Details

analyze293.0ms (14.6%)

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
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	285	7
1	285	7

prune6.0ms (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: 4.4b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

4.1b	(* x (- 1.0 (* y z)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(* x (- 1.0 (* y z)))

series10.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(* x (- 1.0 (* y z)))

simplify43.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4953	214
1	4953	214

prune70.0ms (3.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	16	9	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	9	26

Merged error: 4.2b

Counts

26 → 9

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

7.7b	(* x (* y (neg z)))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

7.0ms

(* x (* y (neg z)))

series6.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (* y (neg z)))

simplify40.0ms (2%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5566	141

prune47.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.1b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.2b	(cbrt (- 1.0 (* y z)))
4.2b	(cbrt (- 1.0 (* y z)))
4.2b	(cbrt (- 1.0 (* y z)))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

10.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series143.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (- 1.0 (* y z)))
38.0ms	(cbrt (- 1.0 (* y z)))
38.0ms	(cbrt (- 1.0 (* y z)))
28.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))

simplify33.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5301	1073

prune185.0ms (9.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

6.4b	(* (* x y) (neg z))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

5.0ms

(* (* x y) (neg z))

series6.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* x y) (neg z))

simplify48.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4850	186
1	4850	186

prune34.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	29	7	36

Merged error: 0.0b

Counts

36 → 7

regimes519.0ms (25.9%)

Accuracy

Total 0.1b remaining (76.3%)

Threshold costs 0.1b (76.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	31
1	89	31

end0.0ms (0%)

sample418.0ms (20.9%)

Algorithm

1×

intervals

Results

220.0ms	8000×	body	80	valid
14.0ms	539×	body	80	invalid

Details

analyze293.0ms (14.6%)

sample16.0ms (0.8%)

simplify11.0ms (0.6%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

rewrite6.0ms (0.3%)

series10.0ms (0.5%)

simplify43.0ms (2.1%)

prune70.0ms (3.5%)

localize7.0ms (0.3%)

rewrite7.0ms (0.4%)

series6.0ms (0.3%)

simplify40.0ms (2%)

prune47.0ms (2.3%)

localize12.0ms (0.6%)

rewrite20.0ms (1%)

series143.0ms (7.2%)

simplify33.0ms (1.7%)

prune185.0ms (9.3%)

localize7.0ms (0.3%)

rewrite6.0ms (0.3%)

series6.0ms (0.3%)

simplify48.0ms (2.4%)

prune34.0ms (1.7%)

regimes519.0ms (25.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample418.0ms (20.9%)

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