Details

analyze428.0ms

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

sample38.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
3.0ms	34×	body	80	nan

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4956	6
1	4956	6

prune9.0ms

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: 0.3b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4844	330
1	4844	330

prune44.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	22	12	34
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	23	13	36

Merged error: 0.1b

Counts

36 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.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:

4.0ms	(/.f64 1 (log.f64 base))
8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 1 (log.f64 base))
14.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5163	556

prune52.0ms

Filtered

35 candidates to 80 candidates (-128.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	77	16	93

Merged error: 0.0b

Counts

93 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac_binary64`
106×	`add-sqr-sqrt_binary64`
101×	`cbrt-prod_binary64`
88×	`*-un-lft-identity_binary64`
84×	`add-cube-cbrt_binary64`
49×	`associate-r_binary64`
46×	`unpow-prod-down_binary64` `cube-prod_binary64`
29×	`pow1_binary64`
22×	`log-pow_binary64`
16×	`add-exp-log_binary64`
14×	`associate-/r*_binary64`
13×	`sqr-pow_binary64`
11×	`unpow3_binary64` `cube-mult_binary64`
10×	`unswap-sqr_binary64`
8×	`add-cbrt-cube_binary64`
6×	`div-exp_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-div_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `inv-pow_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 235

Calls

4 calls:

16.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
6.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
6.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
3.0ms	(pow.f64 (log.f64 base) 3)

series68.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
24.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
13.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
19.0ms	(pow.f64 (log.f64 base) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5043	2477

prune115.0ms

Filtered

105 candidates to 247 candidates (-135.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	242	5	247
Fresh	5	8	13
Picked	1	0	1
Done	1	1	2
Total	249	14	263

Merged error: 0.0b

Counts

263 → 14

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod_binary64`
17×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
16×	`unpow-prod-down_binary64` `cube-prod_binary64`
12×	`pow1_binary64`
9×	`add-exp-log_binary64`
8×	`log-pow_binary64`
6×	`add-cbrt-cube_binary64`
4×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-exp_binary64`

Counts

3 → 97

Calls

3 calls:

8.0ms	(/.f64 (*.f64 (cbrt.f64 1) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
2.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))
3.0ms	(pow.f64 (log.f64 base) 3)

series33.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 (*.f64 (cbrt.f64 1) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
7.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))
14.0ms	(pow.f64 (log.f64 base) 3)

simplify28.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4976	770
1	4976	770

prune36.0ms

Filtered

50 candidates to 106 candidates (-112.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	106	14	120

Merged error: 0.0b

Counts

120 → 14

regimes236.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	8
1	10	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

771.0ms	8000×	body	80	valid
98.0ms	1056×	body	80	nan

Details

analyze428.0ms

sample38.0ms

simplify107.0ms

prune9.0ms

localize6.0ms

rewrite4.0ms

series12.0ms

simplify83.0ms

prune44.0ms

localize8.0ms

rewrite14.0ms

series28.0ms

simplify50.0ms

prune52.0ms

localize11.0ms

rewrite41.0ms

series68.0ms

simplify63.0ms

prune115.0ms

localize11.0ms

rewrite16.0ms

series33.0ms

simplify28.0ms

prune36.0ms

regimes236.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling