Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	361×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid

simplify34.0ms

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

rewrite46.0ms

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

series33.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ (+ y z) z) y)
10.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune347.0ms

Filtered

83 candidates to 58 candidates (30.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
24.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune281.0ms

Filtered

85 candidates to 56 candidates (34.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
150×	`distribute-lft-out`
93×	`cbrt-prod`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
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 → 131

Calls

4 calls:

14.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
10.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
9.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
25.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
42.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
45.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
56.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	283	1752
1	962	1646
2	5001	1367

prune638.0ms

Filtered

143 candidates to 75 candidates (47.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Merged error: 0.0b

Counts

149 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

30.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
15.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
63.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
62.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune438.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

regimes417.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample914.0ms

Algorithm

intervals

Results

388.0ms	10672×	body	80	valid
15.0ms	91×	body	1280	valid
12.0ms	90×	body	640	valid
6.0ms	58×	body	320	valid
3.0ms	38×	body	160	valid

Details

sample36.0ms

simplify34.0ms

prune5.0ms

localize10.0ms

rewrite46.0ms

series33.0ms

simplify47.0ms

prune347.0ms

localize14.0ms

rewrite10.0ms

series91.0ms

simplify73.0ms

prune281.0ms

localize15.0ms

rewrite66.0ms

series187.0ms

simplify46.0ms

prune638.0ms

localize15.0ms

rewrite72.0ms

series307.0ms

simplify53.0ms

prune438.0ms

regimes417.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample914.0ms

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