Details

analyze584.0ms (7.8%)

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
2.0ms	21×	body	128	nan

Compiler

Compiled 66 to 44 computations (33.3% saved)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-/l/_binary64`
557×	`cube-prod_binary64`
533×	`sqr-pow_binary64`
519×	`cube-div_binary64`
502×	`pow-sqr_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	24	29
2	27	29
3	38	22
4	55	19
5	58	19
6	169	19
7	466	19
8	668	19
9	738	19
10	1132	19
11	1422	19
12	2240	19
13	3370	19
14	3924	19
15	4394	19
16	4986	19
17	4975	19

prune9.0ms (0.1%)

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

Error

29.6b

Counts

2 → 2

Alt Table

Status	Error	Program
	29.7b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
▶	29.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))

Status

Error

Program

29.7b

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))

▶

29.6b

(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))

Compiler

Compiled 107 to 70 computations (34.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
27.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite110.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

24×	`times-frac_binary64`
22×	`log-pow_binary64`
21×	`pow1_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`

Counts

3 → 74

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1396 to 277 computations (80.2% saved)

series166.0ms (2.2%)

Error

0.3b

Counts

3 → 45

Calls

3 calls:

76.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
40.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
25.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1672 to 1245 computations (25.5% saved)

simplify182.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

477×	`unswap-sqr_binary64`
301×	`distribute-neg-frac_binary64`
291×	`times-frac_binary64`
276×	`associate-r_binary64`
271×	`associate-l_binary64`

Counts

119 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2540
1	391	2410
2	984	2398
3	3444	2398
4	4876	2398
5	4982	2398
6	4992	2398
7	4929	2398

prune51.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	65	8	73

Error

1.2b

Counts

73 → 8

Alt Table

Status	Error	Program
	29.7b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
	30.1b	(.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base)))
	62.3b	(/.f64 (log.f64 re) (log.f64 base))
▶	28.7b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
	34.4b	(/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (.f64 re re) im)))) (log.f64 base))
	53.3b	(-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 6) (pow.f64 im 6)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 4) (-.f64 (pow.f64 im 4) (.f64 (.f64 re re) (*.f64 im im)))))) (log.f64 base)))
	44.9b	(.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base)))
	29.8b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))

Compiler

Compiled 1067 to 491 computations (54% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

16×	`times-frac_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`log-pow_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

1 → 36

Calls

1 calls:

5.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 370 to 89 computations (75.9% saved)

series48.0ms (0.6%)

Error

1.2b

Counts

1 → 6

Calls

1 calls:

45.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 201 to 158 computations (21.4% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

587×	`neg-sub0_binary64`
554×	`neg-mul-1_binary64`
512×	`distribute-lft-neg-out_binary64`
494×	`unsub-neg_binary64`
460×	`distribute-frac-neg_binary64`

Counts

42 → 20

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	745
1	132	676
2	255	676
3	588	676
4	2344	675
5	3572	675
6	4930	675

prune24.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	17	11	28

Error

1.2b

Counts

28 → 11

Alt Table

Status	Error	Program
▶	28.8b	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
	29.7b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
	30.1b	(.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base)))
	62.3b	(/.f64 (log.f64 re) (log.f64 base))
✓	28.7b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
	29.2b	(.f64 (.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (cbrt.f64 (log.f64 (neg.f64 re)))) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
	34.4b	(/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (.f64 re re) im)))) (log.f64 base))
	53.3b	(-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 6) (pow.f64 im 6)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 4) (-.f64 (pow.f64 im 4) (.f64 (.f64 re re) (*.f64 im im)))))) (log.f64 base)))
	38.7b	(*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
	44.9b	(.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base)))
	29.8b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))

Compiler

Compiled 538 to 302 computations (43.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
0.4b	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))

rewrite92.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

27×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`unpow-prod-down_binary64`
16×	`pow-unpow_binary64`
14×	`log-prod_binary64`

Counts

3 → 97

Calls

3 calls:

5.0ms	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))
3.0ms	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
3.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 1288 to 718 computations (44.3% saved)

series142.0ms (1.9%)

Error

1.2b

Counts

3 → 15

Calls

3 calls:

68.0ms	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
48.0ms	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))
18.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 516 to 427 computations (17.2% saved)

simplify136.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-in_binary64`
435×	`log-prod_binary64`
188×	`log-pow_binary64`
170×	`unswap-sqr_binary64`
167×	`times-frac_binary64`

Counts

112 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1616
1	256	1458
2	568	1392
3	1669	1380
4	4480	1380
5	4922	1380
6	4997	1380

prune49.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	77	14	91

Error

1.1b

Counts

91 → 14

Alt Table

Status	Error	Program
	29.7b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
	29.2b	(log.f64 (pow.f64 (pow.f64 (neg.f64 re) (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))))) (/.f64 (cbrt.f64 1) (cbrt.f64 (log.f64 base)))))
	30.1b	(.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base)))
	29.4b	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))))
	62.3b	(/.f64 (log.f64 re) (log.f64 base))
✓	28.7b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
	29.0b	(log.f64 (pow.f64 (neg.f64 re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))
▶	28.8b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))
	29.2b	(.f64 (.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (cbrt.f64 (log.f64 (neg.f64 re)))) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
	34.4b	(/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (.f64 re re) im)))) (log.f64 base))
	53.3b	(-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 6) (pow.f64 im 6)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 4) (-.f64 (pow.f64 im 4) (.f64 (.f64 re re) (*.f64 im im)))))) (log.f64 base)))
	38.7b	(*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
	44.9b	(.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base)))
	29.8b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))

Compiler

Compiled 1076 to 582 computations (45.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))
0.3b	(*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base)))
0.6b	(cbrt.f64 (neg.f64 re))
0.6b	(cbrt.f64 (neg.f64 re))

rewrite94.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

24×	`add-sqr-sqrt_binary64`
20×	`cbrt-prod_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-r_binary64`
13×	`times-frac_binary64`

Counts

4 → 86

Calls

4 calls:

10.0ms	(+.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))
8.0ms	(*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base)))
2.0ms	(cbrt.f64 (neg.f64 re))
1.0ms	(cbrt.f64 (neg.f64 re))

Compiler

Compiled 1978 to 646 computations (67.3% saved)

series225.0ms (3%)

Error

1.1b

Counts

4 → 18

Calls

4 calls:

91.0ms	(*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base)))
88.0ms	(+.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))
18.0ms	(cbrt.f64 (neg.f64 re))
17.0ms	(cbrt.f64 (neg.f64 re))

Compiler

Compiled 973 to 752 computations (22.7% saved)

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

441×	`associate-/l/_binary64`
377×	`associate-l_binary64`
359×	`associate-/r/_binary64`
291×	`associate-r_binary64`
238×	`associate-*r/_binary64`

Counts

104 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1859
1	361	1751
2	982	1676
3	2919	1463
4	4759	1463
5	4908	1463

prune52.0ms (0.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	67	16	83

Error

1.1b

Counts

83 → 16

Alt Table

Status	Error	Program
	46.3b	(exp.f64 (log.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))))
	29.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (neg.f64 re)))) (cbrt.f64 (log.f64 (cbrt.f64 (neg.f64 re))))) (*.f64 (/.f64 2 (log.f64 base)) (cbrt.f64 (log.f64 (cbrt.f64 (neg.f64 re)))))) (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))
	29.2b	(.f64 (.f64 (cbrt.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))) (cbrt.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base))))) (cbrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))))
	29.7b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
	30.1b	(.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base)))
	29.4b	(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))))
	62.3b	(/.f64 (log.f64 re) (log.f64 base))
	28.7b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
	29.0b	(log.f64 (pow.f64 (neg.f64 re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))
	28.8b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base)))
	29.2b	(.f64 (.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (cbrt.f64 (log.f64 (neg.f64 re)))) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
	34.4b	(/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (.f64 re re) im)))) (log.f64 base))
	53.3b	(-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 6) (pow.f64 im 6)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 4) (-.f64 (pow.f64 im 4) (.f64 (.f64 re re) (*.f64 im im)))))) (log.f64 base)))
	38.7b	(*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
	44.9b	(.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base)))
	29.8b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))

Compiler

Compiled 1242 to 550 computations (55.7% saved)

regimes3.0s (40.3%)

Accuracy

Total 5.3b remaining (73.1%)

Threshold costs 0b (0%)

Compiler

Compiled 15016 to 9096 computations (39.4% saved)

bsearch260.0ms (3.5%)

Steps

Iters	Range		Point
9	2.1857696287529643e+70	7.173642177077171e+79	1.2659745474754468e+79
5	9.999706440674206e-161	2.6813519837703257e-160	1.0164079588744982e-160
8	1.6412678326708672e-197	4.367053878847078e-194	1.670968222443666e-197

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`neg-sub0_binary64` `sub-neg_binary64`
2×	`neg-mul-1_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	84
1	47	84
2	52	84
3	56	84
4	59	84
5	60	84
6	59	84

end10.0ms (0.1%)

Compiler: Compiled 168 to 105 computations (37.5% saved)

sample1.8s (24%)

Algorithm

1×

intervals

Results

823.0ms	8000×	body	128	valid
95.0ms	992×	body	128	nan

Compiler

Compiled 449 to 273 computations (39.2% saved)

Details

analyze584.0ms (7.8%)

sample46.0ms (0.6%)

simplify115.0ms (1.5%)

prune9.0ms (0.1%)

localize10.0ms (0.1%)

rewrite110.0ms (1.5%)

series166.0ms (2.2%)

simplify182.0ms (2.4%)

prune51.0ms (0.7%)

localize8.0ms (0.1%)

rewrite29.0ms (0.4%)

series48.0ms (0.6%)

simplify76.0ms (1%)

prune24.0ms (0.3%)

localize9.0ms (0.1%)

rewrite92.0ms (1.2%)

series142.0ms (1.9%)

simplify136.0ms (1.8%)

prune49.0ms (0.7%)

localize12.0ms (0.2%)

rewrite94.0ms (1.3%)

series225.0ms (3%)

simplify119.0ms (1.6%)

prune52.0ms (0.7%)

regimes3.0s (40.3%)

bsearch260.0ms (3.5%)

simplify7.0ms (0.1%)

end10.0ms (0.1%)

sample1.8s (24%)

Profiling