Details

analyze596.0ms (14.2%)

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)

sample36.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
2.0ms	22×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	9

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

Merged error: 0.2b

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))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_425`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
5×	`pow1_binary64_480`
4×	`log-pow_binary64_508` `associate-/r*_binary64_363`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate-/l*_binary64_364`
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 → 31

Calls

1 calls:

3.0ms

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

series52.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune37.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	22	12	34
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	23	13	36

Merged error: 0.0b

Counts

36 → 13

Compiler

Compiled 610 to 206 computations (66.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`prod-exp_binary64_468` `associate-/r*_binary64_363` `div-exp_binary64_470`
3×	`unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`1-exp_binary64_463` `add-log-exp_binary64_458` `div-inv_binary64_416` `cbrt-unprod_binary64_452` `rec-exp_binary64_469` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `inv-pow_binary64_504` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `pow-flip_binary64_493` `un-div-inv_binary64_417`

Counts

2 → 74

Calls

2 calls:

10.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

series120.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 1 (log.f64 base))
48.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5058	875

prune64.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	78	15	93

Merged error: 0.0b

Counts

93 → 15

Compiler

Compiled 1167 to 509 computations (56.4% saved)

localize9.0ms (0.2%)

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)))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_425`
60×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
19×	`associate-/r*_binary64_363` `pow1_binary64_480`
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×	`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 → 119

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

series100.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
45.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5084	2327

prune97.0ms (2.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	6	7	13
Picked	0	1	1
Done	0	1	1
Total	127	13	140

Merged error: 0.0b

Counts

140 → 13

Compiler

Compiled 2037 to 589 computations (71.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (atan2.f64 im re))
0.3b	(/.f64 1 (log.f64 base))
0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite59.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

550×	`times-frac_binary64_425`
251×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
51×	`add-exp-log_binary64_457` `pow1_binary64_480`
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×	`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 → 335

Calls

3 calls:

12.0ms	(/.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))

series146.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(/.f64 1 (log.f64 base))
49.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
17.0ms	(/.f64 1 (atan2.f64 im re))

simplify141.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4864	8034
1	4864	8034

prune299.0ms (7.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	345	12	357

Merged error: 0b

Counts

357 → 12

Compiler

Compiled 6081 to 2468 computations (59.4% saved)

regimes331.0ms (7.9%)

Compiler: Compiled 3301 to 2251 computations (31.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.7s (40.9%)

Algorithm

1×

intervals

Results

788.0ms	8000×	body	128	valid
87.0ms	987×	body	128	nan

Compiler

Compiled 682 to 467 computations (31.5% saved)

Details

analyze596.0ms (14.2%)

sample36.0ms (0.9%)

simplify119.0ms (2.8%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series52.0ms (1.2%)

simplify70.0ms (1.7%)

prune37.0ms (0.9%)

localize7.0ms (0.2%)

rewrite18.0ms (0.4%)

series120.0ms (2.9%)

simplify63.0ms (1.5%)

prune64.0ms (1.5%)

localize9.0ms (0.2%)

rewrite20.0ms (0.5%)

series100.0ms (2.4%)

simplify77.0ms (1.8%)

prune97.0ms (2.3%)

localize8.0ms (0.2%)

rewrite59.0ms (1.4%)

series146.0ms (3.5%)

simplify141.0ms (3.3%)

prune299.0ms (7.1%)

regimes331.0ms (7.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (40.9%)

Profiling