Details

analyze859.0ms (7.5%)

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

Symmetry

(sort re im)

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample69.0ms (0.6%)

Algorithm

1×

intervals

Results

39.0ms	256×	body	128	valid
4.0ms	32×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5740	19

prune8.0ms (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

33.3b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite104.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

33.2b

Rules

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

Counts

2 → 63

Calls

2 calls:

8.0ms	(/.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)))

Compiler

Compiled 1410 to 262 computations (81.4% saved)

series637.0ms (5.6%)

Error

0.6b

Counts

2 → 36

Calls

2 calls:

429.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
169.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1513 to 1197 computations (20.9% saved)

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4946	2319
1	4946	2319

prune130.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	88	11	99
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Error

0.5b

Counts

101 → 11

Compiler

Compiled 2006 to 581 computations (71% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (/.f64 -1 re))
0.2b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))

rewrite96.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

25×	`times-frac_binary64_425`
19×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
13×	`pow1_binary64_480` `log-prod_binary64_505`
11×	`log-pow_binary64_508`
7×	`add-exp-log_binary64_457`
4×	`add-cbrt-cube_binary64_455` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `add-log-exp_binary64_458` `log-div_binary64_506` `div-inv_binary64_416` `rem-log-exp_binary64_460`
1×	`cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418`

Counts

2 → 61

Calls

2 calls:

5.0ms	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
2.0ms	(log.f64 (/.f64 -1 re))

Compiler

Compiled 937 to 629 computations (32.9% saved)

series355.0ms (3.1%)

Error

0.5b

Counts

2 → 9

Calls

2 calls:

301.0ms	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
48.0ms	(log.f64 (/.f64 -1 re))

Compiler

Compiled 267 to 263 computations (1.5% saved)

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4859	1045
1	4859	1045

prune81.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	65	16	81

Error

0.4b

Counts

81 → 16

Compiler

Compiled 1206 to 812 computations (32.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) 2) (log.f64 (cbrt.f64 (/.f64 -1 re))))
0.2b	(/.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) 2) (log.f64 (cbrt.f64 (/.f64 -1 re)))) (log.f64 base))
0.6b	(cbrt.f64 (/.f64 -1 re))
0.6b	(cbrt.f64 (/.f64 -1 re))

rewrite216.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

39×	`cbrt-prod_binary64_450` `times-frac_binary64_425`
35×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
16×	`log-prod_binary64_505` `associate-+r+_binary64_351`
8×	`pow1_binary64_480`
6×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`add-log-exp_binary64_458`
4×	`cbrt-div_binary64_451` `div-inv_binary64_416` `log-pow_binary64_508` `associate-/r*_binary64_363`
3×	`associate-/l*_binary64_364`
2×	`pow1/3_binary64_501` `log-div_binary64_506` `associate-+r-_binary64_353` `flip3-+_binary64_422` `associate-/l/_binary64_366` `flip-+_binary64_393`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 106

Calls

4 calls:

8.0ms	(+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) 2) (log.f64 (cbrt.f64 (/.f64 -1 re))))
7.0ms	(/.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) 2) (log.f64 (cbrt.f64 (/.f64 -1 re)))) (log.f64 base))
2.0ms	(cbrt.f64 (/.f64 -1 re))
2.0ms	(cbrt.f64 (/.f64 -1 re))

Compiler

Compiled 2958 to 2298 computations (22.3% saved)

series893.0ms (7.8%)

Error

0.4b

Counts

4 → 15

Calls

4 calls:

517.0ms	(/.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) 2) (log.f64 (cbrt.f64 (/.f64 -1 re)))) (log.f64 base))
163.0ms	(+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) 2) (log.f64 (cbrt.f64 (/.f64 -1 re))))
108.0ms	(cbrt.f64 (/.f64 -1 re))
84.0ms	(cbrt.f64 (/.f64 -1 re))

Compiler

Compiled 768 to 741 computations (3.5% saved)

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4845	1916
1	4845	1916

prune183.0ms (1.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	121	16	137

Error

0.4b

Counts

137 → 16

Compiler

Compiled 2680 to 1972 computations (26.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 -1 re))
0.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
0.2b	(/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))

rewrite282.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

149×	`times-frac_binary64_425`
77×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
47×	`pow1_binary64_480`
43×	`log-pow_binary64_508`
24×	`associate-/r*_binary64_363`
19×	`add-exp-log_binary64_457`
13×	`log-prod_binary64_505`
10×	`add-cbrt-cube_binary64_455`
9×	`div-exp_binary64_470`
7×	`div-inv_binary64_416` `associate-/l*_binary64_364`
4×	`cbrt-undiv_binary64_453`
3×	`add-log-exp_binary64_458`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `1-exp_binary64_463` `rec-exp_binary64_469` `rem-log-exp_binary64_460`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `associate-/r/_binary64_365` `log-div_binary64_506`

Counts

3 → 164

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
4.0ms	(/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))
3.0ms	(log.f64 (/.f64 -1 re))

Compiler

Compiled 3290 to 2368 computations (28% saved)

series647.0ms (5.7%)

Error

0.4b

Counts

3 → 15

Calls

3 calls:

299.0ms	(/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))
283.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
54.0ms	(log.f64 (/.f64 -1 re))

Compiler

Compiled 504 to 495 computations (1.8% saved)

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5570	3419

prune201.0ms (1.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	179	16	195

Error

0.4b

Counts

195 → 16

Compiler

Compiled 2947 to 2024 computations (31.3% saved)

regimes1.9s (16.9%)

Accuracy

Total 6.7b remaining (96.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6481 to 4926 computations (24% saved)

bsearch263.0ms (2.3%)

Steps

Iters	Range		Point
8	-3.0441265295272606e-149	-5.5121764868710307e-154	-2.9841378285324807e-149
11	-1.751509682274919e+130	-2.7184863708729972e+110	-1.713079792545147e+122

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	52
1	39	52

Compiler

Compiled 66 to 46 computations (30.3% saved)

end0.0ms (0%)

sample3.8s (33%)

Algorithm

1×

intervals

Results

1.3s	8000×	body	128	valid
115.0ms	995×	body	128	nan

Compiler

Compiled 1345 to 1019 computations (24.2% saved)

Details

analyze859.0ms (7.5%)

sample69.0ms (0.6%)

simplify120.0ms (1%)

prune8.0ms (0.1%)

localize11.0ms (0.1%)

rewrite104.0ms (0.9%)

series637.0ms (5.6%)

simplify127.0ms (1.1%)

prune130.0ms (1.1%)

localize8.0ms (0.1%)

rewrite96.0ms (0.8%)

series355.0ms (3.1%)

simplify148.0ms (1.3%)

prune81.0ms (0.7%)

localize19.0ms (0.2%)

rewrite216.0ms (1.9%)

series893.0ms (7.8%)

simplify128.0ms (1.1%)

prune183.0ms (1.6%)

localize9.0ms (0.1%)

rewrite282.0ms (2.5%)

series647.0ms (5.7%)

simplify103.0ms (0.9%)

prune201.0ms (1.8%)

regimes1.9s (16.9%)

bsearch263.0ms (2.3%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample3.8s (33%)

Profiling