Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

323×

body

valid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	65	4
3	128	4
4	174	4
5	189	4
6	206	4
7	255	4
8	350	4
9	625	4
10	1352	4
11	1953	4
12	2733	4
13	3707	4
14	5002	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: 0.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.5b	(* (* (- y x) 6.0) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) 6.0) z))
6.0ms	(* (- y x) 6.0)
7.0ms	(* (* (- y x) 6.0) z)

series110.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (* (* (- y x) 6.0) z))
28.0ms	(* (- y x) 6.0)
40.0ms	(* (* (- y x) 6.0) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	246	290
1	1073	249
2	5001	249

prune104.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.3b	(* (- y x) (* 6.0 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) (* 6.0 z)))
7.0ms	(* (- y x) (* 6.0 z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* (- y x) (* 6.0 z)))
36.0ms	(* (- y x) (* 6.0 z))

simplify102.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	206	210
1	717	179
2	3878	179
3	5003	179

prune66.0ms

Filtered

39 candidates to 24 candidates (61.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* y y) (* x x)) 6.0)
2.7b	(- (* y y) (* x x))
9.4b	(* (* (- (* y y) (* x x)) 6.0) z)
18.8b	(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r` `add-log-exp`
5×	`associate-l`
4×	`flip3--` `times-frac` `pow-prod-down` `associate-/r*` `flip--`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* (- (* y y) (* x x)) 6.0)
4.0ms	(- (* y y) (* x x))
7.0ms	(* (* (- (* y y) (* x x)) 6.0) z)
13.0ms	(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

series191.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* y y) (* x x)) 6.0)
30.0ms	(- (* y y) (* x x))
52.0ms	(* (* (- (* y y) (* x x)) 6.0) z)
63.0ms	(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

simplify66.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	396	690
1	2263	562
2	5001	562

prune182.0ms

Filtered

95 candidates to 61 candidates (64.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	96	6	102

Merged error: 0b

Counts

102 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* z (- y x)) 6.0))
0.0b	(* z (- y x))
0.3b	(* (* z (- y x)) 6.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

3.0ms	(+ x (* (* z (- y x)) 6.0))
8.0ms	(* z (- y x))
7.0ms	(* (* z (- y x)) 6.0)

series128.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ x (* (* z (- y x)) 6.0))
38.0ms	(* z (- y x))
46.0ms	(* (* z (- y x)) 6.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	252	308
1	1107	263
2	5001	263

prune103.0ms

Filtered

66 candidates to 40 candidates (60.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	2	0	2
Picked	0	1	1
Done	0	3	3
Total	66	6	72

Merged error: 0b

Counts

72 → 6

regimes87.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample425.0ms

Algorithm

intervals

Results

228.0ms

10181×

body

valid