Details

analyze249.0ms

Algorithm

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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	23×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune3.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/`
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 → 37

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series21.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (- z x)))
14.0ms	(* y (- z x))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune48.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.0b	(* y (- z x))
0.3b	(pow (* y (- z x)) 3)
31.7b	(cbrt (pow (* y (- z x)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

4.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
6.0ms	(* y (- z x))
5.0ms	(pow (* y (- z x)) 3)
2.0ms	(cbrt (pow (* y (- z x)) 3))

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
7.0ms	(* y (- z x))
16.0ms	(pow (* y (- z x)) 3)
10.0ms	(cbrt (pow (* y (- z x)) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5063	748

prune95.0ms

Filtered

60 candidates to 91 candidates (-51.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	4	95

Merged error: 0b

Counts

95 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
2.1b	(- (* z z) (* x x))
11.2b	(* y (- (* z z) (* x x)))
17.9b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

6.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
4.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
9.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series58.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
5.0ms	(- (* z z) (* x x))
15.0ms	(* y (- (* z z) (* x x)))
19.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify41.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5090	836

prune73.0ms

Filtered

58 candidates to 86 candidates (-48.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(sqrt (- z x))
0.1b	(* y (sqrt (- z x)))
0.1b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- z x))
3.0ms	(sqrt (- z x))
7.0ms	(* y (sqrt (- z x)))
11.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (- z x))
8.0ms	(sqrt (- z x))
18.0ms	(* y (sqrt (- z x)))
7.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify29.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5051	924

prune75.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes199.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample410.0ms

Algorithm

intervals

Results

206.0ms	8000×	body	80	valid
14.0ms	602×	body	80	invalid

Details

analyze249.0ms

sample17.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series21.0ms

simplify49.0ms

prune48.0ms

localize10.0ms

rewrite20.0ms

series43.0ms

simplify35.0ms

prune95.0ms

localize12.0ms

rewrite27.0ms

series58.0ms

simplify41.0ms

prune73.0ms

localize7.0ms

rewrite27.0ms

series42.0ms

simplify29.0ms

prune75.0ms

regimes199.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample410.0ms

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