Details

analyze438.0ms (7.7%)

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

Symmetry

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample38.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	194×	body	128	valid
6.0ms	27×	body	2048	valid
4.0ms	15×	body	4096	valid
3.0ms	256×	pre	128	true
3.0ms	14×	body	1024	valid
1.0ms	4×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune2.0ms (0%)

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

37.8b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
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)
28.7b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite96.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

37.6b

Rules

11×	`add-sqr-sqrt_binary64_441`
8×	`pow1_binary64_480` `add-log-exp_binary64_458` `*-un-lft-identity_binary64_419`
6×	`add-cube-cbrt_binary64_454`
5×	`sqrt-prod_binary64_435`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-div_binary64_436`
3×	`sqrt-pow1_binary64_437` `cancel-sign-sub-inv_binary64_385`
2×	`pow1/2_binary64_499` `flip3-+_binary64_422` `flip-+_binary64_393` `flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `associate-*r/_binary64_361`
1×	`rem-sqrt-square_binary64_432` `diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `pow-prod-down_binary64_490` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 56

Calls

4 calls:

9.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1418 to 497 computations (65% saved)

series348.0ms (6.1%)

Error

0.3b

Counts

4 → 46

Calls

4 calls:

82.0ms	(+.f64 (.f64 re re) (.f64 im im))
78.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
76.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
68.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1787 to 1571 computations (12.1% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5006	1563

prune100.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Error

0.3b

Counts

103 → 7

Compiler

Compiled 1969 to 994 computations (49.5% saved)

localize5.0ms (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

0.3b

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)

series50.0ms (0.9%)

Error

0.3b

Counts

1 → 7

Calls

1 calls:

46.0ms

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

Compiler

Compiled 253 to 237 computations (6.3% saved)

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4981	216
1	4981	216

prune23.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Error

0.3b

Counts

27 → 7

Compiler

Compiled 345 to 269 computations (22% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 1/2 (.f64 (*.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im))))
0.4b	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
0.4b	(*.f64 re (sqrt.f64 2))
0.5b	(*.f64 (sqrt.f64 im) (sqrt.f64 2))

rewrite196.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

32×	`add-sqr-sqrt_binary64_441`
29×	`associate-r_binary64_359`
27×	`sqrt-prod_binary64_435`
24×	`pow1_binary64_480`
22×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
20×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
13×	`pow-prod-down_binary64_490` `associate-l_binary64_360`
11×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
9×	`times-frac_binary64_425`
6×	`unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `*-commutative_binary64_350`
3×	`associate-*r/_binary64_361`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `sqrt-div_binary64_436`
1×	`sqrt-unprod_binary64_439` `div-inv_binary64_416`

Counts

4 → 106

Calls

4 calls:

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

Compiler

Compiled 2732 to 2168 computations (20.6% saved)

series263.0ms (4.6%)

Error

0.3b

Counts

4 → 18

Calls

4 calls:

100.0ms	(.f64 1/2 (.f64 (*.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im))))
95.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
28.0ms	(*.f64 re (sqrt.f64 2))
22.0ms	(*.f64 (sqrt.f64 im) (sqrt.f64 2))

Compiler

Compiled 1106 to 984 computations (11% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5356	1609

prune168.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	123	8	131

Error

0.3b

Counts

131 → 8

Compiler

Compiled 2965 to 2364 computations (20.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
0.4b	(*.f64 re (sqrt.f64 2))
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)

rewrite151.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

22×	`associate-r_binary64_359`
21×	`add-sqr-sqrt_binary64_441`
17×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `sqrt-prod_binary64_435`
11×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`times-frac_binary64_425`
6×	`cbrt-prod_binary64_450`
4×	`add-log-exp_binary64_458` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
2×	`pow1/3_binary64_501` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`sqrt-div_binary64_436` `associate-*r/_binary64_361` `div-inv_binary64_416`

Counts

4 → 76

Calls

4 calls:

10.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
8.0ms	(*.f64 re (sqrt.f64 2))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

Compiler

Compiled 2286 to 1913 computations (16.3% saved)

series135.0ms (2.4%)

Error

0.3b

Counts

4 → 9

Calls

4 calls:

91.0ms	(.f64 (.f64 re (sqrt.f64 2)) (sqrt.f64 (/.f64 1 im)))
32.0ms	(*.f64 re (sqrt.f64 2))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 674 to 615 computations (8.8% saved)

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5029	903

prune129.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Error

0.3b

Counts

93 → 9

Compiler

Compiled 2362 to 1975 computations (16.4% saved)

regimes1.1s (18.8%)

Accuracy

Total 14.7b remaining (96.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8178 to 6089 computations (25.5% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	191
1	67	191

Removed

()

end0.0ms (0%)

sample2.1s (36.5%)

Algorithm

1×

intervals

Results

295.0ms	6078×	body	128	valid
161.0ms	658×	body	2048	valid
148.0ms	501×	body	4096	valid
98.0ms	8000×	pre	128	true
84.0ms	429×	body	1024	valid
30.0ms	222×	body	512	valid
10.0ms	112×	body	256	valid

Compiler

Compiled 1158 to 857 computations (26% saved)

Details

analyze438.0ms (7.7%)

sample38.0ms (0.7%)

simplify26.0ms (0.5%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite96.0ms (1.7%)

series348.0ms (6.1%)

simplify74.0ms (1.3%)

prune100.0ms (1.7%)

localize5.0ms (0.1%)

rewrite16.0ms (0.3%)

series50.0ms (0.9%)

simplify100.0ms (1.8%)

prune23.0ms (0.4%)

localize13.0ms (0.2%)

rewrite196.0ms (3.4%)

series263.0ms (4.6%)

simplify69.0ms (1.2%)

prune168.0ms (3%)

localize16.0ms (0.3%)

rewrite151.0ms (2.6%)

series135.0ms (2.4%)

simplify72.0ms (1.3%)

prune129.0ms (2.3%)

regimes1.1s (18.8%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (36.5%)

Profiling