Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

315×

body

valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	44	3
3	70	3
4	100	3
5	117	3
6	420	3
7	2976	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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.0b	(/ (* x (- y z)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
43×	`add-cube-cbrt`
42×	`times-frac`
25×	`associate-r`
18×	`prod-diff`
15×	`associate-l`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 123

Calls

2 calls:

7.0ms	(* x (- y z))
12.0ms	(/ (* x (- y z)) y)

series99.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (- y z))
52.0ms	(/ (* x (- y z)) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	463	851
1	2061	696
2	5001	696

prune261.0ms

Filtered

129 candidates to 80 candidates (62.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.6b	(/ x (/ y (- y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`add-sqr-sqrt` `*-un-lft-identity`
72×	`add-cube-cbrt`
31×	`associate-/r*`
21×	`associate-/r/`
17×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 153

Calls

2 calls:

6.0ms	(/ y (- y z))
11.0ms	(/ x (/ y (- y z)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ y (- y z))
63.0ms	(/ x (/ y (- y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	487	1083
1	2287	1045
2	5002	1042

prune396.0ms

Filtered

159 candidates to 118 candidates (74.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	160	6	166

Merged error: 0b

Counts

166 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.2b	(* x (/ (- y z) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
19×	`associate-r`
13×	`associate-*r/`
12×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
8×	`difference-of-squares`
6×	`associate-/r*`
4×	`pow1` `associate-/l/`
3×	`associate-l` `clear-num` `un-div-inv`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 95

Calls

2 calls:

7.0ms	(/ (- y z) y)
14.0ms	(* x (/ (- y z) y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- y z) y)
55.0ms	(* x (/ (- y z) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	316	443
1	1415	414
2	5001	413

prune223.0ms

Filtered

101 candidates to 70 candidates (69.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))

series702.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt y)
161.0ms	(cbrt (- y z))
162.0ms	(cbrt (- y z))
162.0ms	(cbrt (- y z))

simplify70.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	177	382
1	391	364
2	1203	353
3	5001	332

prune302.0ms

Filtered

76 candidates to 68 candidates (89.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Merged error: 0b

Counts

81 → 5

regimes71.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms

sample411.0ms

Algorithm

intervals

Results

213.0ms

9553×

body

valid