Details

sample268.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 0.0b

Counts

2 → 1

localize6.0ms

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: 0.0b

Counts

25 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.0b	(cbrt (* (+ x y) z))
3.0b	(cbrt (* (+ x y) z))
3.0b	(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))
5.0ms	(cbrt (* (+ x y) z))
5.0ms	(cbrt (* (+ x y) z))

series430.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
100.0ms	(cbrt (* (+ x y) z))
95.0ms	(cbrt (* (+ x y) z))
104.0ms	(cbrt (* (+ x y) z))

simplify141.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (133.0ms)

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

prune203.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt z)
0.6b	(cbrt z)
3.0b	(cbrt (* (+ x y) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt (+ x y))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(cbrt (* (+ x y) z))

series573.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ x y))
172.0ms	(cbrt z)
177.0ms	(cbrt z)
96.0ms	(cbrt (* (+ x y) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	262	264
1	654	246
2	2191	233
3	5001	232

prune170.0ms

Filtered

59 candidates to 52 candidates (88.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Merged error: 0b

Counts

66 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (* (+ x y) z)) 6)
3.0b	(cbrt (* (+ x y) z))
3.0b	(cbrt (* (+ x y) z))
27.6b	(cbrt (pow (cbrt (* (+ x y) z)) 6))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 57

Calls

4 calls:

3.0ms	(pow (cbrt (* (+ x y) z)) 6)
4.0ms	(cbrt (* (+ x y) z))
4.0ms	(cbrt (* (+ x y) z))
3.0ms	(cbrt (pow (cbrt (* (+ x y) z)) 6))

series449.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(pow (cbrt (* (+ x y) z)) 6)
97.0ms	(cbrt (* (+ x y) z))
95.0ms	(cbrt (* (+ x y) z))
125.0ms	(cbrt (pow (cbrt (* (+ x y) z)) 6))

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	333	493
1	1080	454
2	5001	413

prune165.0ms

Filtered

69 candidates to 54 candidates (78.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	69	7	76

Merged error: 0b

Counts

76 → 7

regimes135.0ms

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

sample399.0ms

Algorithm

intervals

Results

200.0ms

10195×

body

valid