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

prune5.0ms

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: 35.8b

Counts

2 → 1

localize11.0ms

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))
33.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite20.0ms

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

series181.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
42.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify84.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	6084	1640

prune81.0ms

Filtered

45 candidates to 69 candidates (-53.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	57	12	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	12	70

Merged error: 9.5b

Counts

70 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

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)))

34.4b

(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac_binary64`
82×	`add-sqr-sqrt_binary64`
54×	`sqrt-prod_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
33×	`pow1_binary64`
32×	`associate-r_binary64`
28×	`log-pow_binary64`
25×	`associate-l_binary64`
18×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64` `log-div_binary64`
3×	`add-log-exp_binary64` `log-prod_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `div-sub_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 153

Calls

3 calls:

29.0ms

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))

12.0ms

(/.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)))

series339.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms

(*.f64 (/.f64 1/2 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (log.f64 10))))

159.0ms

(/.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)))

simplify97.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4981	4482
1	4981	4482

prune146.0ms

Filtered

94 candidates to 162 candidates (-72.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	154	8	162
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	162	12	174

Merged error: 9.3b

Counts

174 → 12

localize19.0ms

Local error

Found 3 expressions with local error:

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))))))

16.7b

(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))

18.5b

(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
44×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`pow-unpow_binary64` `associate-l_binary64` `sqrt-prod_binary64`
21×	`log-prod_binary64`
12×	`pow1_binary64` `unpow-prod-down_binary64`
11×	`add-exp-log_binary64`
8×	`log-pow_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64` `sqr-pow_binary64`
3×	`add-log-exp_binary64` `rem-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 117

Calls

3 calls:

16.0ms

(*.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))))))

6.0ms

(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))))

series923.0ms

Counts

3 → 9

Calls

3 calls:

391.0ms

(*.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))))))

267.0ms

(log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10)))))

264.0ms

(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (sqrt.f64 (log.f64 10))))

simplify86.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5008	3350

prune120.0ms

Filtered

75 candidates to 126 candidates (-68.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	125	13	138

Merged error: 9.3b

Counts

138 → 13

localize21.0ms

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)))
34.4b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

101×	`sqrt-prod_binary64`
60×	`times-frac_binary64`
56×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
33×	`cbrt-prod_binary64`
18×	`pow1_binary64`
10×	`associate-/r*_binary64` `log-pow_binary64`
8×	`sqrt-pow1_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64`
3×	`log-prod_binary64`
2×	`log-div_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 142

Calls

4 calls:

8.0ms	(/.f64 (cbrt.f64 1/2) (sqrt.f64 (sqrt.f64 (log.f64 10))))
2.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))
3.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))
5.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

series55.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/.f64 (cbrt.f64 1/2) (sqrt.f64 (sqrt.f64 (log.f64 10))))
0.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))
0.0ms	(sqrt.f64 (sqrt.f64 (log.f64 10)))
54.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify83.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5016	2743

prune204.0ms

Filtered

87 candidates to 148 candidates (-70.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	145	16	161

Merged error: 9.2b

Counts

161 → 16

regimes445.0ms

Accuracy

58.8% (10.0b remaining)

Error of 17.5b against oracle of 7.5b and baseline of 31.8b

bsearch53.0ms

Steps

Iters	Range		Point
10	2.597210609873812e+87	2.1224421922019382e+101	1.6162243242536524e+94
8	-3.969927176682665e+106	-1.4736429069668907e+103	-4.685897936873047e+105

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	139
1	50	139

end0.0ms

sample629.0ms

Algorithm

intervals

Results

487.0ms

8000×

body

128

valid

Details

analyze5.0ms

sample22.0ms

simplify8.0ms

prune5.0ms

localize11.0ms

rewrite20.0ms

series181.0ms

simplify84.0ms

prune81.0ms

localize13.0ms

rewrite67.0ms

series339.0ms

simplify97.0ms

prune146.0ms

localize19.0ms

rewrite46.0ms

series923.0ms

simplify86.0ms

prune120.0ms

localize21.0ms

rewrite38.0ms

series55.0ms

simplify83.0ms

prune204.0ms

regimes445.0ms

bsearch53.0ms

simplify3.0ms

end0.0ms

sample629.0ms

Profiling