Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

366×

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 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)

series25.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (49.0ms)

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)

Merged error: 0.1b

localize5.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.5b	(sqrt (* (* x 3.0) x))
21.5b	(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))

series168.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
72.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
34.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (44.0ms)

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

prune141.0ms

Filtered

128 candidates to 57 candidates (44.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

21.5b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
22.2b	(cbrt (* (* x 3.0) x))
22.2b	(cbrt (* (* x 3.0) x))
22.2b	(cbrt (* (* x 3.0) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 59

Calls

4 calls:

8.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series797.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
233.0ms	(cbrt (* (* x 3.0) x))
224.0ms	(cbrt (* (* x 3.0) x))
220.0ms	(cbrt (* (* x 3.0) x))

simplify82.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	92	346
1	233	314
2	1293	308
3	5001	308

prune158.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

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)
21.5b	(sqrt (* (* x 3.0) x))
21.5b	(sqrt (* (* x 3.0) x))

rewrite31.0ms

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:

14.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
6.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series340.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
194.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
33.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (54.0ms)

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

prune220.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

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

sample228.0ms

Algorithm

intervals

Results

132.0ms

10702×

body

valid