Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

284×

body

valid

simplify116.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

rewrite9.0ms

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:

3.0ms	(+ (* x y) x)
5.0ms	(+ (+ (* x y) x) y)

series57.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x y) x)
17.0ms	(+ (+ (* x y) x) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5002	126

prune51.0ms

Filtered

31 candidates to 21 candidates (32.3%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(+ (cbrt (pow (+ (* x y) x) 3)) y)
0.2b	(pow (+ (* x y) x) 3)
38.5b	(cbrt (pow (+ (* x y) x) 3))

rewrite23.0ms

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:

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

series133.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x y) x)
16.0ms	(+ (cbrt (pow (+ (* x y) x) 3)) y)
37.0ms	(pow (+ (* x y) x) 3)
40.0ms	(cbrt (pow (+ (* x y) x) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

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

prune189.0ms

Filtered

83 candidates to 50 candidates (39.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.0b

Counts

86 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x y) x) y))
0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (+ (* x y) x) y)
0.2b	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

5.0ms	(sqrt (+ (+ (* x y) x) y))
6.0ms	(+ (+ (* x y) x) y)
6.0ms	(+ (+ (* x y) x) y)
15.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (+ (+ (* x y) x) y))
17.0ms	(+ (+ (* x y) x) y)
19.0ms	(+ (+ (* x y) x) y)
17.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	259	771
1	1031	706
2	5002	684

prune193.0ms

Filtered

118 candidates to 62 candidates (47.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

regimes109.0ms

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

sample381.0ms

Algorithm

intervals

Results

177.0ms

9191×

body

valid

Details

sample16.0ms

simplify116.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series57.0ms

simplify50.0ms

prune51.0ms

localize8.0ms

rewrite23.0ms

series133.0ms

simplify44.0ms

prune189.0ms

localize7.0ms

rewrite35.0ms

series158.0ms

simplify42.0ms

prune193.0ms

regimes109.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample381.0ms

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