Details

analyze34.0ms (1.8%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	242×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune5.0ms (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: 0.1b

Counts

2 → 1

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+ x (/ (- x y) 2.0))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify46.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4988	157
1	4988	157

prune33.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(- (* x 1.5) (* y 0.5))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

4.0ms

(- (* x 1.5) (* y 0.5))

series7.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(- (* x 1.5) (* y 0.5))

simplify49.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5477	151

prune27.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite51.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series173.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify47.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5174	1558

prune259.0ms (14%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite37.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series167.0ms (9%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify64.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4875	856
1	4875	856

prune215.0ms (11.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes202.0ms (11%)

Accuracy

Total 0.0b remaining (49.6%)

Threshold costs 0.0b (49.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample344.0ms (18.7%)

Algorithm

1×

intervals

Results

165.0ms	7407×	body	80	valid
19.0ms	207×	body	1280	valid
12.0ms	161×	body	640	valid
10.0ms	89×	body	2560	valid
5.0ms	94×	body	320	valid
2.0ms	42×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze34.0ms (1.8%)

sample13.0ms (0.7%)

simplify18.0ms (1%)

prune5.0ms (0.3%)

localize9.0ms (0.5%)

rewrite9.0ms (0.5%)

series5.0ms (0.3%)

simplify46.0ms (2.5%)

prune33.0ms (1.8%)

localize5.0ms (0.3%)

rewrite4.0ms (0.2%)

series7.0ms (0.4%)

simplify49.0ms (2.6%)

prune27.0ms (1.5%)

localize9.0ms (0.5%)

rewrite51.0ms (2.7%)

series173.0ms (9.4%)

simplify47.0ms (2.5%)

prune259.0ms (14%)

localize15.0ms (0.8%)

rewrite37.0ms (2%)

series167.0ms (9%)

simplify64.0ms (3.5%)

prune215.0ms (11.7%)

regimes202.0ms (11%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample344.0ms (18.7%)

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