Details

analyze254.0ms

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

6.0ms	256×	body	80	valid
1.0ms	22×	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))

rewrite13.0ms

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))

simplify50.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune50.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `unsub-neg` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+r-` `associate-+r+`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+ x (+ (* y z) (* y (neg x))))
4.0ms	(+ (* y z) (* y (neg x)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (+ (* y z) (* y (neg x))))
7.0ms	(+ (* y z) (* y (neg x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5311	286

prune39.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0.0b

Counts

37 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (- z x) (sqrt y))))
0.1b	(* (- z x) (sqrt y))
0.2b	(* (sqrt y) (* (- z x) (sqrt y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ x (* (sqrt y) (* (- z x) (sqrt y))))
7.0ms	(* (- z x) (sqrt y))
10.0ms	(* (sqrt y) (* (- z x) (sqrt y)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (* (sqrt y) (* (- z x) (sqrt y))))
9.0ms	(* (- z x) (sqrt y))
11.0ms	(* (sqrt y) (* (- z x) (sqrt y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4999	574
1	4999	574

prune62.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- z x))
3.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
7.0ms	(* y (sqrt (- z x)))
12.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series39.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (- z x))
9.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
15.0ms	(* y (sqrt (- z x)))
7.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5303	924

prune72.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

regimes136.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample370.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	80	valid
14.0ms	577×	body	80	invalid

Details

analyze254.0ms

sample17.0ms

simplify10.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series21.0ms

simplify50.0ms

prune50.0ms

localize7.0ms

rewrite10.0ms

series14.0ms

simplify43.0ms

prune39.0ms

localize7.0ms

rewrite22.0ms

series34.0ms

simplify39.0ms

prune62.0ms

localize7.0ms

rewrite27.0ms

series39.0ms

simplify48.0ms

prune72.0ms

regimes136.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample370.0ms

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