Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	342×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid

simplify35.0ms

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

prune5.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 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))
0.0b	(+ (+ y z) z)

rewrite43.0ms

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)
13.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (+ (+ y z) z) y)
65.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
43.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
32.0ms	(+ (+ y z) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5003	419

prune339.0ms

Filtered

83 candidates to 58 candidates (30.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize10.0ms

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))

rewrite24.0ms

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:

6.0ms	(* (* 2 x) (+ y z))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
9.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series165.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (* 2 x) (+ y z))
51.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
64.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

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

prune156.0ms

Filtered

58 candidates to 40 candidates (31.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t))) (* y 5.0))
0.0b	(+ (+ y z) z)
0.1b	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
0.2b	(* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `distribute-lft-out`
12×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
8×	`associate-r`
7×	`sqrt-prod`
6×	`associate-*r/`
5×	`associate-+l+`
4×	`flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`
2×	`+-commutative` `*-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

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

series634.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(+ (* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t))) (* y 5.0))
31.0ms	(+ (+ y z) z)
198.0ms	(* (sqrt x) (+ (+ (+ (+ y z) z) y) t))
151.0ms	(* (sqrt x) (* (sqrt x) (+ (+ (+ (+ y z) z) y) t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	460	764
1	2047	660
2	5002	658

prune422.0ms

Filtered

99 candidates to 68 candidates (31.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.1b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
19×	`*-un-lft-identity`
16×	`sqrt-div`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr` `distribute-lft-out`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

6.0ms	(+ (+ y z) z)
12.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
28.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series1.9s

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ y z) z)
889.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
871.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
66.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	394	1426
1	1608	1275
2	5001	1237

prune558.0ms

Filtered

114 candidates to 68 candidates (40.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

regimes405.0ms

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

sample887.0ms

Algorithm

intervals

Results

377.0ms	10586×	body	80	valid
15.0ms	93×	body	1280	valid
15.0ms	114×	body	640	valid
6.0ms	65×	body	320	valid
2.0ms	33×	body	160	valid

Details

sample38.0ms

simplify35.0ms

prune5.0ms

localize10.0ms

rewrite43.0ms

series180.0ms

simplify46.0ms

prune339.0ms

localize10.0ms

rewrite24.0ms

series165.0ms

simplify54.0ms

prune156.0ms

localize12.0ms

rewrite57.0ms

series634.0ms

simplify60.0ms

prune422.0ms

localize12.0ms

rewrite61.0ms

series1.9s

simplify59.0ms

prune558.0ms

regimes405.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample887.0ms

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