Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

393×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	33	4
2	64	4
3	79	4
4	79	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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 36

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) z))
5.0ms	(* (* y 4.0) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* x x) (* (* y 4.0) z))
17.0ms	(* (* y 4.0) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	189	196
1	921	174
2	5002	171

prune73.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

4.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	116	123
1	516	111
2	2592	108
3	5001	104

prune41.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series738.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt z) (cbrt z))
174.0ms	(cbrt z)
181.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune222.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* y 4.0) (cbrt (pow z 2))) (cbrt z))
0.4b	(* (* y 4.0) (cbrt (pow z 2)))
0.6b	(cbrt z)
27.9b	(cbrt (pow z 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
18×	`pow1` `add-exp-log`
17×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

13.0ms	(* (* (* y 4.0) (cbrt (pow z 2))) (cbrt z))
7.0ms	(* (* y 4.0) (cbrt (pow z 2)))
1.0ms	(cbrt z)
2.0ms	(cbrt (pow z 2))

series503.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* (* y 4.0) (cbrt (pow z 2))) (cbrt z))
75.0ms	(* (* y 4.0) (cbrt (pow z 2)))
175.0ms	(cbrt z)
217.0ms	(cbrt (pow z 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	308	488
1	1557	430
2	5002	411

prune224.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

regimes140.0ms

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	10	4
1	10	4

end0.0ms

sample512.0ms

Algorithm

intervals

Results

276.0ms

12177×

body

valid