Details

analyze132.0ms (5.9%)

Algorithm

1×

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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample42.0ms (1.9%)

Algorithm

1×

intervals

Results

15.0ms	51×	body	1024	valid
8.0ms	173×	body	128	valid
5.0ms	24×	body	1024	invalid
2.0ms	15×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	29×	body	128	invalid
1.0ms	5×	body	512	invalid
1.0ms	7×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify167.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune2.0ms (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 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_789`
3×	`associate-l_binary64_708` `associate-r_binary64_707` `pow1_binary64_828` `*-un-lft-identity_binary64_767` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
2×	`add-exp-log_binary64_805`
1×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `pow-prod-down_binary64_838`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series61.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify56.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	222
1	4976	222

prune16.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

Compiler

Compiled 230 to 93 computations (59.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.3b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
14.7b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_789`
8×	`pow1_binary64_828` `cbrt-prod_binary64_798` `add-cbrt-cube_binary64_803`
7×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`add-exp-log_binary64_805`
3×	`associate-l_binary64_708` `associate-r_binary64_707` `add-log-exp_binary64_806` `pow-unpow_binary64_844`
2×	`cbrt-unprod_binary64_800` `sqr-pow_binary64_739` `cube-prod_binary64_795` `pow-exp_binary64_835` `prod-exp_binary64_816` `unpow-prod-down_binary64_846` `cube-mult_binary64_797` `rem-cube-cbrt_binary64_790` `pow-prod-down_binary64_838` `unpow3_binary64_833` `pow-pow_binary64_839`
1×	`pow-to-exp_binary64_836` `unswap-sqr_binary64_735` `pow1/3_binary64_849` `*-commutative_binary64_698` `rem-cbrt-cube_binary64_791`

Counts

3 → 57

Calls

3 calls:

6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series241.0ms (10.8%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
60.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
60.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify78.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4918	740
1	4918	740

prune41.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0b

Counts

68 → 2

Compiler

Compiled 745 to 288 computations (61.3% saved)

regimes40.0ms (1.8%)

Compiler: Compiled 87 to 95 computations (-9.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.3s (58.9%)

Algorithm

1×

intervals

Results

400.0ms	1385×	body	1024	valid
265.0ms	5630×	body	128	valid
142.0ms	686×	body	1024	invalid
94.0ms	631×	body	512	valid
44.0ms	308×	body	512	invalid
37.0ms	799×	body	128	invalid
37.0ms	350×	body	256	valid
14.0ms	156×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 24 to 26 computations (-8.3% saved)

Details

analyze132.0ms (5.9%)

sample42.0ms (1.9%)

simplify167.0ms (7.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series61.0ms (2.7%)

simplify56.0ms (2.5%)

prune16.0ms (0.7%)

localize8.0ms (0.3%)

rewrite17.0ms (0.8%)

series241.0ms (10.8%)

simplify78.0ms (3.5%)

prune41.0ms (1.8%)

regimes40.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (58.9%)

Profiling