Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

301×

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: 3.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.4b	(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- 1.0 (* y z))
47.0ms	(* x (- 1.0 (* y z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	143	187
1	560	166
2	2091	166
3	5003	166

prune75.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	32	10	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	10	43

Merged error: 3.5b

Counts

43 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
6.7b	(* 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))))
5.0ms	(* x (- (* y z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* x 1.0) (* x (- (* y z))))
25.0ms	(* x (- (* y z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (39.0ms)

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

prune75.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (- y)) z))
4.5b	(* (* x (- y)) z)

rewrite13.0ms

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)

series80.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x 1.0) (* (* x (- y)) z))
25.0ms	(* (* x (- y)) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (33.0ms)

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

prune66.0ms

Filtered

38 candidates to 28 candidates (73.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	37	8	45

Merged error: 0.0b

Counts

45 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.3b	(* (* (* x (- y)) (* (cbrt z) (cbrt z))) (cbrt z))
3.2b	(* (* x (- y)) (* (cbrt z) (cbrt z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
3×	`distribute-lft-neg-out`
2×	`pow1/3` `associate-l` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* (* (* x (- y)) (* (cbrt z) (cbrt z))) (cbrt z))
10.0ms	(* (* x (- y)) (* (cbrt z) (cbrt z)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt z)
184.0ms	(cbrt z)
52.0ms	(* (* (* x (- y)) (* (cbrt z) (cbrt z))) (cbrt z))
120.0ms	(* (* x (- y)) (* (cbrt z) (cbrt z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	295	603
1	1551	448
2	5001	398

prune154.0ms

Filtered

88 candidates to 56 candidates (63.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

regimes270.0ms

Accuracy

90.7% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.6b

bsearch1.0ms

simplify2.0ms

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

sample387.0ms

Algorithm

intervals

Results

198.0ms

9522×

body

valid