Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

323×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune1.0ms

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* x 3.0) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune32.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	6	24

Merged error: 0.1b

Counts

24 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.0b	(sqrt (* (* x 3.0) x))
18.0b	(sqrt (* (* x 3.0) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
67.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
32.0ms	(sqrt (* (* x 3.0) x))
36.0ms	(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	183	396
1	948	335
2	5001	324

prune146.0ms

Filtered

128 candidates to 57 candidates (44.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	124	10	134

Merged error: 0.0b

Counts

134 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
0.5b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
18.0b	(sqrt (* (* x 3.0) x))
18.0b	(sqrt (* (* x 3.0) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`pow1`
20×	`associate-r`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow-prod-down`
7×	`pow-pow` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 122

Calls

4 calls:

15.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
9.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series314.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
179.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
35.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	333	1102
1	1621	806
2	5002	713

prune238.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	3	4	7
Picked	1	0	1
Done	1	1	2
Total	134	10	144

Merged error: 0.0b

Counts

144 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3/2))
0.3b	(pow (sqrt (* (* x 3.0) x)) 3/2)
18.0b	(sqrt (* (* x 3.0) x))
18.0b	(sqrt (* (* x 3.0) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
20×	`add-sqr-sqrt`
12×	`sqrt-prod`
10×	`add-exp-log` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `sqrt-pow1`
9×	`pow-prod-down`
8×	`associate-r`
7×	`associate-l`
6×	`add-cbrt-cube` `unswap-sqr`
5×	`pow-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `pow-exp` `pow-prod-up`
1×	`*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

14.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3/2))
5.0ms	(pow (sqrt (* (* x 3.0) x)) 3/2)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series369.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (* (* x 3.0) x)) 3/2))
238.0ms	(pow (sqrt (* (* x 3.0) x)) 3/2)
33.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify133.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	221	691
1	831	650
2	3962	618
3	5001	575

prune202.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample267.0ms

Algorithm

intervals

Results

150.0ms

10574×

body

valid