Details

sample51.0ms

Algorithm

intervals

Results

33.0ms

643×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

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

localize19.0ms

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)
0.4b	(* (* b b) (+ 3.0 a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-*r/` `prod-diff`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
10.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series263.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
51.0ms	(* (* a a) (- 1.0 a))
112.0ms	(pow (+ (* a a) (* b b)) 2.0)
34.0ms	(* (* b b) (+ 3.0 a))

simplify117.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	788	1033
1	4587	830
2	5001	830

prune407.0ms

Filtered

132 candidates to 83 candidates (62.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	6	133

Merged error: 0.1b

Counts

133 → 6

localize19.0ms

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)))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(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:

15.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series636.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (84.0ms)

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

prune510.0ms

Filtered

129 candidates to 96 candidates (74.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	126	9	135

Merged error: 0.0b

Counts

135 → 9

localize31.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.9b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

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:

5.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series655.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
166.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify54.0ms

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

prune459.0ms

Filtered

80 candidates to 70 candidates (87.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

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:

5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series639.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	106	680
1	233	632
2	782	624
3	3284	616
4	5002	616

prune413.0ms

Filtered

80 candidates to 68 candidates (85.0%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	80	11	91

Merged error: 0.0b

Counts

91 → 11

regimes347.0ms

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

sample1.6s

Algorithm

intervals

Results

1.3s

20683×

body

valid