Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

298×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

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

series48.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
33.0ms	(+ (* x y) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune38.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `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 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
65.0ms	(cbrt (+ (* x y) x))
60.0ms	(cbrt (+ (* x y) x))
66.0ms	(cbrt (+ (* x y) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	346	1018
1	1249	963
2	5001	888

prune225.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series259.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (+ (* x y) x))
66.0ms	(cbrt (+ (* x y) x))
65.0ms	(cbrt (+ (* x y) x))
61.0ms	(cbrt (+ (* x y) x))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	178	612
1	469	584
2	1657	488
3	5001	476

prune218.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) x) 3)) y)
0.0b	(+ (* x y) x)
0.1b	(pow (+ (* x y) x) 3)
40.2b	(cbrt (pow (+ (* x y) x) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ (* x y) x) 3)) y)
4.0ms	(+ (* x y) x)
5.0ms	(pow (+ (* x y) x) 3)
5.0ms	(cbrt (pow (+ (* x y) x) 3))

series115.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (cbrt (pow (+ (* x y) x) 3)) y)
30.0ms	(+ (* x y) x)
31.0ms	(pow (+ (* x y) x) 3)
34.0ms	(cbrt (pow (+ (* x y) x) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	269	449
1	1286	401
2	5001	384

prune115.0ms

Filtered

83 candidates to 50 candidates (60.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Merged error: 0b

Counts

86 → 3

regimes47.0ms

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	8	3
1	8	3

end0.0ms

sample313.0ms

Algorithm

intervals

Results

164.0ms	9136×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid