Details

analyze346.0ms (7.2%)

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
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)

sample75.0ms (1.6%)

Algorithm

1×

intervals

Results

23.0ms	55×	body	1024	valid
15.0ms	59×	body	1024	invalid
9.0ms	150×	body	128	valid
6.0ms	38×	body	512	invalid
6.0ms	30×	body	512	valid
3.0ms	21×	body	256	valid
1.0ms	12×	body	256	invalid
1.0ms	21×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify263.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4881	18
1	4881	18

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 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_805` `pow1_binary64_828` `*-un-lft-identity_binary64_767` `add-cbrt-cube_binary64_803`
4×	`associate-r_binary64_707` `add-log-exp_binary64_806`
3×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `add-sqr-sqrt_binary64_789` `pow-prod-down_binary64_838` `add-cube-cbrt_binary64_802`
2×	`distribute-lft-out_binary64_718` `flip-+_binary64_741` `associate-*r/_binary64_709` `flip3-+_binary64_770`
1×	`associate-l_binary64_708` `*-commutative_binary64_698` `distribute-rgt-in_binary64_717` `+-commutative_binary64_697` `sum-log_binary64_858` `distribute-lft-in_binary64_716`

Counts

2 → 35

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series146.0ms (3%)

Counts

2 → 6

Calls

2 calls:

114.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
32.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4890	713
1	4890	713

prune57.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

Compiler

Compiled 982 to 482 computations (50.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
0.0b	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_803`
9×	`add-exp-log_binary64_805`
8×	`pow1_binary64_828`
6×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
5×	`add-log-exp_binary64_806`
4×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816`
3×	`associate-r_binary64_707` `associate-/r*_binary64_711` `times-frac_binary64_773` `pow-prod-down_binary64_838`
2×	`cbrt-undiv_binary64_801` `div-exp_binary64_818` `div-inv_binary64_764`
1×	`associate-l_binary64_708` `frac-2neg_binary64_778` `distribute-lft-out_binary64_718` `-commutative_binary64_698` `flip-+_binary64_741` `associate-/l_binary64_712` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770` `clear-num_binary64_766`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
7.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))
6.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

series328.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

169.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
92.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
66.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4937	972
1	4937	972

prune72.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

Compiler

Compiled 1326 to 717 computations (45.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re))) (.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)))
0.1b	(/.f64 (exp.f64 im) (cos.f64 re))
0.2b	(/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re)))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_773`
55×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
16×	`associate-/r*_binary64_711` `add-cbrt-cube_binary64_803`
12×	`add-exp-log_binary64_805`
9×	`pow1_binary64_828`
6×	`add-log-exp_binary64_806` `associate-/l*_binary64_712` `div-inv_binary64_764`
4×	`cbrt-undiv_binary64_801` `div-exp_binary64_818`
3×	`associate-r_binary64_707` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
2×	`frac-2neg_binary64_778` `clear-num_binary64_766`
1×	`associate-l_binary64_708` `associate-/r/_binary64_713` `*-commutative_binary64_698` `flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770`

Counts

4 → 126

Calls

4 calls:

19.0ms	(+.f64 (/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re))) (.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)))
7.0ms	(/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re)))
7.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))
5.0ms	(/.f64 (exp.f64 im) (cos.f64 re))

series407.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(+.f64 (/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re))) (.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)))
102.0ms	(/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re)))
69.0ms	(/.f64 (exp.f64 im) (cos.f64 re))
65.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

simplify109.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4924	2682
1	4924	2682

prune141.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	138	3	141

Merged error: 0b

Counts

141 → 3

Compiler

Compiled 3080 to 1298 computations (57.9% saved)

regimes60.0ms (1.2%)

Compiler: Compiled 296 to 248 computations (16.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample2.5s (52.6%)

Algorithm

1×

intervals

Results

828.0ms	2002×	body	1024	valid
518.0ms	1960×	body	1024	invalid
264.0ms	4476×	body	128	valid
206.0ms	998×	body	512	valid
173.0ms	983×	body	512	invalid
64.0ms	517×	body	256	valid
58.0ms	475×	body	256	invalid
48.0ms	727×	body	128	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 68 to 56 computations (17.6% saved)

Details

analyze346.0ms (7.2%)

sample75.0ms (1.6%)

simplify263.0ms (5.4%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite20.0ms (0.4%)

series146.0ms (3%)

simplify73.0ms (1.5%)

prune57.0ms (1.2%)

localize9.0ms (0.2%)

rewrite27.0ms (0.6%)

series328.0ms (6.8%)

simplify76.0ms (1.6%)

prune72.0ms (1.5%)

localize10.0ms (0.2%)

rewrite52.0ms (1.1%)

series407.0ms (8.4%)

simplify109.0ms (2.3%)

prune141.0ms (2.9%)

regimes60.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (52.6%)

Profiling