Details

analyze448.0ms

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

25.0ms	256×	body	80	valid
2.0ms	25×	body	80	nan

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	4829	28
1	4829	28

prune4.0ms

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: 31.6b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0.0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0.0 0.0)))
0.4b	(*.f64 (atan2.f64 im re) (log.f64 base))
0.5b	(*.f64 (log.f64 base) (log.f64 base))
29.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
21×	`pow1_binary64`
12×	`log-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`associate-r_binary64`
7×	`log-pow_binary64` `associate-l_binary64`
6×	`swap-sqr_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `sqrt-prod_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `sqrt-div_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `pow-prod-up_binary64` `cbrt-undiv_binary64` `pow-plus_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-sqr_binary64` `flip--_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0.0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0.0 0.0)))
7.0ms	(*.f64 (atan2.f64 im re) (log.f64 base))
5.0ms	(*.f64 (log.f64 base) (log.f64 base))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0.0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0.0 0.0)))
10.0ms	(*.f64 (atan2.f64 im re) (log.f64 base))
17.0ms	(*.f64 (log.f64 base) (log.f64 base))
7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5314	1828

prune169.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	110	10	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Merged error: 0.1b

Counts

121 → 10

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(/.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))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4844	330
1	4844	330

prune72.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	25	9	34
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	30	14	44

Merged error: 0.0b

Counts

44 → 14

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)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/.f64 1 (log.f64 base))
13.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify66.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4891	556
1	4891	556

prune82.0ms

Filtered

38 candidates to 80 candidates (-110.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	80	14	94

Merged error: 0.0b

Counts

94 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

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

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
13.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
5.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
25.0ms	(pow.f64 (log.f64 base) 3)

simplify51.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4922	2477
1	4922	2477

prune133.0ms

Filtered

106 candidates to 247 candidates (-133.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	244	3	247
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	248	13	261

Merged error: 0b

Counts

261 → 13

regimes306.0ms

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

782.0ms	8000×	body	80	valid
97.0ms	1063×	body	80	nan

Details

analyze448.0ms

sample37.0ms

simplify199.0ms

prune4.0ms

localize19.0ms

rewrite30.0ms

series48.0ms

simplify58.0ms

prune169.0ms

localize6.0ms

rewrite4.0ms

series13.0ms

simplify82.0ms

prune72.0ms

localize8.0ms

rewrite14.0ms

series18.0ms

simplify66.0ms

prune82.0ms

localize11.0ms

rewrite41.0ms

series52.0ms

simplify51.0ms

prune133.0ms

regimes306.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling