Details

analyze300.0ms (17%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

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: 0.0b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series12.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (* (- x 1.0) z))
4.0ms	(* (- x 1.0) z)

simplify45.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5186	345

prune61.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))

rewrite22.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))

series33.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
8.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))

simplify34.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5155	1250

prune278.0ms (15.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (* (- x 1.0) z))
0.0b	(sqrt (* (- x 1.0) z))
0.2b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite34.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

15.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))
6.0ms	(* (- x 1.0) z)
5.0ms	(sqrt (* (- x 1.0) z))
5.0ms	(sqrt (* (- x 1.0) z))

series32.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (* (- x 1.0) z))
12.0ms	(sqrt (* (- x 1.0) z))
5.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))
4.0ms	(* (- x 1.0) z)

simplify40.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5392	857

prune193.0ms (11%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes182.0ms (10.4%)

Accuracy

Total 0.0b remaining (18%)

Threshold costs 0.0b (18%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample419.0ms (23.8%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	80	valid
17.0ms	643×	body	80	invalid

Details

analyze300.0ms (17%)

sample16.0ms (0.9%)

simplify15.0ms (0.8%)

prune6.0ms (0.3%)

localize6.0ms (0.4%)

rewrite11.0ms (0.6%)

series12.0ms (0.7%)

simplify45.0ms (2.5%)

prune61.0ms (3.5%)

localize12.0ms (0.7%)

rewrite22.0ms (1.3%)

series33.0ms (1.9%)

simplify34.0ms (1.9%)

prune278.0ms (15.8%)

localize9.0ms (0.5%)

rewrite34.0ms (2%)

series32.0ms (1.8%)

simplify40.0ms (2.3%)

prune193.0ms (11%)

regimes182.0ms (10.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample419.0ms (23.8%)

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