Details

sample30.0ms

Algorithm

intervals

Results

15.0ms	335×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize12.0ms

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))

rewrite50.0ms

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:

9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
16.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
17.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series194.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (+ (+ y z) z) y)
29.0ms	(+ (+ y z) z)
73.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
53.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify54.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (47.0ms)

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

prune195.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:

7.0ms	(* (* 2 x) (+ y z))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
14.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series162.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (* 2 x) (+ y z))
54.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
63.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5002	357

prune121.0ms

Filtered

58 candidates to 39 candidates (67.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Merged error: 0.0b

Counts

66 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

10.0ms	(+ (+ y (+ z z)) y)
15.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
18.0ms	(* x (+ (+ (+ y (+ z z)) y) t))

series148.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ y (+ z z)) y)
68.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
46.0ms	(* x (+ (+ (+ y (+ z z)) y) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	421
1	1439	385
2	5002	385

prune125.0ms

Filtered

65 candidates to 42 candidates (64.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.9b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.9b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.9b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite49.0ms

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:

9.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
13.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
13.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series709.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
170.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
163.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
169.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

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

prune260.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

regimes179.0ms

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

sample701.0ms

Algorithm

intervals

Results

396.0ms	10595×	body	80	valid
18.0ms	103×	body	1280	valid
13.0ms	93×	body	640	valid
6.0ms	61×	body	320	valid
1.0ms	21×	body	160	valid

Details

sample30.0ms

simplify43.0ms

prune3.0ms

localize12.0ms

rewrite50.0ms

series194.0ms

simplify54.0ms

prune195.0ms

localize11.0ms

rewrite31.0ms

series162.0ms

simplify59.0ms

prune121.0ms

localize10.0ms

rewrite44.0ms

series148.0ms

simplify47.0ms

prune125.0ms

localize18.0ms

rewrite49.0ms

series709.0ms

simplify40.0ms

prune260.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample701.0ms

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