrite60.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64_84`
83×	`add-sqr-sqrt_binary64_100`
54×	`sqrt-prod_binary64_94`
53×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
34×	`pow1_binary64_139`
32×	`associate-r_binary64_18`
28×	`log-pow_binary64_167`
25×	`associate-l_binary64_19`
19×	`add-exp-log_binary64_116`
18×	`add-cbrt-cube_binary64_114`
9×	`unswap-sqr_binary64_46`
7×	`associate-/r*_binary64_22`
6×	`add-log-exp_binary64_117`
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×	`flip-+_binary64_52` `div-inv_binary64_75` `log-prod_binary64_164` `flip3-+_binary64_81`
2×	`div-sub_binary64_83`
1×	`+-commutative_binary64_8` `-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` `sum-log_binary64_169`

Counts

4 → 164

Calls

4 calls:

27.0ms	(.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	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series232.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
82.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
38.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
21.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4938	4675
1	4938	4675

prune247.0ms (3.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	173	16	189

Merged error: 8.4b

Counts

189 → 16

Compiler

Compiled 4883 to 2793 computations (42.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.2b	(.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))))))
14.6b	(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))))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_100`
44×	`times-frac_binary64_84`
40×	`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`
13×	`pow1_binary64_139`
12×	`unpow-prod-down_binary64_157` `add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114`
8×	`log-pow_binary64_167`
7×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28`
6×	`add-log-exp_binary64_117`
4×	`sqr-pow_binary64_50` `associate-r_binary64_18`
3×	`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_8` `-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip-+_binary64_52` `pow-pow_binary64_150` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 128

Calls

4 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)))))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

series518.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(.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))))))
138.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
138.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
19.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5070	3547

prune213.0ms (3.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	1	14	15
Picked	0	1	1
Done	0	0	0
Total	138	18	156

Merged error: 8.4b

Counts

156 → 18

Compiler

Compiled 3909 to 2522 computations (35.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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)))))
0.4b	(.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))))))
0.5b	(/.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)))

rewrite94.0ms (1.4%)

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:

32.0ms	(.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)))

series453.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(.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)))))
124.0ms	(.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))))))
89.0ms	(/.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)))

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	7134
1	4948	7134

prune422.0ms (6.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	1	15	16
Picked	0	1	1
Done	0	1	1
Total	217	20	237

Merged error: 8.3b

Counts

237 → 20

Compiler

Compiled 7434 to 5058 computations (32% saved)

regimes1.6s (24%)

Compiler: Compiled 15186 to 11720 computations (22.8% saved)

bsearch49.0ms (0.7%)

Steps

Iters	Range		Point
6	9.331021088301522e+57	5.106993621414856e+58	1.8765422039829392e+58
10	-1.4549797989184136e+56	-1.3430534158836476e+45	-1.297222298515406e+56

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%)

sample2.0s (29.6%)

Algorithm

1×

intervals

Results

499.0ms

8000×

body

128

valid

Compiler

Compiled 1438 to 1147 computations (20.2% saved)

Details

analyze5.0ms (0.1%)

sample22.0ms (0.3%)

simplify91.0ms (1.3%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite21.0ms (0.3%)

series115.0ms (1.7%)

simplify79.0ms (1.2%)

prune106.0ms (1.5%)

localize13.0ms (0.2%)

rewrite60.0ms (0.9%)

series232.0ms (3.4%)

simplify124.0ms (1.8%)

prune247.0ms (3.6%)

localize16.0ms (0.2%)

rewrite48.0ms (0.7%)

series518.0ms (7.6%)

simplify94.0ms (1.4%)

prune213.0ms (3.1%)

localize15.0ms (0.2%)

rewrite94.0ms (1.4%)

series453.0ms (6.6%)

simplify117.0ms (1.7%)

prune422.0ms (6.2%)

regimes1.6s (24%)

bsearch49.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (29.6%)

Profiling