Details

analyze419.0ms (10.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample64.0ms (1.6%)

Algorithm

1×

intervals

Results

21.0ms	51×	body	1024	valid
12.0ms	166×	body	128	valid
7.0ms	30×	body	512	valid
5.0ms	19×	body	1024	invalid
2.0ms	8×	body	512	invalid
1.0ms	9×	body	256	valid
1.0ms	8×	body	128	invalid
0.0ms	3×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
2×	`add-exp-log_binary64_798`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 18

Calls

1 calls:

11.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

series131.0ms (3.4%)

Counts

1 → 11

Calls

1 calls:

130.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 152 to 124 computations (18.4% saved)

simplify199.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4845	318
1	4845	318

prune38.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Compiler

Compiled 261 to 90 computations (65.5% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
0.3b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_782`
8×	`add-cbrt-cube_binary64_796` `cbrt-prod_binary64_791` `pow1_binary64_821`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
6×	`add-exp-log_binary64_798`
3×	`add-log-exp_binary64_799` `associate-r_binary64_700` `associate-l_binary64_701` `pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `prod-exp_binary64_809` `unpow3_binary64_826` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `cube-prod_binary64_788` `pow-prod-down_binary64_831` `unpow-prod-down_binary64_839` `pow-pow_binary64_832`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `unswap-sqr_binary64_728` `pow-to-exp_binary64_829` `*-commutative_binary64_691`

Counts

3 → 57

Calls

3 calls:

11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
5.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series611.0ms (15.7%)

Counts

3 → 34

Calls

3 calls:

335.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
146.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
129.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

Compiler

Compiled 598 to 514 computations (14% saved)

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5267	1094

prune106.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Error

Counts

93 → 2

Compiler

Compiled 1011 to 442 computations (56.3% saved)

regimes94.0ms (2.4%)

Accuracy

Total 0.0b remaining (23.8%)

Threshold costs 0.0b (23.8%)

Compiler

Compiled 107 to 125 computations (-16.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample2.0s (52.6%)

Algorithm

1×

intervals

Results

593.0ms	1397×	body	1024	valid
418.0ms	5584×	body	128	valid
194.0ms	659×	body	1024	invalid
156.0ms	664×	body	512	valid
66.0ms	325×	body	512	invalid
52.0ms	352×	body	256	valid
23.0ms	159×	body	256	invalid
17.0ms	206×	body	128	invalid
2.0ms	3×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 28 to 32 computations (-14.3% saved)

Details

analyze419.0ms (10.8%)

sample64.0ms (1.6%)

simplify13.0ms (0.3%)

prune4.0ms (0.1%)

localize15.0ms (0.4%)

rewrite13.0ms (0.3%)

series131.0ms (3.4%)

simplify199.0ms (5.1%)

prune38.0ms (1%)

localize14.0ms (0.4%)

rewrite32.0ms (0.8%)

series611.0ms (15.7%)

simplify88.0ms (2.3%)

prune106.0ms (2.7%)

regimes94.0ms (2.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (52.6%)

Profiling