Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* x (- 1.0 (* y z)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* x (- 1.0 (* y z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111

prune69.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	18	9	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	9	28

Merged error: 3.5b

Counts

28 → 9

localize8.0ms

Local error

Found 1 expressions with local error:

5.8b	(* x (- (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-r`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify141.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	98	99
1	540	89
2	3687	89
3	5001	89

prune57.0ms

Filtered

25 candidates to 21 candidates (84.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0.0b

Counts

34 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

5.5b	(* (* x (- y)) z)

rewrite7.0ms

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×	`distribute-lft-neg-out` `associate-l` `*-commutative` `distribute-rgt-neg-out` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify134.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	123	92
1	627	77
2	4544	77
3	5001	77

prune46.0ms

Filtered

22 candidates to 15 candidates (68.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z))))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

16.0ms	(* (* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z))))
2.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series798.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z))))
245.0ms	(cbrt (- 1.0 (* y z)))
251.0ms	(cbrt (- 1.0 (* y z)))
245.0ms	(cbrt (- 1.0 (* y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	481	1602
1	1721	1447
2	5001	1395

prune246.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

regimes231.0ms

Accuracy

97.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	12
1	49	12
2	53	12
3	53	12

end0.0ms

sample408.0ms

Algorithm

intervals

Results

212.0ms

9575×

body

valid