Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	343×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
13.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
17.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series156.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)
60.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
38.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune158.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 2 x) (+ y z)) (* x t))
0.0b	(* (* 2 x) (+ y z))
0.0b	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `sum-log`
3×	`associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
7.0ms	(* (* 2 x) (+ y z))
10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
43.0ms	(* (* 2 x) (+ y z))
56.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	340	386
1	1791	356
2	5002	356

prune116.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series623.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
150.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
144.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
149.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	271	1036
1	1002	942
2	5001	871

prune261.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
15.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
151.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
151.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
145.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	153	552
1	469	500
2	2500	484
3	5001	476

prune243.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

regimes208.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample684.0ms

Algorithm

intervals

Results

382.0ms	10616×	body	80	valid
13.0ms	79×	body	1280	valid
12.0ms	93×	body	640	valid
6.0ms	65×	body	320	valid
2.0ms	35×	body	160	valid

Details

sample26.0ms

simplify37.0ms

prune2.0ms

localize10.0ms

rewrite47.0ms

series156.0ms

simplify48.0ms

prune158.0ms

localize15.0ms

rewrite26.0ms

series144.0ms

simplify55.0ms

prune116.0ms

localize19.0ms

rewrite46.0ms

series623.0ms

simplify40.0ms

prune261.0ms

localize20.0ms

rewrite52.0ms

series594.0ms

simplify60.0ms

prune243.0ms

regimes208.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample684.0ms

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