Details

analyze316.0ms (18.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

sample17.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune8.0ms (0.4%)

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: 5.8b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y y) z))
9.5b	(/ (* y y) z)

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ x (/ (* y y) z))
4.0ms	(/ (* y y) z)

series12.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (/ (* y y) z))
3.0ms	(/ (* y y) z)

simplify50.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5116	297

prune61.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (/ y z)))
0.2b	(* y (/ y z))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* y (/ y z))
3.0ms	(+ x (* y (/ y z)))

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* y (/ y z)))
3.0ms	(* y (/ y z))

simplify56.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4932	359
1	4932	359

prune60.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y (/ z y)))
0.2b	(/ y (/ z y))

rewrite21.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac`
46×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

11.0ms	(+ x (/ y (/ z y)))
7.0ms	(/ y (/ z y))

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (/ y (/ z y)))
3.0ms	(/ y (/ z y))

simplify63.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4951	853
1	4951	853

prune96.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt z)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series83.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
20.0ms	(cbrt z)
20.0ms	(cbrt y)
20.0ms	(cbrt y)

simplify33.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5228	200

prune61.0ms (3.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Merged error: 0b

Counts

61 → 5

regimes278.0ms (16%)

Accuracy

Total 0.1b remaining (86.6%)

Threshold costs 0.1b (86.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample443.0ms (25.5%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	80	valid
26.0ms	977×	body	80	invalid

Details

analyze316.0ms (18.2%)

sample17.0ms (1%)

simplify3.0ms (0.2%)

prune8.0ms (0.4%)

localize5.0ms (0.3%)

rewrite9.0ms (0.5%)

series12.0ms (0.7%)

simplify50.0ms (2.9%)

prune61.0ms (3.5%)

localize5.0ms (0.3%)

rewrite10.0ms (0.6%)

series11.0ms (0.7%)

simplify56.0ms (3.2%)

prune60.0ms (3.4%)

localize5.0ms (0.3%)

rewrite21.0ms (1.2%)

series11.0ms (0.7%)

simplify63.0ms (3.6%)

prune96.0ms (5.5%)

localize13.0ms (0.7%)

rewrite5.0ms (0.3%)

series83.0ms (4.8%)

simplify33.0ms (1.9%)

prune61.0ms (3.5%)

regimes278.0ms (16%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample443.0ms (25.5%)

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