Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

330×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (+ z x)))
0.0b	(* y (+ z x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series53.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* y (+ z x)))
24.0ms	(* y (+ z x))

simplify93.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune59.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (+ (* y z) (* y x)))
0.0b	(+ (* y z) (* y x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (+ (* y z) (* y x)))
26.0ms	(+ (* y z) (* y x))

simplify84.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	171	168
1	679	149
2	2849	147
3	5001	147

prune51.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
0.1b	(* (sqrt y) (+ z x))
0.2b	(* (sqrt y) (* (sqrt y) (+ z x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-*r/`
5×	`associate-r` `add-log-exp`
4×	`associate-+r+` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

3.0ms	(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
9.0ms	(* (sqrt y) (+ z x))
9.0ms	(* (sqrt y) (* (sqrt y) (+ z x)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
70.0ms	(* (sqrt y) (+ z x))
38.0ms	(* (sqrt y) (* (sqrt y) (+ z x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	356	435
1	1586	355
2	5002	348

prune121.0ms

Filtered

78 candidates to 54 candidates (69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
0.1b	(* y (sqrt (+ z x)))
0.1b	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 66

Calls

3 calls:

3.0ms	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
7.0ms	(* y (sqrt (+ z x)))
14.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
61.0ms	(* y (sqrt (+ z x)))
44.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	384	544
1	1689	443
2	5002	428

prune126.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Merged error: 0b

Counts

78 → 3

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample402.0ms

Algorithm

intervals

Results

203.0ms

10026×

body

valid