Details

analyze558.0ms (3.9%)

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 29 to 21 computations (27.6% saved)

sample62.0ms (0.4%)

Algorithm

1×

intervals

Results

39.0ms	256×	body	128	valid
5.0ms	35×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify204.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5740	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

28.8b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize20.0ms (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))
26.7b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite120.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

28.7b

Rules

24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
21×	`pow1_binary64_480`
17×	`add-sqr-sqrt_binary64_441`
16×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `associate-/l*_binary64_364`
5×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
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×	`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` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

3 → 74

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1643 to 318 computations (80.6% saved)

series731.0ms (5.2%)

Error

0.3b

Counts

3 → 45

Calls

3 calls:

433.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
138.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
117.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1667 to 1361 computations (18.4% saved)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5227	2398

prune125.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	107	12	119
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	12	121

Error

0.2b

Counts

121 → 12

Compiler

Compiled 2229 to 590 computations (73.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(/.f64 1/2 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
0.4b	(/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
27.8b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite212.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

140×	`times-frac_binary64_425`
72×	`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`
12×	`add-exp-log_binary64_457`
11×	`add-cbrt-cube_binary64_455`
7×	`associate-/l*_binary64_364`
6×	`add-log-exp_binary64_458` `div-inv_binary64_416`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`log-prod_binary64_505`
2×	`flip3-+_binary64_422` `log-div_binary64_506` `flip-+_binary64_393` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`rem-log-exp_binary64_460` `associate-/r/_binary64_365` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 159

Calls

4 calls:

7.0ms	(/.f64 1/2 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))

Compiler

Compiled 4159 to 1064 computations (74.4% saved)

series1.4s (9.9%)

Error

0.2b

Counts

4 → 58

Calls

4 calls:

699.0ms	(/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
419.0ms	(/.f64 1/2 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
106.0ms	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
105.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 3374 to 2786 computations (17.4% saved)

simplify140.0ms (1%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5387	6021

prune233.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	211	6	217
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	215	14	229

Error

0.2b

Counts

229 → 14

Compiler

Compiled 4956 to 1426 computations (71.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3)
26.7b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite324.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

120×	`times-frac_binary64_425`
94×	`log-pow_binary64_508`
79×	`pow1_binary64_480`
64×	`add-sqr-sqrt_binary64_441`
63×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
62×	`cbrt-prod_binary64_450`
56×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
22×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
6×	`associate-/l*_binary64_364`
5×	`div-inv_binary64_416`
4×	`add-log-exp_binary64_458` `sqrt-div_binary64_436` `associate-/r*_binary64_363`
3×	`sqrt-prod_binary64_435` `pow-unpow_binary64_496`
2×	`flip3-+_binary64_422` `flip-+_binary64_393` `div-exp_binary64_470` `pow-exp_binary64_487` `unpow3_binary64_485` `cube-mult_binary64_449` `cube-div_binary64_448` `rem-cube-cbrt_binary64_442` `cbrt-undiv_binary64_453` `sqr-pow_binary64_391` `log-div_binary64_506` `div-sub_binary64_424`
1×	`rem-sqrt-square_binary64_432` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow1/3_binary64_501` `cbrt-div_binary64_451` `rem-cbrt-cube_binary64_443` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

4 → 211

Calls

4 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))
8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
8.0ms	(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 5859 to 1630 computations (72.2% saved)

series1.8s (12.9%)

Error

0.1b

Counts

4 → 62

Calls

4 calls:

760.0ms	(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3)
414.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
404.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3))
136.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 3356 to 2776 computations (17.3% saved)

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4957	7280
1	4957	7280

prune297.0ms (2.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	265	8	273
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	269	18	287

Error

0.1b

Counts

287 → 18

Compiler

Compiled 5904 to 1759 computations (70.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (/.f64 (sqrt.f64 1/2) (log.f64 base)) (.f64 (log.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 1/2)))
0.5b	(/.f64 (sqrt.f64 1/2) (log.f64 base))
0.5b	(.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) (sqrt.f64 1/2))
27.8b	(log.f64 (+.f64 (.f64 im im) (.f64 re re)))

rewrite231.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

48×	`times-frac_binary64_425`
44×	`add-sqr-sqrt_binary64_441`
40×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
32×	`associate-l_binary64_360`
31×	`sqrt-prod_binary64_435`
26×	`pow1_binary64_480`
21×	`add-exp-log_binary64_457`
20×	`add-cbrt-cube_binary64_455`
15×	`log-pow_binary64_508`
7×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r_binary64_359`
6×	`associate-/l*_binary64_364`
4×	`add-log-exp_binary64_458` `pow-prod-down_binary64_490` `associate-/r*_binary64_363`
3×	`log-prod_binary64_505` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`log-div_binary64_506` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `div-inv_binary64_416`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `rem-log-exp_binary64_460` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-*l/_binary64_362`

Counts

4 → 131

Calls

4 calls:

12.0ms	(.f64 (/.f64 (sqrt.f64 1/2) (log.f64 base)) (.f64 (log.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 1/2)))
9.0ms	(.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) (sqrt.f64 1/2))
7.0ms	(log.f64 (+.f64 (.f64 im im) (.f64 re re)))
4.0ms	(/.f64 (sqrt.f64 1/2) (log.f64 base))

Compiler

Compiled 3459 to 1639 computations (52.6% saved)

series1.0s (7.3%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

570.0ms	(.f64 (/.f64 (sqrt.f64 1/2) (log.f64 base)) (.f64 (log.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 1/2)))
160.0ms	(.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) (sqrt.f64 1/2))
154.0ms	(/.f64 (sqrt.f64 1/2) (log.f64 base))
109.0ms	(log.f64 (+.f64 (.f64 im im) (.f64 re re)))

Compiler

Compiled 2487 to 2199 computations (11.6% saved)

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	3298
1	4940	3298

prune223.0ms (1.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	172	19	191

Error

0.1b

Counts

191 → 19

Compiler

Compiled 3664 to 1688 computations (53.9% saved)

regimes2.0s (14.3%)

Accuracy

Total 17.0b remaining (98.5%)

Threshold costs 0b (0%)

Compiler

Compiled 8771 to 6506 computations (25.8% saved)

bsearch368.0ms (2.6%)

Steps

Iters	Range		Point
7	5.587914849225441e+81	2.628809029749955e+83	2.3592751430097664e+82
7	1.2190831893185469e-231	1.4668707820029931e-229	4.089819462125776e-231
9	8.624351738361032e-257	7.03774589227268e-251	2.5433593506319202e-253
11	1.6931332341815532e-307	7.733662414909044e-281	5.57434679198083e-283
8	-1.286788467934322e-197	-4.814198199068222e-200	-1.7324615588834855e-199
8	-1.0899080262621188e+60	-2.64474217773024e+57	-2.081558982118848e+59

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	178
1	67	178

end0.0ms (0%)

sample3.6s (25.6%)

Algorithm

1×

intervals

Results

953.0ms	8000×	body	128	valid
106.0ms	1000×	body	128	nan

Compiler

Compiled 1883 to 1371 computations (27.2% saved)

Details

analyze558.0ms (3.9%)

sample62.0ms (0.4%)

simplify204.0ms (1.4%)

prune9.0ms (0.1%)

localize20.0ms (0.1%)

rewrite120.0ms (0.8%)

series731.0ms (5.2%)

simplify92.0ms (0.6%)

prune125.0ms (0.9%)

localize15.0ms (0.1%)

rewrite212.0ms (1.5%)

series1.4s (9.9%)

simplify140.0ms (1%)

prune233.0ms (1.6%)

localize14.0ms (0.1%)

rewrite324.0ms (2.3%)

series1.8s (12.9%)

simplify147.0ms (1%)

prune297.0ms (2.1%)

localize15.0ms (0.1%)

rewrite231.0ms (1.6%)

series1.0s (7.3%)

simplify99.0ms (0.7%)

prune223.0ms (1.6%)

regimes2.0s (14.3%)

bsearch368.0ms (2.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.6s (25.6%)

Profiling