Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

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

sample24.0ms (1.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune6.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series8.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify37.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune45.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.0b	(+ (* a (+ b c)) (* a d))

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (* a (+ b c)) (* a d))
5.0ms	(* a (+ b c))

series15.0ms (1%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* a (+ b c)) (* a d))
6.0ms	(* a (+ b c))

simplify46.0ms (3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune56.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* a b) (* a (+ c d)))
0.0b	(* a (+ c d))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

5.0ms	(* a (+ c d))
4.0ms	(+ (* a b) (* a (+ c d)))

series15.0ms (1%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* a b) (* a (+ c d)))
6.0ms	(* a (+ c d))

simplify41.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5131	319

prune65.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(* (+ b (+ c d)) (sqrt a))
0.4b	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))

rewrite20.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `associate-r` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

10.0ms	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))
8.0ms	(* (+ b (+ c d)) (sqrt a))

series33.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))
16.0ms	(* (+ b (+ c d)) (sqrt a))

simplify58.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4955	499
1	4955	499

prune57.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

regimes267.0ms (17.4%)

Accuracy

Total 0.0b remaining (68.7%)

Threshold costs 0.0b (68.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample677.0ms (44.2%)

Algorithm

1×

intervals

Results

310.0ms	8000×	pre	80	true
185.0ms	8000×	body	80	valid

Details

analyze3.0ms (0.2%)

sample24.0ms (1.6%)

simplify3.0ms (0.2%)

prune6.0ms (0.4%)

localize5.0ms (0.3%)

rewrite8.0ms (0.5%)

series8.0ms (0.5%)

simplify37.0ms (2.4%)

prune45.0ms (2.9%)

localize7.0ms (0.4%)

rewrite12.0ms (0.8%)

series15.0ms (1%)

simplify46.0ms (3%)

prune56.0ms (3.6%)

localize6.0ms (0.4%)

rewrite10.0ms (0.7%)

series15.0ms (1%)

simplify41.0ms (2.7%)

prune65.0ms (4.2%)

localize7.0ms (0.5%)

rewrite20.0ms (1.3%)

series33.0ms (2.2%)

simplify58.0ms (3.8%)

prune57.0ms (3.7%)

regimes267.0ms (17.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample677.0ms (44.2%)

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