Details

analyze432.0ms (14.2%)

Algorithm

1×

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

sample41.0ms (1.3%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	80	valid
3.0ms	35×	body	80	nan

simplify198.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (195.0ms)

Iter	Nodes	Cost
0	4829	28
1	4829	28

prune7.0ms (0.2%)

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: 32.1b

Counts

2 → 1

localize18.0ms (0.6%)

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))
30.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite27.0ms (0.9%)

Algorithm

1×	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)))
5.0ms	(*.f64 (log.f64 base) (log.f64 base))
5.0ms	(*.f64 (atan2.f64 im re) (log.f64 base))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series49.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 (log.f64 base) (log.f64 base))
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))
8.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5314	1828

prune208.0ms (6.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	9	121

Merged error: 0.1b

Counts

121 → 9

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm

1×	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 (0.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4844	330
1	4844	330

prune72.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	32	11	43

Merged error: 0.0b

Counts

43 → 11

localize7.0ms (0.2%)

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 (0.5%)

Algorithm

1×	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:

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

series29.0ms (1%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 1 (log.f64 base))
13.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5163	556

prune110.0ms (3.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	79	12	91

Merged error: 0.0b

Counts

91 → 12

localize7.0ms (0.2%)

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)))

rewrite15.0ms (0.5%)

Algorithm

1×	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:

6.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

series29.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
13.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5126	1473

prune117.0ms (3.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	125	12	137

Merged error: 0.0b

Counts

137 → 12

regimes310.0ms (10.2%)

Accuracy

Total 0.3b remaining (87.7%)

Threshold costs 0.3b (87.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	8
1	10	8

end0.0ms (0%)

sample1.1s (35.9%)

Algorithm

1×

intervals

Results

793.0ms	8000×	body	80	valid
92.0ms	975×	body	80	nan

Details

analyze432.0ms (14.2%)

sample41.0ms (1.3%)

simplify198.0ms (6.5%)

prune7.0ms (0.2%)

localize18.0ms (0.6%)

rewrite27.0ms (0.9%)

series49.0ms (1.6%)

simplify59.0ms (1.9%)

prune208.0ms (6.8%)

localize6.0ms (0.2%)

rewrite4.0ms (0.1%)

series13.0ms (0.4%)

simplify80.0ms (2.6%)

prune72.0ms (2.4%)

localize7.0ms (0.2%)

rewrite14.0ms (0.5%)

series29.0ms (1%)

simplify49.0ms (1.6%)

prune110.0ms (3.6%)

localize7.0ms (0.2%)

rewrite15.0ms (0.5%)

series29.0ms (0.9%)

simplify51.0ms (1.7%)

prune117.0ms (3.8%)

regimes310.0ms (10.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.9%)

Profiling