Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

318×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 2.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b	(* 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:

5.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify57.0ms

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

prune52.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	7	28

Merged error: 2.7b

Counts

28 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
6.4b	(* x (- (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* y z))))
4.0ms	(* x (- (* y z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x 1.0) (* x (- (* y z))))
30.0ms	(* x (- (* y z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	181	204
1	1018	178
2	5001	174

prune79.0ms

Filtered

42 candidates to 33 candidates (78.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
401.0ms	(cbrt (- 1.0 (* y z)))
222.0ms	(cbrt (- 1.0 (* y z)))
231.0ms	(cbrt (- 1.0 (* y z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	1088
1	1370	1031
2	5001	970

prune237.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (- y)) z))
5.8b	(* (* x (- y)) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 32

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x (- y)) z))
5.0ms	(* (* x (- y)) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x 1.0) (* (* x (- y)) z))
28.0ms	(* (* x (- y)) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	203	197
1	955	172
2	5001	160

prune56.0ms

Filtered

38 candidates to 28 candidates (73.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Merged error: 0b

Counts

43 → 6

regimes163.0ms

Accuracy

48.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	43	11
2	47	11
3	47	11

end0.0ms

sample418.0ms

Algorithm

intervals

Results

232.0ms

9676×

body

valid