Details

analyze435.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

sample37.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
3.0ms	36×	body	80	nan

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4958	9
1	4958	9

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `log-pow_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
1×	`add-log-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

simplify84.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4932	518
1	4932	518

prune32.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	24	10	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	12	36

Merged error: 0.0b

Counts

36 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
15×	`add-exp-log_binary64`
12×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
7×	`log-pow_binary64`
4×	`associate-/r*_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 74

Calls

2 calls:

3.0ms	(/.f64 1 (log.f64 base))
8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/.f64 1 (log.f64 base))
50.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify81.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5119	875

prune42.0ms

Filtered

39 candidates to 80 candidates (-105.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	78	14	92

Merged error: 0.0b

Counts

92 → 14

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.3b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64` `pow1_binary64`
16×	`log-pow_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 119

Calls

2 calls:

4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
9.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
57.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

simplify90.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5070	2327

prune60.0ms

Filtered

62 candidates to 125 candidates (-101.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	4	7	11
Picked	1	0	1
Done	0	2	2
Total	126	13	139

Merged error: 0.0b

Counts

139 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.6b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac_binary64`
85×	`add-sqr-sqrt_binary64`
84×	`cbrt-prod_binary64`
68×	`*-un-lft-identity_binary64`
66×	`add-cube-cbrt_binary64`
51×	`unpow-prod-down_binary64` `cube-prod_binary64`
41×	`associate-r_binary64`
31×	`pow1_binary64`
22×	`log-pow_binary64`
15×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`div-inv_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `div-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `associate-l_binary64` `cube-div_binary64` `associate-/l*_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`cbrt-div_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `inv-pow_binary64` `rem-cube-cbrt_binary64` `rec-exp_binary64` `pow-flip_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `pow1/3_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 204

Calls

4 calls:

3.0ms	(/.f64 1 (log.f64 base))
15.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
5.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)

series325.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/.f64 1 (log.f64 base))
47.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
74.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
124.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)

simplify84.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	2423
1	4944	2423

prune62.0ms

Filtered

74 candidates to 216 candidates (-191.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	3	7	10
Picked	1	0	1
Done	0	2	2
Total	217	12	229

Merged error: 0.0b

Counts

229 → 12

regimes115.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

776.0ms	8000×	body	80	valid
93.0ms	1028×	body	80	nan

Details

analyze435.0ms

sample37.0ms

simplify148.0ms

prune5.0ms

localize6.0ms

rewrite5.0ms

series53.0ms

simplify84.0ms

prune32.0ms

localize8.0ms

rewrite14.0ms

series123.0ms

simplify81.0ms

prune42.0ms

localize8.0ms

rewrite18.0ms

series109.0ms

simplify90.0ms

prune60.0ms

localize10.0ms

rewrite38.0ms

series325.0ms

simplify84.0ms

prune62.0ms

regimes115.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling