Details

analyze584.0ms (9.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4994	76
1	4994	76
0	3	3
1	3	3

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 29 to 21 computations (27.6% saved)

sample42.0ms (0.7%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	128	valid
3.0ms	31×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify109.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5740	19

prune5.0ms (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

29.4b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize11.0ms (0.2%)

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))
27.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
21×	`pow1_binary64_480`
17×	`add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `associate-/l*_binary64_364`
5×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
4×	`sqrt-div_binary64_436` `associate-/r*_binary64_363`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `sqrt-prod_binary64_435`
2×	`log-div_binary64_506` `div-sub_binary64_424`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `sum-log_binary64_510` `frac-2neg_binary64_430` `rem-sqrt-square_binary64_432` `+-commutative_binary64_349` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

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))

series141.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
24.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
19.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5313	1833

prune93.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	11	85

Error

0.5b

Counts

85 → 11

Compiler

Compiled 1737 to 449 computations (74.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`times-frac_binary64_425`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow1_binary64_480`
10×	`log-pow_binary64_508`
4×	`associate-/r_binary64_363` `associate-/l_binary64_364`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
1×	`clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `frac-2neg_binary64_430` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

1 → 36

Calls

1 calls:

5.0ms

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

series72.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4894	641
1	4894	641

prune44.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	35	15	50

Error

0.5b

Counts

50 → 15

Compiler

Compiled 689 to 266 computations (61.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
0.3b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_425`
69×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
45×	`pow1_binary64_480`
42×	`log-pow_binary64_508`
24×	`associate-/r*_binary64_363`
15×	`add-exp-log_binary64_457`
9×	`add-cbrt-cube_binary64_455`
8×	`div-exp_binary64_470`
7×	`associate-/l*_binary64_364`
6×	`div-inv_binary64_416`
4×	`cbrt-undiv_binary64_453`
2×	`clear-num_binary64_418` `1-exp_binary64_463` `add-log-exp_binary64_458` `rec-exp_binary64_469` `frac-2neg_binary64_430`
1×	`inv-pow_binary64_504` `associate-/r/_binary64_365` `pow-flip_binary64_493`

Counts

2 → 140

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
4.0ms	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))

series154.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
74.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5076	2858

prune114.0ms (1.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	144	17	161

Error

0.4b

Counts

161 → 17

Compiler

Compiled 2389 to 745 computations (68.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

688×	`times-frac_binary64_425`
293×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
115×	`pow1_binary64_480`
110×	`log-pow_binary64_508`
51×	`add-exp-log_binary64_457`
37×	`div-inv_binary64_416`
36×	`div-exp_binary64_470`
24×	`associate-/r*_binary64_363`
22×	`associate-/l*_binary64_364`
19×	`add-cbrt-cube_binary64_455`
10×	`1-exp_binary64_463` `rec-exp_binary64_469` `cbrt-undiv_binary64_453`
3×	`clear-num_binary64_418` `add-log-exp_binary64_458` `frac-2neg_binary64_430`
2×	`inv-pow_binary64_504` `pow-flip_binary64_493`
1×	`associate-/r/_binary64_365` `associate-/l/_binary64_366`

Counts

3 → 390

Calls

3 calls:

16.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
3.0ms	(/.f64 1 (log.f64 base))
3.0ms	(/.f64 1 (log.f64 (neg.f64 re)))

series242.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(/.f64 1 (log.f64 (neg.f64 re)))
84.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
73.0ms	(/.f64 1 (log.f64 base))

simplify147.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

399 → 399

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4954	9778
1	4954	9778

prune361.0ms (6.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	395	4	399
Fresh	3	11	14
Picked	1	0	1
Done	1	1	2
Total	400	16	416

Error

0.4b

Counts

416 → 16

Compiler

Compiled 6931 to 2895 computations (58.2% saved)

regimes1.2s (20.1%)

Accuracy

Total 7.2b remaining (95.2%)

Threshold costs 0b (0%)

Compiler

Compiled 4416 to 3231 computations (26.8% saved)

bsearch201.0ms (3.4%)

Steps

Iters	Range		Point
9	143282839004747.7	8.639754932219678e+19	8.501744324228661e+19
9	4.384252261613938e-163	1.973948953727056e-154	4.4622478854915836e-163

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	49
1	31	49

Compiler

Compiled 62 to 42 computations (32.3% saved)

end0.0ms (0%)

sample2.0s (33.8%)

Algorithm

1×

intervals

Results

808.0ms	8000×	body	128	valid
92.0ms	983×	body	128	nan

Compiler

Compiled 930 to 678 computations (27.1% saved)

Details

analyze584.0ms (9.8%)

sample42.0ms (0.7%)

simplify109.0ms (1.8%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

rewrite21.0ms (0.4%)

series141.0ms (2.4%)

simplify78.0ms (1.3%)

prune93.0ms (1.6%)

localize7.0ms (0.1%)

rewrite7.0ms (0.1%)

series72.0ms (1.2%)

simplify91.0ms (1.5%)

prune44.0ms (0.7%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series154.0ms (2.6%)

simplify94.0ms (1.6%)

prune114.0ms (1.9%)

localize9.0ms (0.2%)

rewrite67.0ms (1.1%)

series242.0ms (4.1%)

simplify147.0ms (2.5%)

prune361.0ms (6.1%)

regimes1.2s (20.1%)

bsearch201.0ms (3.4%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.0s (33.8%)

Profiling