Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	264×	body	80	valid
4.0ms	251×	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 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* y (sqrt x))

simplify88.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	148	113
1	616	100
2	3038	94
3	5001	94

prune51.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

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)))

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

series387.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (sqrt x))
134.0ms	(sqrt (sqrt x))
77.0ms	(* y (sqrt (sqrt x)))
43.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

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

prune191.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
0.4b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
33×	`associate-r`
26×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 102

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
10.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
15.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (sqrt x))
83.0ms	(* y (sqrt (sqrt x)))
112.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
44.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	477	883
1	2414	726
2	5002	647

prune248.0ms

Filtered

114 candidates to 65 candidates (57.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
0.4b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (cbrt (pow (sqrt (sqrt x)) 3))))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

99×	`sqrt-prod`
48×	`cbrt-prod`
42×	`associate-r`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down` `cube-prod`
21×	`pow1`
19×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`pow-pow`
4×	`sqrt-pow1` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`pow1/2` `associate-l` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

10.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
19.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (cbrt (pow (sqrt (sqrt x)) 3))))
4.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms	(pow (sqrt (sqrt x)) 3)

series474.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
44.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (cbrt (pow (sqrt (sqrt x)) 3))))
128.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
193.0ms	(pow (sqrt (sqrt x)) 3)

simplify110.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	620	1316
1	3113	993
2	5002	923

prune314.0ms

Filtered

160 candidates to 73 candidates (45.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	160	6	166

Merged error: 0b

Counts

166 → 6

regimes72.0ms

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

sample577.0ms

Algorithm

intervals

Results

175.0ms	8546×	body	80	valid
152.0ms	8446×	body	80	nan
0.0ms	1×	body	1280	valid