Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

329×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	413	9
1	413	9

prune9.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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)

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (* (* (- y x) 6.0) z))
4.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) z)

simplify24.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5026	521

prune80.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (* (- y x) (* 6.0 z)))
8.0ms	(* (- y x) (* 6.0 z))

simplify36.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5024	376

prune48.0ms

Filtered

23 candidates to 39 candidates (-69.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
10.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
7.0ms	(* (- y x) (sqrt 6.0))
9.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series52.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
17.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
6.0ms	(* (- y x) (sqrt 6.0))
9.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5027	777

prune101.0ms

Filtered

52 candidates to 95 candidates (-82.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series89.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify69.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5837	334

prune67.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

regimes240.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample604.0ms

Algorithm

intervals

Results

271.0ms

10112×

body

valid

Details

sample23.0ms

simplify16.0ms

prune9.0ms

localize6.0ms

rewrite17.0ms

series24.0ms

simplify24.0ms

prune80.0ms

localize6.0ms

rewrite11.0ms

series19.0ms

simplify36.0ms

prune48.0ms

localize10.0ms

rewrite31.0ms

series52.0ms

simplify43.0ms

prune101.0ms

localize12.0ms

rewrite10.0ms

series89.0ms

simplify69.0ms

prune67.0ms

regimes240.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample604.0ms

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