Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	8
4	5001	8

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: 18.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

492×	`*-un-lft-identity`
454×	`add-sqr-sqrt`
448×	`associate-l`
420×	`times-frac`
238×	`associate-r`
212×	`add-cube-cbrt`
135×	`unswap-sqr`
132×	`distribute-lft-out`
104×	`swap-sqr`
79×	`*-commutative`
60×	`frac-times` `flip3-+` `flip-+`
35×	`associate-/r*`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-/l*`
6×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `div-exp`
4×	`associate-+l+` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv`

Counts

3 → 641

Calls

3 calls:

11.0ms	(* (+ x y) (+ x y))
20.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
35.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
42.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
161.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify125.0ms

Algorithm

egg-herbie

Counts

650 → 650

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2436	7610
1	5002	7442

prune942.0ms

Filtered

650 candidates to 307 candidates (47.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	638	12	650
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	639	12	651

Merged error: 0.0b

Counts

651 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fabs (+ x y)) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`cbrt-undiv`
1×	`frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 81

Calls

4 calls:

4.0ms	(/ (fabs (+ x y)) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series612.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (fabs (+ x y)) (cbrt x))
180.0ms	(cbrt x)
181.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	155	503
1	437	476
2	1437	466
3	5002	455

prune311.0ms

Filtered

93 candidates to 76 candidates (81.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	94	11	105

Merged error: 0.0b

Counts

105 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fabs (+ x y)))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fabs (+ x y)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series599.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (fabs (+ x y)))
187.0ms	(cbrt x)
183.0ms	(cbrt x)
187.0ms	(cbrt x)

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	63	210
1	129	194
2	302	186
3	1094	186
4	5001	186

prune259.0ms

Filtered

64 candidates to 54 candidates (84.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	1	8	9
Picked	1	0	1
Done	1	0	1
Total	64	11	75

Merged error: 0.0b

Counts

75 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fabs (+ x y)))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fabs (+ x y)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series583.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (fabs (+ x y)))
178.0ms	(cbrt x)
184.0ms	(cbrt x)
179.0ms	(cbrt x)

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	63	210
1	129	194
2	302	186
3	1094	186
4	5001	186

prune263.0ms

Filtered

64 candidates to 54 candidates (84.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	65	10	75

Merged error: 0.0b

Counts

75 → 10

regimes89.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	36
1	27	36

end0.0ms

sample364.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid