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)

simplify163.0ms (2.6%)

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%)

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))
30.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_757`
22×	`log-pow_binary64_837`
21×	`pow1_binary64_809`
17×	`add-sqr-sqrt_binary64_772`
16×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
6×	`pow1/2_binary64_828` `associate-/l*_binary64_698` `sqrt-pow1_binary64_768`
5×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
4×	`associate-/r*_binary64_697` `sqrt-div_binary64_767`
3×	`flip3-+_binary64_754` `sqrt-prod_binary64_766` `flip-+_binary64_725`
2×	`log-div_binary64_835` `div-sub_binary64_756`
1×	`+-commutative_binary64_683` `rem-sqrt-square_binary64_764` `div-inv_binary64_748` `cbrt-undiv_binary64_782` `sum-log_binary64_839` `frac-2neg_binary64_762` `clear-num_binary64_750` `div-exp_binary64_799`

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

series221.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

141.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
46.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
35.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4884	1833
1	4884	1833

prune112.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	71	12	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	12	84

Merged error: 9.6b

Counts

84 → 12

Compiler

Compiled 1792 to 775 computations (56.8% 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)))
31.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite66.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`times-frac_binary64_757`
83×	`add-sqr-sqrt_binary64_772`
54×	`sqrt-prod_binary64_766`
53×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
34×	`pow1_binary64_809`
32×	`associate-r_binary64_693`
28×	`log-pow_binary64_837`
25×	`associate-l_binary64_694`
19×	`add-exp-log_binary64_786`
18×	`add-cbrt-cube_binary64_784`
9×	`unswap-sqr_binary64_719`
7×	`associate-/r*_binary64_697`
6×	`add-log-exp_binary64_787`
5×	`cbrt-undiv_binary64_782` `div-exp_binary64_799`
4×	`prod-exp_binary64_797` `log-div_binary64_835` `cbrt-unprod_binary64_781` `associate-/l*_binary64_698`
3×	`flip3-+_binary64_754` `log-prod_binary64_834` `div-inv_binary64_748` `flip-+_binary64_725`
2×	`div-sub_binary64_756`
1×	`frac-times_binary64_761` `+-commutative_binary64_683` `rem-log-exp_binary64_789` `pow-prod-down_binary64_819` `-commutative_binary64_684` `associate-r/_binary64_695` `sum-log_binary64_839` `frac-2neg_binary64_762` `clear-num_binary64_750` `associate-*l/_binary64_696`

Counts

4 → 164

Calls

4 calls:

28.0ms	(.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)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series406.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
141.0ms	(.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))
56.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
44.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4939	4675
1	4939	4675

prune260.0ms (4.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	166	10	176
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	174	14	188

Merged error: 9.4b

Counts

188 → 14

Compiler

Compiled 4786 to 2750 computations (42.5% saved)

localize19.0ms (0.3%)

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))))))
14.3b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
18.1b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_772`
44×	`times-frac_binary64_757`
40×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
25×	`associate-l_binary64_694` `sqrt-prod_binary64_766` `pow-unpow_binary64_825`
21×	`log-prod_binary64_834`
13×	`pow1_binary64_809`
12×	`unpow-prod-down_binary64_827` `add-exp-log_binary64_786`
9×	`add-cbrt-cube_binary64_784`
8×	`log-pow_binary64_837`
7×	`distribute-lft-in_binary64_702` `distribute-rgt-in_binary64_703`
6×	`add-log-exp_binary64_787`
4×	`sqr-pow_binary64_723` `associate-r_binary64_693`
3×	`rem-log-exp_binary64_789` `unswap-sqr_binary64_719`
2×	`prod-exp_binary64_797` `pow-to-exp_binary64_817` `pow-exp_binary64_816` `div-inv_binary64_748` `cbrt-unprod_binary64_781`
1×	`+-commutative_binary64_683` `flip3-+_binary64_754` `pow-prod-down_binary64_819` `-commutative_binary64_684` `pow-pow_binary64_820` `cbrt-undiv_binary64_782` `sum-log_binary64_839` `associate-l/_binary64_696` `flip-+_binary64_725` `div-exp_binary64_799`

Counts

4 → 128

Calls

4 calls:

18.0ms	(.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)))))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))

series961.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

397.0ms	(.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))))))
270.0ms	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))
257.0ms	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))
35.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5036	3547

prune205.0ms (3.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	139	15	154

Merged error: 9.4b

Counts

154 → 15

Compiler

Compiled 3806 to 2472 computations (35% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.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))))))
0.4b	(.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)))))
0.5b	(/.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)))

rewrite100.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`sqrt-prod_binary64_766`
112×	`times-frac_binary64_757`
107×	`add-sqr-sqrt_binary64_772`
69×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
60×	`associate-l_binary64_694`
42×	`pow1_binary64_809`
31×	`log-pow_binary64_837`
29×	`associate-r_binary64_693`
21×	`add-exp-log_binary64_786`
20×	`add-cbrt-cube_binary64_784`
12×	`unswap-sqr_binary64_719`
10×	`sqrt-div_binary64_767`
7×	`prod-exp_binary64_797` `associate-/r*_binary64_697` `cbrt-unprod_binary64_781`
6×	`frac-times_binary64_761` `associate-*r/_binary64_695`
4×	`log-div_binary64_835` `add-log-exp_binary64_787` `pow-prod-down_binary64_819` `div-inv_binary64_748` `associate-l/_binary64_696` `associate-/l_binary64_698`
3×	`log-prod_binary64_834` `cbrt-undiv_binary64_782` `div-exp_binary64_799`
2×	`flip3-+_binary64_754` `div-sub_binary64_756` `*-commutative_binary64_684` `flip-+_binary64_725`
1×	`rem-log-exp_binary64_789` `frac-2neg_binary64_762` `clear-num_binary64_750`

Counts

4 → 207

Calls

4 calls:

29.0ms	(.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)))))
24.0ms	(.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))))))
9.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
5.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series841.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

370.0ms	(.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)))))
239.0ms	(.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))))))
178.0ms	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (log.f64 10)))
53.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify129.0ms (2%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4950	7134
1	4950	7134

prune471.0ms (7.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	216	18	234

Merged error: 9.4b

Counts

234 → 18

Compiler

Compiled 7434 to 5058 computations (32% saved)

regimes513.0ms (8.1%)

Compiler: Compiled 3234 to 3098 computations (4.2% saved)

bsearch54.0ms (0.8%)

Steps

Iters	Range		Point
8	2.2660321260268467e+142	1.8248800370292256e+146	2.896264767177829e+142
9	-2.07617451340477e+152	-7.795130478179491e+142	-8.54260365148822e+142

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	48	110
1	48	110

end0.0ms (0%)

sample1.4s (21.7%)

Algorithm

1×

intervals

Results

696.0ms

8000×

body

128

valid

Compiler

Compiled 437 to 421 computations (3.7% saved)

Details

analyze5.0ms (0.1%)

sample23.0ms (0.4%)

simplify163.0ms (2.6%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite24.0ms (0.4%)

series221.0ms (3.5%)

simplify76.0ms (1.2%)

prune112.0ms (1.8%)

localize13.0ms (0.2%)

rewrite66.0ms (1%)

series406.0ms (6.4%)

simplify101.0ms (1.6%)

prune260.0ms (4.1%)

localize19.0ms (0.3%)

rewrite51.0ms (0.8%)

series961.0ms (15.2%)

simplify92.0ms (1.5%)

prune205.0ms (3.2%)

localize17.0ms (0.3%)

rewrite100.0ms (1.6%)

series841.0ms (13.3%)

simplify129.0ms (2%)

prune471.0ms (7.5%)

regimes513.0ms (8.1%)

bsearch54.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (21.7%)

Profiling