Details

sample60.0ms

Algorithm

intervals

Results

41.0ms

699×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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)

rewrite34.0ms

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×	`add-cube-cbrt`
10×	`associate-r`
7×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `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 → 106

Calls

4 calls:

11.0ms	(* 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)

series268.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
52.0ms	(* (* a a) (+ 1.0 a))
48.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify114.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	725	894
1	4089	793
2	5001	790

prune353.0ms

Filtered

118 candidates to 82 candidates (69.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

localize21.0ms

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 (fma a a (* b b)) 2.0)

rewrite32.0ms

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×	`add-cube-cbrt`
10×	`associate-r`
7×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `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 → 106

Calls

4 calls:

12.0ms	(* 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)))
2.0ms	(pow (fma a a (* b b)) 2.0)

series273.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
47.0ms	(* (* a a) (+ 1.0 a))
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
108.0ms	(pow (fma a a (* b b)) 2.0)

simplify109.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	723	872
1	4076	775
2	5001	770

prune334.0ms

Filtered

118 candidates to 79 candidates (66.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Merged error: 0.0b

Counts

122 → 4

localize20.0ms

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))

rewrite33.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

13.0ms	(* (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))

series583.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
141.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	217	1556
1	702	1473
2	3308	1390
3	5001	1383

prune501.0ms

Filtered

129 candidates to 96 candidates (74.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	126	7	133

Merged error: 0.0b

Counts

133 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.0ms	(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))

series584.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660

prune395.0ms

Filtered

80 candidates to 70 candidates (87.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

regimes122.0ms

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	26	14
1	26	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

20696×

body

valid