Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

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

sample25.0ms (1.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune11.0ms (0.8%)

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: 3.9b

Counts

2 → 1

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ a (+ b (+ c d)))
5.0ms	(+ b (+ c d))

series13.0ms (1%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ a (+ b (+ c d)))
4.0ms	(+ b (+ c d))

simplify41.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4924	307
1	4924	307

prune129.0ms (9.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 2.4b

Counts

39 → 8

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 17

Calls

1 calls:

10.0ms

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

series8.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify37.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5390	181

prune63.0ms (4.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	17	11	28

Merged error: 2.1b

Counts

28 → 11

localize10.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ d (+ b c))) 3))
2.8b	(+ a (+ d (+ b c)))

rewrite18.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

8.0ms	(cbrt (pow (+ a (+ d (+ b c))) 3))
8.0ms	(+ a (+ d (+ b c)))

series21.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(cbrt (pow (+ a (+ d (+ b c))) 3))
8.0ms	(+ a (+ d (+ b c)))

simplify59.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4891	545
1	4891	545

prune114.0ms (8.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	7	2	9
Picked	1	0	1
Done	0	1	1
Total	57	6	63

Merged error: 0.4b

Counts

63 → 6

localize9.0ms (0.7%)

Local error

Found 1 expressions with local error:

0.6b	(cbrt (pow (+ (+ a d) (+ b c)) 3))

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`cbrt-prod`
16×	`distribute-lft-out`
7×	`unpow-prod-down` `cube-prod`
6×	`cube-div` `cbrt-div`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
1×	`pow1` `add-exp-log` `cube-mult` `pow1/3` `unpow3` `add-cbrt-cube` `rem-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

1 → 35

Calls

1 calls:

9.0ms

(cbrt (pow (+ (+ a d) (+ b c)) 3))

series12.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(cbrt (pow (+ (+ a d) (+ b c)) 3))

simplify23.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5281	551

prune62.0ms (4.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	43	1	44

Merged error: 0b

Counts

44 → 1

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms (0%)

sample671.0ms (48.4%)

Algorithm

1×

intervals

Results

299.0ms	8000×	pre	80	true
198.0ms	8000×	body	80	valid

Details

analyze3.0ms (0.2%)

sample25.0ms (1.8%)

simplify5.0ms (0.3%)

prune11.0ms (0.8%)

localize7.0ms (0.5%)

rewrite14.0ms (1%)

series13.0ms (1%)

simplify41.0ms (2.9%)

prune129.0ms (9.3%)

localize6.0ms (0.5%)

rewrite10.0ms (0.8%)

series8.0ms (0.6%)

simplify37.0ms (2.6%)

prune63.0ms (4.6%)

localize10.0ms (0.7%)

rewrite18.0ms (1.3%)

series21.0ms (1.5%)

simplify59.0ms (4.3%)

prune114.0ms (8.3%)

localize9.0ms (0.7%)

rewrite11.0ms (0.8%)

series12.0ms (0.8%)

simplify23.0ms (1.7%)

prune62.0ms (4.5%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample671.0ms (48.4%)

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