Details

analyze405.0ms (9.6%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample89.0ms (2.1%)

Algorithm

1×

intervals

Results

29.0ms	52×	body	1280	valid
13.0ms	41×	body	1280	invalid
10.0ms	37×	body	640	valid
8.0ms	38×	body	640	invalid
7.0ms	133×	body	80	valid
4.0ms	25×	body	320	valid
2.0ms	14×	body	320	invalid
2.0ms	14×	body	160	invalid
1.0ms	22×	body	80	invalid
1.0ms	9×	body	160	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify191.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	6226	18

prune4.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series4.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4939	212
1	4939	212

prune13.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

Compiler

Compiled 264 to 112 computations (57.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
6.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series96.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
24.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
20.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4867	2224
1	4867	2224

prune63.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0b

Counts

109 → 2

Compiler

Compiled 3543 to 924 computations (73.9% saved)

regimes124.0ms (3%)

Compiler: Compiled 284 to 194 computations (31.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample3.0s (70.2%)

Algorithm

1×

intervals

Results

808.0ms	1556×	body	1280	valid
485.0ms	1440×	body	1280	invalid
344.0ms	1271×	body	640	valid
298.0ms	1327×	body	640	invalid
236.0ms	4198×	body	80	valid
114.0ms	640×	body	320	valid
105.0ms	635×	body	320	invalid
38.0ms	335×	body	160	valid
37.0ms	327×	body	160	invalid
35.0ms	521×	body	80	invalid

Compiler

Compiled 62 to 46 computations (25.8% saved)

Details

analyze405.0ms (9.6%)

sample89.0ms (2.1%)

simplify191.0ms (4.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite6.0ms (0.1%)

series4.0ms (0.1%)

simplify86.0ms (2.1%)

prune13.0ms (0.3%)

localize17.0ms (0.4%)

rewrite38.0ms (0.9%)

series96.0ms (2.3%)

simplify103.0ms (2.5%)

prune63.0ms (1.5%)

regimes124.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.0s (70.2%)

Profiling