Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	276×	body	80	valid
7.0ms	277×	body	80	nan

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))

series81.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (- 1.0 x) (* y (sqrt x)))
41.0ms	(* 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

prune73.0ms

Filtered

43 candidates to 30 candidates (69.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite22.0ms

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)))
9.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (sqrt x))
125.0ms	(sqrt (sqrt x))
74.0ms	(* y (sqrt (sqrt x)))
41.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

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

prune164.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Merged error: 0b

Counts

106 → 8

localize13.0ms

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

rewrite27.0ms

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:

7.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
8.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series343.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
128.0ms	(sqrt (sqrt x))
75.0ms	(* y (sqrt (sqrt x)))
75.0ms	(* (* 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

prune187.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize13.0ms

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))
0.2b	(* y (* (sqrt (sqrt x)) (pow x 1/4)))
0.5b	(* (sqrt (sqrt x)) (pow x 1/4))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

7.0ms	(+ (- 1.0 x) (* y (* (sqrt (sqrt x)) (pow x 1/4))))
2.0ms	(sqrt (sqrt x))
8.0ms	(* y (* (sqrt (sqrt x)) (pow x 1/4)))
8.0ms	(* (sqrt (sqrt x)) (pow x 1/4))

series331.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (- 1.0 x) (* y (* (sqrt (sqrt x)) (pow x 1/4))))
132.0ms	(sqrt (sqrt x))
79.0ms	(* y (* (sqrt (sqrt x)) (pow x 1/4)))
56.0ms	(* (sqrt (sqrt x)) (pow x 1/4))

simplify63.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	565	788
1	2119	721
2	5001	721

prune203.0ms

Filtered

104 candidates to 68 candidates (65.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 0b

Counts

112 → 8

regimes92.0ms

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

sample728.0ms

Algorithm

intervals

Results

237.0ms	8503×	body	80	valid
224.0ms	8753×	body	80	nan
0.0ms	1×	body	1280	valid

Details

sample26.0ms

simplify19.0ms

prune2.0ms

localize8.0ms

rewrite13.0ms

series81.0ms

simplify142.0ms

prune73.0ms

localize8.0ms

rewrite22.0ms

series364.0ms

simplify43.0ms

prune164.0ms

localize13.0ms

rewrite27.0ms

series343.0ms

simplify65.0ms

prune187.0ms

localize13.0ms

rewrite27.0ms

series331.0ms

simplify63.0ms

prune203.0ms

regimes92.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample728.0ms

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