Details

sample64.0ms

Algorithm

intervals

Results

45.0ms

626×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

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: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

14.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
8.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series301.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
86.0ms	(* (* a a) (- 1.0 a))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify98.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	641	720
1	3571	649
2	5001	649

prune247.0ms

Filtered

106 candidates to 71 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Merged error: 0.1b

Counts

107 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

9.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
93.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	271	484
1	1307	442
2	5002	433

prune284.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	71	9	80

Merged error: 0.0b

Counts

80 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (+ (* a a) (* b b)))
3.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ (* a a) (* b b)))
93.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	123	488
1	408	452
2	1386	444
3	5001	444

prune338.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	6	6
Picked	1	0	1
Done	1	1	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))
95.0ms	(cbrt (+ (* a a) (* b b)))
92.0ms	(cbrt (+ (* a a) (* b b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	123	488
1	408	452
2	1386	444
3	5001	444

prune371.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

regimes262.0ms

Accuracy

0% (0.1b 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	25	14
1	25	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

20286×

body

valid