Details

analyze609.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5232	36
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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
2.0ms	26×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify123.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	9

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

0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64_425`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
5×	`pow1_binary64_480`
4×	`log-pow_binary64_508` `associate-/r*_binary64_363`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
1×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

Compiler

Compiled 426 to 103 computations (75.8% saved)

series223.0ms (3.4%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

217.0ms

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

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4804	572
1	4804	572

prune40.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	26	14	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	16	42

Error

0.0b

Counts

42 → 16

Compiler

Compiled 680 to 225 computations (66.9% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (log.f64 base))
0.2b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite76.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64_441`
26×	`times-frac_binary64_425`
21×	`*-un-lft-identity_binary64_419`
20×	`add-cube-cbrt_binary64_454`
16×	`associate-r_binary64_359`
15×	`add-exp-log_binary64_457`
12×	`pow1_binary64_480`
9×	`add-cbrt-cube_binary64_455`
7×	`log-pow_binary64_508`
4×	`div-exp_binary64_470` `prod-exp_binary64_468` `associate-/r*_binary64_363`
3×	`unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`1-exp_binary64_463` `rec-exp_binary64_469` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `div-inv_binary64_416`
1×	`pow-prod-down_binary64_490` `un-div-inv_binary64_417` `associate-r/_binary64_361` `-commutative_binary64_350` `inv-pow_binary64_504` `pow-flip_binary64_493` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 1091 to 530 computations (51.4% saved)

series293.0ms (4.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

211.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
75.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 282 to 225 computations (20.2% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5058	929

prune63.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	7	7	14
Picked	0	1	1
Done	0	1	1
Total	89	13	102

Error

0.0b

Counts

102 → 13

Compiler

Compiled 1165 to 474 computations (59.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite113.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

108×	`times-frac_binary64_425`
60×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
19×	`pow1_binary64_480` `associate-/r*_binary64_363`
16×	`log-pow_binary64_508`
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×	`1-exp_binary64_463` `rec-exp_binary64_469` `add-log-exp_binary64_458` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `associate-/r/_binary64_365`

Counts

2 → 119

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
3.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 2172 to 762 computations (64.9% saved)

series431.0ms (6.6%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

224.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
198.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 432 to 339 computations (21.5% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5084	2435

prune96.0ms (1.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	3	7	10
Picked	0	1	1
Done	0	2	2
Total	136	14	150

Error

0.0b

Counts

150 → 14

Compiler

Compiled 2119 to 597 computations (71.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (atan2.f64 im re))
0.2b	(/.f64 1 (log.f64 base))
0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite508.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 335

Calls

3 calls:

13.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
3.0ms	(/.f64 1 (log.f64 base))
3.0ms	(/.f64 1 (atan2.f64 im re))

Compiler

Compiled 7874 to 4452 computations (43.5% saved)

series354.0ms (5.5%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

216.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
79.0ms	(/.f64 1 (log.f64 base))
48.0ms	(/.f64 1 (atan2.f64 im re))

Compiler

Compiled 480 to 393 computations (18.1% saved)

simplify143.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4864	8109
1	4864	8109

prune292.0ms (4.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	5	5	10
Picked	0	1	1
Done	0	3	3
Total	357	10	367

Error

Counts

367 → 10

Compiler

Compiled 6147 to 2483 computations (59.6% saved)

regimes480.0ms (7.4%)

Accuracy

Total 0.3b remaining (98.7%)

Threshold costs 0.3b (98.7%)

Compiler

Compiled 4991 to 3571 computations (28.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.3s (35.7%)

Algorithm

1×

intervals

Results

974.0ms	8000×	body	128	valid
94.0ms	975×	body	128	nan

Compiler

Compiled 1020 to 731 computations (28.3% saved)

Details

analyze609.0ms (9.4%)

sample40.0ms (0.6%)

simplify123.0ms (1.9%)

prune8.0ms (0.1%)

localize6.0ms (0.1%)

rewrite31.0ms (0.5%)

series223.0ms (3.4%)

simplify67.0ms (1%)

prune40.0ms (0.6%)

localize10.0ms (0.1%)

rewrite76.0ms (1.2%)

series293.0ms (4.5%)

simplify63.0ms (1%)

prune63.0ms (1%)

localize7.0ms (0.1%)

rewrite113.0ms (1.7%)

series431.0ms (6.6%)

simplify79.0ms (1.2%)

prune96.0ms (1.5%)

localize8.0ms (0.1%)

rewrite508.0ms (7.8%)

series354.0ms (5.5%)

simplify143.0ms (2.2%)

prune292.0ms (4.5%)

regimes480.0ms (7.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (35.7%)

Profiling