Details

sample278.0ms

Algorithm

intervals

Results

8.0ms

320×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune4.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (+ x y) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune51.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0b

Counts

25 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
1.3b	(cbrt (* (+ x y) z))
1.3b	(cbrt (* (+ x y) z))
1.3b	(cbrt (* (+ x y) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
4.0ms	(cbrt (* (+ x y) z))
4.0ms	(cbrt (* (+ x y) z))
4.0ms	(cbrt (* (+ x y) z))

series435.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
102.0ms	(cbrt (* (+ x y) z))
96.0ms	(cbrt (* (+ x y) z))
106.0ms	(cbrt (* (+ x y) z))

simplify142.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	320	662
1	1035	608
2	4759	548
3	5001	543

prune192.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series705.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt z) (cbrt z))
170.0ms	(cbrt z)
169.0ms	(cbrt z)
173.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune146.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.2b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
0.8b	(sqrt (* (+ x y) z))
0.8b	(sqrt (* (+ x y) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ x y) z)
13.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms	(sqrt (* (+ x y) z))
6.0ms	(sqrt (* (+ x y) z))

series223.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
20.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
90.0ms	(sqrt (* (+ x y) z))
92.0ms	(sqrt (* (+ x y) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	262	514
1	1181	461
2	5002	441

prune155.0ms

Filtered

116 candidates to 66 candidates (56.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	116	5	121

Merged error: 0b

Counts

121 → 5

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample403.0ms

Algorithm

intervals

Results

199.0ms

10195×

body

valid