Details

sample858.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 48.577881%

Guaranteed chance to sample good point: 76.913947%

Results

9.0ms	256×	body	80	valid
1.0ms	17×	body	80	nan
0.0ms	3×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune6.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:

2.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	210	185
1	816	175
2	3872	168
3	5002	168

prune66.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt z))
0.2b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite23.0ms

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))
6.0ms	(* y (sqrt (sqrt z)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt z))
14.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt z)))
7.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	317	517
1	1370	467
2	5002	423

prune104.0ms

Filtered

58 candidates to 100 candidates (-72.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.2b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
7.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series51.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
14.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt z)))
14.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	462	591
1	2016	547
2	5002	527

prune127.0ms

Filtered

59 candidates to 92 candidates (-55.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	92	7	99

Merged error: 0b

Counts

99 → 7

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))

rewrite18.0ms

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:

3.0ms	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
5.0ms	(* y (pow z 1/4))
9.0ms	(* (* y (pow z 1/4)) (pow z 1/4))

series26.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ x (* (* y (pow z 1/4)) (pow z 1/4)))
11.0ms	(* y (pow z 1/4))
7.0ms	(* (* y (pow z 1/4)) (pow z 1/4))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	360	414
1	1512	355
2	5001	335

prune97.0ms

Filtered

48 candidates to 75 candidates (-56.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Merged error: 0b

Counts

82 → 7

regimes448.0ms

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	5
1	13	5

end0.0ms

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 48.577881%

Guaranteed chance to sample good point: 76.913947%

Results

301.0ms	8000×	body	80	valid
18.0ms	550×	body	80	nan
8.0ms	216×	body	80	invalid

Details

sample858.0ms

simplify13.0ms

prune6.0ms

localize7.0ms

rewrite8.0ms

series14.0ms

simplify107.0ms

prune66.0ms

localize10.0ms

rewrite23.0ms

series46.0ms

simplify42.0ms

prune104.0ms

localize15.0ms

rewrite20.0ms

series51.0ms

simplify57.0ms

prune127.0ms

localize13.0ms

rewrite18.0ms

series26.0ms

simplify47.0ms

prune97.0ms

regimes448.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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