Details

sample45.0ms

Algorithm

intervals

Results

10.0ms	275×	body	80	valid
9.0ms	278×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	105	10
1	105	10

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* y (sqrt z)))
7.0ms	(* y (sqrt z))

simplify39.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4969	299
1	4969	299

prune66.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
8.0ms	(* y (sqrt (sqrt z)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt z))
15.0ms	(sqrt (sqrt z))
11.0ms	(* y (sqrt (sqrt z)))
7.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5286	622

prune106.0ms

Filtered

58 candidates to 100 candidates (-72.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
5.0ms	(* y (pow z 1/4))
8.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
15.0ms	(sqrt (sqrt z))
12.0ms	(* y (pow z 1/4))
14.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4941	808
1	4941	808

prune127.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0b

Counts

98 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
0.3b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (pow z 1/4))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
24×	`prod-exp`
14×	`associate-r`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`pow-to-exp` `add-cube-cbrt` `*-un-lft-identity` `pow-exp`
7×	`unpow-prod-down`
5×	`add-log-exp`
4×	`associate-l` `cbrt-unprod`
3×	`pow1` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 66

Calls

3 calls:

4.0ms	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
7.0ms	(* y (pow z 1/4))
7.0ms	(* (* y (pow z 1/4)) (pow z 1/4))

series27.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
12.0ms	(* y (pow z 1/4))
7.0ms	(* (* y (pow z 1/4)) (pow z 1/4))

simplify43.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4902	547
1	4902	547

prune87.0ms

Filtered

46 candidates to 75 candidates (-63.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0b

Counts

81 → 6

regimes432.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

297.0ms	8535×	body	80	valid
270.0ms	8498×	body	80	nan

Details

sample45.0ms

simplify4.0ms

prune7.0ms

localize9.0ms

rewrite9.0ms

series14.0ms

simplify39.0ms

prune66.0ms

localize10.0ms

rewrite24.0ms

series47.0ms

simplify43.0ms

prune106.0ms

localize16.0ms

rewrite20.0ms

series54.0ms

simplify33.0ms

prune127.0ms

localize13.0ms

rewrite19.0ms

series27.0ms

simplify43.0ms

prune87.0ms

regimes432.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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