Details

analyze591.0ms (21.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	48×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune7.0ms (0.2%)

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: 0.1b

Counts

2 → 1

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

7.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)
4.0ms	(+ (* x y) z)

series30.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (* (+ (* x y) z) y) t)
9.0ms	(* (+ (* x y) z) y)
5.0ms	(+ (* x y) z)

simplify42.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune89.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize11.0ms (0.4%)

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 (0.4%)

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)

series92.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune128.0ms (4.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0b

Counts

93 → 9

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
6.5b	(cbrt (* y (+ (* x y) z)))
6.5b	(cbrt (* y (+ (* x y) z)))
6.5b	(cbrt (* y (+ (* x y) z)))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt (* y (+ (* x y) z)))
7.0ms	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))

series168.0ms (6%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z))))
41.0ms	(cbrt (* y (+ (* x y) z)))
38.0ms	(cbrt (* y (+ (* x y) z)))
38.0ms	(cbrt (* y (+ (* x y) z)))

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4905	1020
1	4905	1020

prune132.0ms (4.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0b

Counts

93 → 9

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
1.0b	(pow (cbrt (cbrt y)) 5)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

3.0ms	(pow (cbrt (cbrt y)) 5)
2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)

series130.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (cbrt (cbrt y)) 5)
30.0ms	(cbrt (cbrt y))
30.0ms	(cbrt (cbrt y))
23.0ms	(cbrt y)

simplify47.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4831	437
1	4831	437

prune115.0ms (4.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	75	9	84

Merged error: 0b

Counts

84 → 9

regimes473.0ms (16.9%)

Accuracy

Total 0.0b remaining (68.8%)

Threshold costs 0.0b (68.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample533.0ms (19%)

Algorithm

1×

intervals

Results

235.0ms	8000×	body	80	valid
56.0ms	1864×	body	80	invalid

Details

analyze591.0ms (21.1%)

sample20.0ms (0.7%)

simplify3.0ms (0.1%)

prune7.0ms (0.2%)

localize11.0ms (0.4%)

rewrite18.0ms (0.6%)

series30.0ms (1.1%)

simplify42.0ms (1.5%)

prune89.0ms (3.2%)

localize11.0ms (0.4%)

rewrite10.0ms (0.4%)

series92.0ms (3.3%)

simplify45.0ms (1.6%)

prune128.0ms (4.6%)

localize12.0ms (0.4%)

rewrite26.0ms (0.9%)

series168.0ms (6%)

simplify45.0ms (1.6%)

prune132.0ms (4.7%)

localize15.0ms (0.6%)

rewrite9.0ms (0.3%)

series130.0ms (4.7%)

simplify47.0ms (1.7%)

prune115.0ms (4.1%)

regimes473.0ms (16.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample533.0ms (19%)

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