Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	12	2
3	13	2
4	13	2

prune2.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

5.0ms

(+ (+ x y) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (+ x y) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	82	65
1	241	60
2	854	58
3	4535	53
4	5002	53

prune22.0ms

Filtered

10 candidates to 18 candidates (-80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 105

Calls

4 calls:

15.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))
5.0ms	(cbrt (+ (+ x y) x))

series134.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
30.0ms	(cbrt (+ (+ x y) x))
30.0ms	(cbrt (+ (+ x y) x))
33.0ms	(cbrt (+ (+ x y) x))

simplify128.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	296	1023
1	943	972
2	4426	856
3	5001	851

prune105.0ms

Filtered

75 candidates to 117 candidates (-56.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
10×	`*-un-lft-identity`
8×	`cbrt-prod`
6×	`associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (+ (+ x y) x))
13.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
13.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
13.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (+ x y) x))
49.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
51.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
52.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

simplify74.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	275	1090
1	669	1032
2	2285	1011
3	5002	992

prune103.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x y) x)
39.4b	(cbrt (pow (+ (+ x y) x) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`cbrt-prod`
9×	`distribute-lft-out`
7×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
3×	`sum-log`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+l+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 42

Calls

2 calls:

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ x y) x)
6.0ms	(cbrt (pow (+ (+ x y) x) 3))

simplify100.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	178	201
1	693	200
2	3487	196
3	5002	185

prune32.0ms

Filtered

24 candidates to 48 candidates (-100.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	48	4	52

Merged error: 0.0b

Counts

52 → 4

regimes114.0ms

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	6	2
1	6	2

end0.0ms

sample292.0ms

Algorithm

intervals

Results

125.0ms

8006×

body

valid

Details

sample12.0ms

simplify6.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify94.0ms

prune22.0ms

localize7.0ms

rewrite33.0ms

series134.0ms

simplify128.0ms

prune105.0ms

localize13.0ms

rewrite47.0ms

series185.0ms

simplify74.0ms

prune103.0ms

localize8.0ms

rewrite16.0ms

series10.0ms

simplify100.0ms

prune32.0ms

regimes114.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample292.0ms

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