Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

369×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

(- (* x x) (* (* y 4.0) z))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- (* x x) (* (* y 4.0) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune26.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

2.0ms	(- (* x x) (* (* y 4.0) z))
23.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* x x) (* (* y 4.0) z))
45.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
63.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
69.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	225	918
1	901	842
2	5001	814

prune215.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
68.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
69.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
65.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	130	544
1	469	520
2	1865	516
3	5002	508

prune223.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample810.0ms

Algorithm

intervals

Results

552.0ms

12262×

body

valid