Details

analyze34.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify54.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5006	6

prune5.0ms (0.3%)

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 2 expressions with local error:

0.0b	(exp (* (* x y) y))
0.1b	(* (* x y) y)

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`exp-prod` `exp-to-pow` `associate-l` `*-commutative` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

5.0ms	(* (* x y) y)
2.0ms	(exp (* (* x y) y))

series15.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(exp (* (* x y) y))
6.0ms	(* (* x y) y)

simplify63.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5004	203

prune51.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(exp (* y (* x y)))
0.0b	(exp (* y (* x y)))
0.1b	(* y (* x y))
0.1b	(* y (* x y))

rewrite17.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `associate-r` `*-commutative` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

6.0ms	(* y (* x y))
5.0ms	(* y (* x y))
2.0ms	(exp (* y (* x y)))
2.0ms	(exp (* y (* x y)))

series16.0ms (1%)

Counts

4 → 12

Calls

4 calls:

4.0ms	(exp (* y (* x y)))
4.0ms	(exp (* y (* x y)))
4.0ms	(* y (* x y))
4.0ms	(* y (* x y))

simplify52.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5100	382

prune94.0ms (5.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize19.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
28.2b	(cbrt (* y (* y x)))
28.2b	(cbrt (* y (* y x)))
28.2b	(cbrt (* y (* y x)))

rewrite18.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
4.0ms	(cbrt (* y (* y x)))
4.0ms	(cbrt (* y (* y x)))
4.0ms	(cbrt (* y (* y x)))

series79.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
18.0ms	(cbrt (* y (* y x)))
17.0ms	(cbrt (* y (* y x)))
17.0ms	(cbrt (* y (* y x)))

simplify47.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5349	496

prune119.0ms (7.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize15.0ms (1%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series89.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
24.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify47.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune321.0ms (20%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

regimes82.0ms (5.1%)

Accuracy

Total 0.0b remaining (51.8%)

Threshold costs 0.0b (51.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	16	30

end0.0ms (0%)

sample321.0ms (20.1%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	80	valid
2.0ms	106×	body	80	invalid

Details

analyze34.0ms (2.1%)

sample13.0ms (0.8%)

simplify54.0ms (3.4%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite8.0ms (0.5%)

series15.0ms (0.9%)

simplify63.0ms (3.9%)

prune51.0ms (3.2%)

localize7.0ms (0.5%)

rewrite17.0ms (1%)

series16.0ms (1%)

simplify52.0ms (3.2%)

prune94.0ms (5.8%)

localize19.0ms (1.2%)

rewrite18.0ms (1.1%)

series79.0ms (4.9%)

simplify47.0ms (2.9%)

prune119.0ms (7.4%)

localize15.0ms (1%)

rewrite10.0ms (0.7%)

series89.0ms (5.6%)

simplify47.0ms (2.9%)

prune321.0ms (20%)

regimes82.0ms (5.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample321.0ms (20.1%)

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