Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample30.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune7.0ms (0.3%)

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: 0.1b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

series10.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune49.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 0.0b

Counts

28 → 7

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 a (+.f64 (+.f64 b c) d))
0.1b	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.1b	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.5b	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

rewrite45.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
9.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

series157.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
67.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
10.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

simplify30.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5773	1243

prune127.0ms (5.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.3b	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite40.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

17.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
9.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

series75.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
23.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	1100
1	4939	1100

prune105.0ms (4.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.3b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.5b	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))

rewrite55.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`pow1_binary64`
41×	`pow-prod-down_binary64`
30×	`add-sqr-sqrt_binary64`
29×	`sqrt-prod_binary64`
28×	`*-un-lft-identity_binary64`
21×	`pow1/2_binary64` `sqrt-pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-*r/_binary64` `sqrt-div_binary64`
17×	`associate-r_binary64`
13×	`add-cube-cbrt_binary64` `associate-l_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
8×	`pow-prod-up_binary64` `unswap-sqr_binary64`
7×	`sqrt-unprod_binary64`
6×	`pow-sqr_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`*-commutative_binary64`
2×	`pow-plus_binary64` `associate-*l/_binary64`
1×	`swap-sqr_binary64` `rem-square-sqrt_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 137

Calls

4 calls:

23.0ms	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))
11.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
11.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

series146.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
55.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
19.0ms	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))
13.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5437	1539

prune128.0ms (5.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	149	7	156

Merged error: 0b

Counts

156 → 7

regimes462.0ms (19.9%)

Accuracy

Total 0.0b remaining (77.5%)

Threshold costs 0.0b (77.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample681.0ms (29.4%)

Algorithm

1×

intervals

Results

302.0ms	8000×	pre	80	true
196.0ms	8000×	body	80	valid

Details

analyze2.0ms (0.1%)

sample30.0ms (1.3%)

simplify6.0ms (0.3%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series10.0ms (0.4%)

simplify43.0ms (1.9%)

prune49.0ms (2.1%)

localize7.0ms (0.3%)

rewrite45.0ms (2%)

series157.0ms (6.8%)

simplify30.0ms (1.3%)

prune127.0ms (5.5%)

localize7.0ms (0.3%)

rewrite40.0ms (1.7%)

series75.0ms (3.3%)

simplify51.0ms (2.2%)

prune105.0ms (4.5%)

localize8.0ms (0.4%)

rewrite55.0ms (2.4%)

series146.0ms (6.3%)

simplify28.0ms (1.2%)

prune128.0ms (5.5%)

regimes462.0ms (19.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample681.0ms (29.4%)

Profiling