Details

analyze437.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	46
1	338	46
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	205×	body	128	valid
3.0ms	15×	body	2048	valid
3.0ms	256×	pre	128	true
3.0ms	11×	body	4096	valid
3.0ms	14×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune3.0ms (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

40.0b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.5b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
33.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite84.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

39.8b

Rules

10×	`add-sqr-sqrt_binary64_441`
7×	`pow1_binary64_480` `*-un-lft-identity_binary64_419`
5×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435`
4×	`sqrt-div_binary64_436`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-pow1_binary64_437` `cancel-sign-sub-inv_binary64_385`
2×	`pow1/2_binary64_499` `flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `associate-*r/_binary64_361`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `rem-sqrt-square_binary64_432` `diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `pow-prod-down_binary64_490`

Counts

3 → 45

Calls

3 calls:

10.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1152 to 396 computations (65.6% saved)

series330.0ms (6.5%)

Error

0.5b

Counts

3 → 38

Calls

3 calls:

110.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
105.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
74.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1660 to 1444 computations (13% saved)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5330	1454

prune88.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Error

0.5b

Counts

84 → 7

Compiler

Compiled 1668 to 873 computations (47.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

4×	`pow1_binary64_480`
2×	`sqrt-pow1_binary64_437` `associate-*r/_binary64_361` `sqrt-div_binary64_436`
1×	`pow1/2_binary64_499` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow-prod-down_binary64_490` `flip3--_binary64_423` `flip--_binary64_394` `sqrt-prod_binary64_435` `*-un-lft-identity_binary64_419`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

Compiler

Compiled 187 to 126 computations (32.6% saved)

series57.0ms (1.1%)

Error

0.5b

Counts

1 → 7

Calls

1 calls:

51.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

Compiler

Compiled 253 to 237 computations (6.3% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4981	216
1	4981	216

prune22.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	19	8	27

Error

0.5b

Counts

27 → 8

Compiler

Compiled 322 to 246 computations (23.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (-.f64 im re))
0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 im re)))

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

20×	`add-sqr-sqrt_binary64_441`
17×	`sqrt-prod_binary64_435`
11×	`*-un-lft-identity_binary64_419`
8×	`associate-r_binary64_359`
7×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
6×	`associate-l_binary64_360`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `unswap-sqr_binary64_387` `sqrt-div_binary64_436`
3×	`pow1/2_binary64_499` `pow-prod-down_binary64_490` `sqrt-pow1_binary64_437`
2×	`add-log-exp_binary64_458` `flip3--_binary64_423` `associate-*r/_binary64_361` `flip--_binary64_394` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sqrt-unprod_binary64_439` `*-commutative_binary64_350` `rem-sqrt-square_binary64_432`

Counts

2 → 51

Calls

2 calls:

10.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 im re)))
3.0ms	(sqrt.f64 (-.f64 im re))

Compiler

Compiled 802 to 444 computations (44.6% saved)

series96.0ms (1.9%)

Error

0.5b

Counts

2 → 14

Calls

2 calls:

54.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 im re)))
34.0ms	(sqrt.f64 (-.f64 im re))

Compiler

Compiled 493 to 455 computations (7.7% saved)

simplify92.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4867	760
1	4867	760

prune53.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	65	8	73

Error

0.5b

Counts

73 → 8

Compiler

Compiled 943 to 592 computations (37.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 im))
0.3b	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
0.4b	(*.f64 re (sqrt.f64 2))
0.4b	(*.f64 (sqrt.f64 im) (sqrt.f64 2))

rewrite194.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

42×	`add-sqr-sqrt_binary64_441`
40×	`sqrt-prod_binary64_435`
28×	`associate-r_binary64_359`
27×	`*-un-lft-identity_binary64_419`
26×	`add-cube-cbrt_binary64_454`
20×	`times-frac_binary64_425`
17×	`pow1_binary64_480`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`associate-l_binary64_360`
7×	`pow-prod-down_binary64_490`
6×	`unswap-sqr_binary64_387`
5×	`sqrt-pow1_binary64_437` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458`
3×	`pow1/2_binary64_499` `*-commutative_binary64_350` `rem-sqrt-square_binary64_432`
2×	`sqrt-div_binary64_436` `div-inv_binary64_416`
1×	`sqrt-unprod_binary64_439` `associate-*r/_binary64_361` `inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
7.0ms	(*.f64 (sqrt.f64 im) (sqrt.f64 2))
6.0ms	(*.f64 re (sqrt.f64 2))
3.0ms	(sqrt.f64 (/.f64 1 im))

Compiler

Compiled 2828 to 2228 computations (21.2% saved)

series173.0ms (3.4%)

Error

0.5b

Counts

4 → 15

Calls

4 calls:

88.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
33.0ms	(*.f64 re (sqrt.f64 2))
22.0ms	(*.f64 (sqrt.f64 im) (sqrt.f64 2))
13.0ms	(sqrt.f64 (/.f64 1 im))

Compiler

Compiled 918 to 816 computations (11.1% saved)

simplify85.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4891	1398
1	4891	1398

prune161.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	127	8	135

Error

0.5b

Counts

135 → 8

Compiler

Compiled 2907 to 2281 computations (21.5% saved)

regimes888.0ms (17.6%)

Accuracy

Total 15.2b remaining (97.3%)

Threshold costs 0b (0%)

Compiler

Compiled 6342 to 4416 computations (30.4% saved)

bsearch65.0ms (1.3%)

Steps

Iters	Range		Point
10	3.1666476266698304e+60	4.0852191767692613e+71	3.1955843689395542e+60
9	-5.4298241838494465e+38	-2.6659731030301567e+29	-2.905152529666484e+29

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	58
1	49	58

end0.0ms (0%)

sample1.9s (37.1%)

Algorithm

1×

intervals

Results

310.0ms	6071×	body	128	valid
159.0ms	545×	body	4096	valid
153.0ms	642×	body	2048	valid
114.0ms	8000×	pre	128	true
72.0ms	391×	body	1024	valid
34.0ms	247×	body	512	valid
13.0ms	104×	body	256	valid

Compiler

Compiled 827 to 589 computations (28.8% saved)

Details

analyze437.0ms (8.6%)

sample36.0ms (0.7%)

simplify27.0ms (0.5%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite84.0ms (1.7%)

series330.0ms (6.5%)

simplify73.0ms (1.4%)

prune88.0ms (1.7%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series57.0ms (1.1%)

simplify105.0ms (2.1%)

prune22.0ms (0.4%)

localize7.0ms (0.1%)

rewrite57.0ms (1.1%)

series96.0ms (1.9%)

simplify92.0ms (1.8%)

prune53.0ms (1.1%)

localize12.0ms (0.2%)

rewrite194.0ms (3.8%)

series173.0ms (3.4%)

simplify85.0ms (1.7%)

prune161.0ms (3.2%)

regimes888.0ms (17.6%)

bsearch65.0ms (1.3%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (37.1%)

Profiling