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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify164.0ms (3.2%)

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

Merged error: 29.8b

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))
27.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_83`
22×	`log-pow_binary64_163`
21×	`pow1_binary64_135`
17×	`add-sqr-sqrt_binary64_98`
16×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
6×	`sqrt-pow1_binary64_94` `associate-/l*_binary64_24` `pow1/2_binary64_154`
5×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113`
4×	`associate-/r*_binary64_23` `sqrt-div_binary64_93`
3×	`sqrt-prod_binary64_92` `flip-+_binary64_51` `flip3-+_binary64_80`
2×	`div-sub_binary64_82` `log-div_binary64_161`
1×	`rem-sqrt-square_binary64_90` `cbrt-undiv_binary64_108` `+-commutative_binary64_9` `div-exp_binary64_125` `clear-num_binary64_76` `frac-2neg_binary64_88` `sum-log_binary64_165` `div-inv_binary64_74`

Counts

3 → 74

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series220.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

138.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
45.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
36.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4884	1833
1	4884	1833

prune114.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	69	14	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	14	84

Merged error: 6.1b

Counts

84 → 14

Compiler

Compiled 1851 to 801 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))
0.3b	(.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)))
28.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite65.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64_83`
83×	`add-sqr-sqrt_binary64_98`
54×	`sqrt-prod_binary64_92`
53×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
34×	`pow1_binary64_135`
32×	`associate-r_binary64_19`
28×	`log-pow_binary64_163`
25×	`associate-l_binary64_20`
19×	`add-exp-log_binary64_112`
18×	`add-cbrt-cube_binary64_110`
9×	`unswap-sqr_binary64_45`
7×	`associate-/r*_binary64_23`
6×	`add-log-exp_binary64_113`
5×	`cbrt-undiv_binary64_108` `div-exp_binary64_125`
4×	`cbrt-unprod_binary64_107` `associate-/l*_binary64_24` `prod-exp_binary64_123` `log-div_binary64_161`
3×	`log-prod_binary64_160` `flip-+_binary64_51` `flip3-+_binary64_80` `div-inv_binary64_74`
2×	`div-sub_binary64_82`
1×	`rem-log-exp_binary64_115` `pow-prod-down_binary64_145` `frac-times_binary64_87` `associate-l/_binary64_22` `+-commutative_binary64_9` `associate-r/_binary64_21` `*-commutative_binary64_10` `clear-num_binary64_76` `frac-2neg_binary64_88` `sum-log_binary64_165`

Counts

4 → 164

Calls

4 calls:

26.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
10.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series404.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
142.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
55.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
45.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4939	4675
1	4939	4675

prune251.0ms (4.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	168	8	176
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	177	13	190

Merged error: 5.9b

Counts

190 → 13

Compiler

Compiled 4768 to 2726 computations (42.8% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
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))))))
12.9b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
16.8b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_98`
44×	`times-frac_binary64_83`
40×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
25×	`sqrt-prod_binary64_92` `associate-l_binary64_20` `pow-unpow_binary64_151`
21×	`log-prod_binary64_160`
13×	`pow1_binary64_135`
12×	`add-exp-log_binary64_112` `unpow-prod-down_binary64_153`
9×	`add-cbrt-cube_binary64_110`
8×	`log-pow_binary64_163`
7×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
6×	`add-log-exp_binary64_113`
4×	`sqr-pow_binary64_49` `associate-r_binary64_19`
3×	`rem-log-exp_binary64_115` `unswap-sqr_binary64_45`
2×	`pow-to-exp_binary64_143` `cbrt-unprod_binary64_107` `pow-exp_binary64_142` `prod-exp_binary64_123` `div-inv_binary64_74`
1×	`pow-prod-down_binary64_145` `flip-+_binary64_51` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `associate-l/_binary64_22` `+-commutative_binary64_9` `div-exp_binary64_125` `-commutative_binary64_10` `pow-pow_binary64_146` `sum-log_binary64_165`

Counts

4 → 128

Calls

4 calls:

17.0ms	(.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))))))
9.0ms	(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))

series993.0ms (19.3%)

Counts

4 → 12

Calls

4 calls:

412.0ms	(.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))))))
282.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
262.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
37.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5036	3547

prune203.0ms (3.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	139	14	153

Merged error: 5.9b

Counts

153 → 14

Compiler

Compiled 3771 to 2434 computations (35.5% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (cbrt.f64 1/2) (sqrt.f64 (sqrt.f64 (log.f64 10))))
1.0b	(sqrt.f64 (sqrt.f64 (log.f64 10)))
1.0b	(sqrt.f64 (sqrt.f64 (log.f64 10)))
28.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`sqrt-prod_binary64_92`
60×	`times-frac_binary64_83`
56×	`add-sqr-sqrt_binary64_98`
52×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
33×	`cbrt-prod_binary64_105`
18×	`pow1_binary64_135`
10×	`associate-/r*_binary64_23` `log-pow_binary64_163`
8×	`sqrt-pow1_binary64_94`
7×	`add-exp-log_binary64_112`
6×	`associate-/l*_binary64_24`
5×	`add-cbrt-cube_binary64_110`
4×	`add-log-exp_binary64_113` `rem-sqrt-square_binary64_90` `pow1/2_binary64_154`
3×	`log-prod_binary64_160`
2×	`log-div_binary64_161`
1×	`rem-log-exp_binary64_115` `flip-+_binary64_51` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `div-exp_binary64_125` `clear-num_binary64_76` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

4 → 142

Calls

4 calls:

7.0ms	(/.f64 (cbrt.f64 1/2) (sqrt.f64 (sqrt.f64 (log.f64 10))))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
2.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))
2.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))

series58.0ms (1.1%)

Counts

4 → 6

Calls

4 calls:

57.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))
0.0ms	(/.f64 (cbrt.f64 1/2) (sqrt.f64 (sqrt.f64 (log.f64 10))))
0.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5012	2743

prune365.0ms (7.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	148	14	162

Merged error: 5.9b

Counts

162 → 14

Compiler

Compiled 5495 to 4293 computations (21.9% saved)

regimes489.0ms (9.5%)

Compiler: Compiled 3101 to 2811 computations (9.4% saved)

bsearch104.0ms (2%)

Steps

Iters	Range		Point
10	8.790082472118657e+117	2.0336184176255243e+132	7.7571798384429e+129
6	-1.2303485811556335e-193	-1.0084113324190472e-194	-1.199094603442337e-193
5	-4.381084709780498e-175	-1.343262370969035e-175	-1.376243184252727e-175
11	-6.638530666559914e+75	-1.0685370170991047e+44	-6.5452086884385746e+75

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	232
1	71	232

end0.0ms (0%)

sample1.2s (22.5%)

Algorithm

1×

intervals

Results

518.0ms

8000×

body

128

valid

Compiler

Compiled 437 to 405 computations (7.3% saved)

Details

analyze5.0ms (0.1%)

sample23.0ms (0.4%)

simplify164.0ms (3.2%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite24.0ms (0.5%)

series220.0ms (4.3%)

simplify77.0ms (1.5%)

prune114.0ms (2.2%)

localize13.0ms (0.2%)

rewrite65.0ms (1.3%)

series404.0ms (7.9%)

simplify100.0ms (1.9%)

prune251.0ms (4.9%)

localize19.0ms (0.4%)

rewrite50.0ms (1%)

series993.0ms (19.3%)

simplify89.0ms (1.7%)

prune203.0ms (3.9%)

localize21.0ms (0.4%)

rewrite35.0ms (0.7%)

series58.0ms (1.1%)

simplify82.0ms (1.6%)

prune365.0ms (7.1%)

regimes489.0ms (9.5%)

bsearch104.0ms (2%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (22.5%)

Profiling