Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

308×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

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: 11.7b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.2b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
7.0ms	(/ (* x (- y z)) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y z))
49.0ms	(/ (* x (- y z)) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune92.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.3b	(/ x (/ y (- y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- y z))
49.0ms	(/ x (/ y (- y z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune290.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	7	0	7
Picked	0	1	1
Done	0	0	0
Total	146	7	153

Merged error: 0b

Counts

153 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3--` `flip--` `distribute-lft-out--`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

11.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series665.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
189.0ms	(cbrt y)
172.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify136.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	222	556
1	760	525
2	3549	478
3	5001	474

prune291.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0b

Counts

108 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
5.2b	(/ (* x z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- x (/ (* x z) y))
4.0ms	(/ (* x z) y)

series51.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- x (/ (* x z) y))
23.0ms	(/ (* x z) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	163	174
1	692	158
2	3437	158
3	5001	158

prune65.0ms

Filtered

41 candidates to 27 candidates (65.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	42	6	48

Merged error: 0b

Counts

48 → 6

regimes69.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15

end0.0ms

sample383.0ms

Algorithm

intervals

Results

199.0ms

9657×

body

valid