Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

358×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (* x y) z)
10.0ms	(* (+ (* x y) z) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x y) z)
37.0ms	(* (+ (* x y) z) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	138	181
1	538	159
2	2932	158
3	5002	158

prune59.0ms

Filtered

41 candidates to 25 candidates (61.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.7b	(cbrt (* (+ (* x y) z) y))
7.7b	(cbrt (* (+ (* x y) z) y))
7.7b	(cbrt (* (+ (* x y) z) y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

134×	`cbrt-prod`
93×	`*-un-lft-identity`
83×	`associate-l`
67×	`add-sqr-sqrt`
38×	`associate-r`
29×	`add-cube-cbrt` `swap-sqr`
26×	`distribute-lft-out`
22×	`unswap-sqr`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 173

Calls

4 calls:

30.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
11.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series553.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
127.0ms	(cbrt (* (+ (* x y) z) y))
125.0ms	(cbrt (* (+ (* x y) z) y))
130.0ms	(cbrt (* (+ (* x y) z) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	435	1999
1	1458	1896
2	5001	1676

prune371.0ms

Filtered

185 candidates to 120 candidates (64.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	186	5	191

Merged error: 0b

Counts

191 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.7b	(cbrt y)
7.7b	(cbrt (* (+ (* x y) z) y))
7.7b	(cbrt (* (+ (* x y) z) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
24×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt`
6×	`cbrt-div` `associate-r` `distribute-lft-out`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

10.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
11.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ (* x y) z))
177.0ms	(cbrt y)
129.0ms	(cbrt (* (+ (* x y) z) y))
129.0ms	(cbrt (* (+ (* x y) z) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	296	608
1	785	580
2	3182	554
3	5001	539

prune250.0ms

Filtered

86 candidates to 68 candidates (79.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
3.3b	(cbrt (* (cbrt (+ (* x y) z)) y))
7.7b	(cbrt (* (+ (* x y) z) y))
7.7b	(cbrt (* (+ (* x y) z) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
31×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
22×	`associate-l`
15×	`add-cube-cbrt`
10×	`cbrt-div`
9×	`associate-r`
8×	`distribute-lft-out`
6×	`associate-*l/`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp` `unswap-sqr`
3×	`*-commutative`

Counts

4 → 91

Calls

4 calls:

8.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (* (cbrt (+ (* x y) z)) y))
11.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))

series616.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ (* x y) z))
233.0ms	(cbrt (* (cbrt (+ (* x y) z)) y))
130.0ms	(cbrt (* (+ (* x y) z) y))
136.0ms	(cbrt (* (+ (* x y) z) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	431	878
1	1253	842
2	5001	810

prune361.0ms

Filtered

103 candidates to 85 candidates (82.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample526.0ms

Algorithm

intervals

Results

265.0ms

11211×

body

valid