Details

analyze44.0ms (4.4%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

sample16.0ms (1.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	127	5
1	127	5

prune4.0ms (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: 0.0b

Counts

2 → 1

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite5.0ms (0.4%)

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 y) x)

series5.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (* x y) x)

simplify46.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4977	107
1	4977	107

prune22.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize8.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
0.5b	(cbrt (- (* x y) x))
0.5b	(cbrt (- (* x y) x))
0.5b	(cbrt (- (* x y) x))

rewrite26.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

11.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
4.0ms	(cbrt (- (* x y) x))
4.0ms	(cbrt (- (* x y) x))
4.0ms	(cbrt (- (* x y) x))

series61.0ms (6%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
14.0ms	(cbrt (- (* x y) x))
14.0ms	(cbrt (- (* x y) x))
14.0ms	(cbrt (- (* x y) x))

simplify35.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5024	1332

prune121.0ms (11.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(sqrt (- (* x y) x))
0.0b	(sqrt (- (* x y) x))
0.3b	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite25.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))
4.0ms	(sqrt (- (* x y) x))
4.0ms	(sqrt (- (* x y) x))
4.0ms	(- (* x y) x)

series26.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (- (* x y) x))
8.0ms	(sqrt (- (* x y) x))
5.0ms	(- (* x y) x)
5.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify46.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5710	972

prune119.0ms (11.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes105.0ms (10.3%)

Accuracy

Total 0.0b remaining (31.3%)

Threshold costs 0.0b (31.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

end0.0ms (0%)

sample285.0ms (28%)

Algorithm

1×

intervals

Results

154.0ms	8000×	body	80	valid
1.0ms	76×	body	80	invalid

Details

analyze44.0ms (4.4%)

sample16.0ms (1.5%)

simplify7.0ms (0.7%)

prune4.0ms (0.4%)

localize3.0ms (0.3%)

rewrite5.0ms (0.4%)

series5.0ms (0.5%)

simplify46.0ms (4.6%)

prune22.0ms (2.2%)

localize8.0ms (0.8%)

rewrite26.0ms (2.6%)

series61.0ms (6%)

simplify35.0ms (3.5%)

prune121.0ms (11.9%)

localize8.0ms (0.7%)

rewrite25.0ms (2.4%)

series26.0ms (2.6%)

simplify46.0ms (4.5%)

prune119.0ms (11.7%)

regimes105.0ms (10.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample285.0ms (28%)

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