Details

analyze417.0ms (9.9%)

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)

sample37.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
3.0ms	31×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify209.0ms (5%)

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

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))

series53.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify67.0ms (1.6%)

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

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	25	9	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	11	36

Error

0.0b

Counts

36 → 11

Compiler

Compiled 562 to 179 computations (68.1% 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:

9.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

series125.0ms (3%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(/.f64 1 (log.f64 base))
50.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5058	875

prune62.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	78	13	91

Error

0.0b

Counts

91 → 13

Compiler

Compiled 1106 to 480 computations (56.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.6b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)

rewrite58.0ms (1.4%)

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:

23.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
6.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
3.0ms	(/.f64 1 (log.f64 base))

series320.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
82.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
72.0ms	(/.f64 1 (log.f64 base))
49.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4943	2423
1	4943	2423

prune176.0ms (4.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	2	8	10
Picked	1	0	1
Done	0	2	2
Total	216	13	229

Error

0.0b

Counts

229 → 13

Compiler

Compiled 3199 to 1736 computations (45.7% 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))
0.8b	(pow.f64 (log.f64 base) 3)

rewrite24.0ms (0.6%)

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:

8.0ms	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
3.0ms	(pow.f64 (log.f64 base) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))

series165.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(pow.f64 (log.f64 base) 3)
45.0ms	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 3)))
41.0ms	(cbrt.f64 (pow.f64 (log.f64 base) 3))

simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5404	2120

prune96.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	8	10
Picked	0	1	1
Done	1	1	2
Total	141	12	153

Error

0.0b

Counts

153 → 12

Compiler

Compiled 1898 to 634 computations (66.6% saved)

regimes324.0ms (7.7%)

Accuracy

Total 0.3b remaining (95%)

Threshold costs 0.3b (95%)

Compiler

Compiled 2736 to 2091 computations (23.6% 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 (41.4%)

Algorithm

1×

intervals

Results

797.0ms	8000×	body	128	valid
88.0ms	983×	body	128	nan

Compiler

Compiled 569 to 435 computations (23.6% saved)

Details

analyze417.0ms (9.9%)

sample37.0ms (0.9%)

simplify209.0ms (5%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series53.0ms (1.3%)

simplify67.0ms (1.6%)

prune37.0ms (0.9%)

localize7.0ms (0.2%)

rewrite18.0ms (0.4%)

series125.0ms (3%)

simplify64.0ms (1.5%)

prune62.0ms (1.5%)

localize10.0ms (0.2%)

rewrite58.0ms (1.4%)

series320.0ms (7.6%)

simplify77.0ms (1.8%)

prune176.0ms (4.2%)

localize9.0ms (0.2%)

rewrite24.0ms (0.6%)

series165.0ms (3.9%)

simplify88.0ms (2.1%)

prune96.0ms (2.3%)

regimes324.0ms (7.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (41.4%)

Profiling