Details

analyze443.0ms (10.2%)

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)

sample38.0ms (0.9%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
2.0ms	23×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify214.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

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))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune39.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	22	12	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	14	36

Merged error: 0.1b

Counts

36 → 14

Compiler

Compiled 593 to 204 computations (65.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite17.0ms (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:

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

series128.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(/.f64 1 (log.f64 base))
51.0ms	(*.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 (48.0ms)

Iter	Nodes	Cost
0	5058	875

prune67.0ms (1.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	78	16	94

Merged error: 0.0b

Counts

94 → 16

Compiler

Compiled 1173 to 522 computations (55.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.7b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)

rewrite53.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`times-frac_binary64_425`
85×	`add-sqr-sqrt_binary64_441`
84×	`cbrt-prod_binary64_450`
68×	`*-un-lft-identity_binary64_419`
66×	`add-cube-cbrt_binary64_454`
51×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
41×	`associate-r_binary64_359`
31×	`pow1_binary64_480`
22×	`log-pow_binary64_508`
15×	`add-exp-log_binary64_457`
10×	`add-cbrt-cube_binary64_455`
9×	`unswap-sqr_binary64_387`
7×	`div-inv_binary64_416`
4×	`add-log-exp_binary64_458` `pow-exp_binary64_487` `sqr-pow_binary64_391` `associate-/r*_binary64_363` `div-exp_binary64_470`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `cube-div_binary64_448` `associate-l_binary64_360` `pow-pow_binary64_491` `pow-unpow_binary64_496` `associate-/l*_binary64_364`
2×	`1-exp_binary64_463` `cbrt-div_binary64_451` `inv-pow_binary64_504` `rem-cube-cbrt_binary64_442` `rec-exp_binary64_469` `pow-flip_binary64_493` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `pow1/3_binary64_501` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

4 → 204

Calls

4 calls:

18.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
8.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
3.0ms	(/.f64 1 (log.f64 base))

series304.0ms (7%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
75.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
70.0ms	(/.f64 1 (log.f64 base))
47.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4943	2423
1	4943	2423

prune180.0ms (4.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	4	9	13
Picked	0	1	1
Done	0	2	2
Total	218	14	232

Merged error: 0.0b

Counts

232 → 14

Compiler

Compiled 3228 to 1740 computations (46.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
0.5b	(cbrt.f64 (pow.f64 (log.f64 base) 3))
0.7b	(pow.f64 (log.f64 base) 3)

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64_450`
51×	`times-frac_binary64_425`
43×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
24×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
17×	`associate-/r*_binary64_363`
16×	`pow1_binary64_480`
12×	`log-pow_binary64_508`
6×	`unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `add-exp-log_binary64_457`
5×	`add-cbrt-cube_binary64_455`
3×	`add-log-exp_binary64_458` `pow-unpow_binary64_496` `associate-/l*_binary64_364`
1×	`clear-num_binary64_418` `pow1/3_binary64_501` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `pow-exp_binary64_487` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `frac-2neg_binary64_430` `pow-pow_binary64_491` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

3 → 131

Calls

3 calls:

7.0ms	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
2.0ms	(pow.f64 (log.f64 base) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))

series174.0ms (4%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(pow.f64 (log.f64 base) 3)
50.0ms	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
37.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5404	2120

prune98.0ms (2.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	9	10
Picked	0	1	1
Done	2	1	3
Total	141	13	154

Merged error: 0.0b

Counts

154 → 13

Compiler

Compiled 1898 to 634 computations (66.6% saved)

regimes353.0ms (8.1%)

Compiler: Compiled 3036 to 2376 computations (21.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.8s (42%)

Algorithm

1×

intervals

Results

814.0ms	8000×	body	128	valid
91.0ms	979×	body	128	nan

Compiler

Compiled 629 to 492 computations (21.8% saved)

Details

analyze443.0ms (10.2%)

sample38.0ms (0.9%)

simplify214.0ms (4.9%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series52.0ms (1.2%)

simplify67.0ms (1.5%)

prune39.0ms (0.9%)

localize7.0ms (0.2%)

rewrite17.0ms (0.4%)

series128.0ms (2.9%)

simplify63.0ms (1.5%)

prune67.0ms (1.5%)

localize10.0ms (0.2%)

rewrite53.0ms (1.2%)

series304.0ms (7%)

simplify76.0ms (1.7%)

prune180.0ms (4.1%)

localize9.0ms (0.2%)

rewrite21.0ms (0.5%)

series174.0ms (4%)

simplify92.0ms (2.1%)

prune98.0ms (2.3%)

regimes353.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (42%)

Profiling