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)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 25 to 23 computations (8% saved)

simplify164.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune3.0ms (0.1%)

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: 32.4b

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))
30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_773`
22×	`log-pow_binary64_856`
21×	`pow1_binary64_828`
17×	`add-sqr-sqrt_binary64_789`
16×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`associate-/l*_binary64_712` `pow1/2_binary64_847` `sqrt-pow1_binary64_785`
5×	`add-exp-log_binary64_805` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
4×	`associate-/r*_binary64_711` `sqrt-div_binary64_784`
3×	`flip-+_binary64_741` `sqrt-prod_binary64_783` `flip3-+_binary64_770`
2×	`log-div_binary64_854` `div-sub_binary64_772`
1×	`frac-2neg_binary64_778` `rem-sqrt-square_binary64_780` `cbrt-undiv_binary64_801` `+-commutative_binary64_697` `sum-log_binary64_858` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

3 → 74

Calls

3 calls:

9.0ms	(/.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)))

series218.0ms (4%)

Counts

3 → 9

Calls

3 calls:

139.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
44.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
35.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4931	1833
1	4931	1833

prune317.0ms (5.8%)

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: 7.5b

Counts

84 → 14

Compiler

Compiled 6060 to 3235 computations (46.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 10))
30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite83.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`pow1_binary64_828`
94×	`log-pow_binary64_856`
72×	`times-frac_binary64_773`
60×	`sqrt-div_binary64_784`
54×	`cbrt-div_binary64_799`
45×	`pow1/3_binary64_849` `pow-prod-up_binary64_837`
34×	`add-sqr-sqrt_binary64_789`
31×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
30×	`pow-plus_binary64_830` `flip-+_binary64_741` `flip3-+_binary64_770`
28×	`frac-times_binary64_777`
26×	`log-div_binary64_854` `div-sub_binary64_772`
25×	`pow-prod-down_binary64_838`
18×	`associate-/l*_binary64_712`
15×	`pow-sqr_binary64_740`
14×	`associate-*l/_binary64_710`
10×	`pow2_binary64_848`
9×	`sqrt-prod_binary64_783`
8×	`associate-*r/_binary64_709`
6×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
5×	`pow3_binary64_850`
4×	`associate-/r*_binary64_711` `add-log-exp_binary64_806`
3×	`rem-sqrt-square_binary64_780` `pow1/2_binary64_847` `sqrt-pow1_binary64_785`
1×	`frac-2neg_binary64_778` `cbrt-undiv_binary64_801` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

4 → 177

Calls

4 calls:

32.0ms	(/.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 10))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series270.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(/.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 10))
43.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
42.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
39.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify159.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4898	5691
1	4898	5691

prune275.0ms (5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	187	2	189
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	190	13	203

Merged error: 7.4b

Counts

203 → 13

Compiler

Compiled 6574 to 2812 computations (57.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3 (/.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 10)))
0.5b	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.6b	(/.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 10))
30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`times-frac_binary64_773`
35×	`add-sqr-sqrt_binary64_789`
29×	`log-pow_binary64_856` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
27×	`pow1_binary64_828`
24×	`associate-r_binary64_707`
11×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
10×	`pow1/3_binary64_849`
6×	`sqrt-prod_binary64_783` `cbrt-prod_binary64_798` `sqrt-div_binary64_784`
5×	`associate-/l*_binary64_712`
4×	`associate-/r*_binary64_711` `add-log-exp_binary64_806` `cbrt-div_binary64_799`
3×	`associate-l_binary64_708` `flip-+_binary64_741` `flip3-+_binary64_770`
2×	`unswap-sqr_binary64_735` `log-div_binary64_854` `cbrt-undiv_binary64_801` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `div-exp_binary64_818` `div-sub_binary64_772` `div-inv_binary64_764`
1×	`frac-2neg_binary64_778` `rem-sqrt-square_binary64_780` `-commutative_binary64_698` `pow1/2_binary64_847` `associate-r/_binary64_709` `sqrt-pow1_binary64_785` `pow-prod-down_binary64_838` `clear-num_binary64_766`

Counts

4 → 117

Calls

4 calls:

12.0ms	(.f64 3 (/.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 10)))
10.0ms	(/.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 10))
5.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series556.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

203.0ms	(.f64 3 (/.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 10)))
188.0ms	(/.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 10))
124.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
41.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4924	2982
1	4924	2982

prune563.0ms (10.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	119	10	129
Fresh	5	7	12
Picked	0	1	1
Done	0	0	0
Total	124	18	142

Merged error: 7.4b

Counts

142 → 18

Compiler

Compiled 6963 to 4131 computations (40.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(/.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))))
31.2b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_773`
72×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
47×	`pow1_binary64_828`
43×	`log-pow_binary64_856`
24×	`associate-/r*_binary64_711`
12×	`add-exp-log_binary64_805`
11×	`add-cbrt-cube_binary64_803`
7×	`associate-/l*_binary64_712`
6×	`add-log-exp_binary64_806` `div-inv_binary64_764`
4×	`cbrt-undiv_binary64_801` `div-exp_binary64_818`
3×	`log-prod_binary64_853`
2×	`frac-2neg_binary64_778` `log-div_binary64_854` `flip-+_binary64_741` `flip3-+_binary64_770` `clear-num_binary64_766`
1×	`associate-/r/_binary64_713` `+-commutative_binary64_697` `sum-log_binary64_858` `rem-log-exp_binary64_808`

Counts

4 → 159

Calls

4 calls:

10.0ms	(/.f64 1/2 (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
4.0ms	(+.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))))

series428.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
149.0ms	(/.f64 1/2 (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
61.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
44.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify106.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4934	4862
1	4934	4862

prune437.0ms (8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	6	10	16
Picked	1	0	1
Done	0	1	1
Total	172	17	189

Merged error: 7.3b

Counts

189 → 17

Compiler

Compiled 7966 to 4931 computations (38.1% saved)

regimes449.0ms (8.2%)

Compiler: Compiled 2250 to 2008 computations (10.8% saved)

bsearch82.0ms (1.5%)

Steps

Iters	Range		Point
9	8.482977419145558e+130	1.8716247346181624e+139	8.602806491746828e+130
9	6.7488737044403504e-167	7.013602102447904e-161	8.96470249214571e-167
7	2.213514116032346e-204	1.8109897633862373e-202	1.5818348111842102e-202
7	-1.1573786927860535e+151	-2.839719981620999e+149	-2.8827138647577603e+149

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	116
1	49	116

end0.0ms (0%)

sample1.0s (18.5%)

Algorithm

1×

intervals

Results

518.0ms

8000×

body

128

valid

Compiler

Compiled 293 to 260 computations (11.3% saved)

Details

analyze5.0ms (0.1%)

sample24.0ms (0.4%)

simplify164.0ms (3%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite24.0ms (0.4%)

series218.0ms (4%)

simplify95.0ms (1.7%)

prune317.0ms (5.8%)

localize16.0ms (0.3%)

rewrite83.0ms (1.5%)

series270.0ms (4.9%)

simplify159.0ms (2.9%)

prune275.0ms (5%)

localize13.0ms (0.2%)

rewrite43.0ms (0.8%)

series556.0ms (10.1%)

simplify73.0ms (1.3%)

prune563.0ms (10.3%)

localize11.0ms (0.2%)

rewrite41.0ms (0.7%)

series428.0ms (7.8%)

simplify106.0ms (1.9%)

prune437.0ms (8%)

regimes449.0ms (8.2%)

bsearch82.0ms (1.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (18.5%)

Profiling