Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	292×	body	80	nan
7.0ms	267×	body	80	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	23	4
2	40	4
3	59	4
4	74	4
5	103	4
6	120	4
7	145	4
8	226	4
9	257	4
10	257	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series79.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (- 1.0 x) (* y (sqrt x)))
43.0ms	(* y (sqrt x))

simplify142.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	240	231
1	957	202
2	4716	192
3	5002	192

prune80.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	7	44

Merged error: 0.0b

Counts

44 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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 x))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
8.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(sqrt (sqrt x))
143.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	516
1	1481	454
2	5001	427

prune177.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite24.0ms

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`
9×	`add-log-exp`
8×	`pow1`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `pow1/2` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
7.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series364.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
135.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
83.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	539	657
1	2405	593
2	5001	593

prune180.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	96	7	103

Merged error: 0b

Counts

103 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series715.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt x) (cbrt x))
173.0ms	(cbrt x)
176.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune259.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes88.0ms

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	9	4
1	9	4

end0.0ms

sample701.0ms

Algorithm

intervals

Results

222.0ms	8544×	body	80	valid
216.0ms	8727×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample26.0ms

simplify19.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series79.0ms

simplify142.0ms

prune80.0ms

localize8.0ms

rewrite20.0ms

series533.0ms

simplify48.0ms

prune177.0ms

localize14.0ms

rewrite24.0ms

series364.0ms

simplify65.0ms

prune180.0ms

localize16.0ms

rewrite11.0ms

series715.0ms

simplify87.0ms

prune259.0ms

regimes88.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample701.0ms

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