Details

analyze5.0ms

Algorithm

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

sample22.0ms

Algorithm

intervals

Results

15.0ms

256×

body

128

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	19
1	12	19

prune1.0ms

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: 33.7b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
31.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac_binary64`
22×	`log-pow_binary64`
20×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`sqrt-prod_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `div-sub_binary64` `log-div_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 63

Calls

2 calls:

9.0ms	(/.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)))

series177.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
43.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify86.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	6084	1640

prune78.0ms

Filtered

45 candidates to 69 candidates (-53.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	55	14	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	14	70

Merged error: 7.2b

Counts

70 → 14

localize10.0ms

Local error

Found 3 expressions with local error:

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))))
32.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac_binary64`
71×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
46×	`pow1_binary64`
43×	`log-pow_binary64`
24×	`associate-/r*_binary64`
11×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `log-prod_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`

Counts

3 → 148

Calls

3 calls:

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

series366.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/.f64 1/2 (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
179.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
57.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify99.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4961	4669
1	4961	4669

prune134.0ms

Filtered

99 candidates to 157 candidates (-58.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	150	7	157
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	159	12	171

Merged error: 7.2b

Counts

171 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (log.f64 10))
1.0b	(cbrt.f64 (log.f64 10))
1.6b	(*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))
32.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
9×	`swap-sqr_binary64` `log-pow_binary64`
8×	`pow1/3_binary64`
7×	`associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
3×	`log-prod_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `pow-plus_binary64` `prod-exp_binary64` `flip-+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt.f64 (log.f64 10))
1.0ms	(cbrt.f64 (log.f64 10))
7.0ms	(*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series54.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt.f64 (log.f64 10))
0.0ms	(cbrt.f64 (log.f64 10))
0.0ms	(*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))
53.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify94.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4907	1027
1	4907	1027

prune113.0ms

Filtered

57 candidates to 89 candidates (-56.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	86	15	101

Merged error: 7.1b

Counts

101 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.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 (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))))
32.3b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

476×	`times-frac_binary64`
249×	`add-sqr-sqrt_binary64`
217×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
135×	`sqrt-prod_binary64`
125×	`associate-r_binary64`
121×	`pow1_binary64`
115×	`log-pow_binary64`
24×	`associate-/r*_binary64`
21×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`div-inv_binary64`
10×	`unswap-sqr_binary64` `associate-/l*_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

4 → 368

Calls

4 calls:

10.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
41.0ms	(.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
4.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
217.0ms	(.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
160.0ms	(/.f64 (log.f64 10) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
55.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify189.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4926	11896
1	4926	11896

prune289.0ms

Filtered

184 candidates to 380 candidates (-106.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	374	6	380
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	377	18	395

Merged error: 7.0b

Counts

395 → 18

regimes497.0ms

Accuracy

57.6% (10.6b remaining)

Error of 17.9b against oracle of 7.3b and baseline of 32.3b

bsearch55.0ms

Steps

Iters	Range		Point
10	2.89342557004708e+60	2.9341977850967534e+71	3.234431479514519e+70
8	-2.8728121066235355e+74	-4.059512531943262e+71	-2.8311489939222134e+74

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	119
1	43	119

end0.0ms

sample622.0ms

Algorithm

intervals

Results

481.0ms

8000×

body

128

valid

Details

analyze5.0ms

sample22.0ms

simplify8.0ms

prune1.0ms

localize14.0ms

rewrite19.0ms

series177.0ms

simplify86.0ms

prune78.0ms

localize10.0ms

rewrite34.0ms

series366.0ms

simplify99.0ms

prune134.0ms

localize18.0ms

rewrite23.0ms

series54.0ms

simplify94.0ms

prune113.0ms

localize15.0ms

rewrite117.0ms

series599.0ms

simplify189.0ms

prune289.0ms

regimes497.0ms

bsearch55.0ms

simplify3.0ms

end0.0ms

sample622.0ms

Profiling