Details

sample62.0ms

Algorithm

intervals

Results

42.0ms

699×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
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` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

15.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series276.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
55.0ms	(* (* a a) (+ 1.0 a))
48.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
104.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify103.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	658	794
1	3720	707
2	5001	707

prune293.0ms

Filtered

104 candidates to 69 candidates (66.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series802.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
347.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify104.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	211	1498
1	681	1419
2	3274	1337
3	5001	1330

prune479.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

10.6b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series607.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	156	655
1	373	609
2	1313	593
3	5001	593

prune454.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	71	9	80

Merged error: 0.0b

Counts

80 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

11.6b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.6b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

5.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series604.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	140	598
1	298	564
2	971	560
3	3919	556
4	5001	556

prune418.0ms

Filtered

80 candidates to 68 candidates (85.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

regimes280.0ms

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	27	15
1	27	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

20696×

body

valid