Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	362×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify36.0ms

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

rewrite45.0ms

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:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)

series148.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
57.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
29.0ms	(+ (+ (+ y z) z) y)
26.0ms	(+ (+ y z) z)

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

prune164.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

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)))

rewrite68.0ms

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:

10.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
10.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
10.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
30.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

435.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
239.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
240.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
291.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	266	1710
1	1014	1631
2	5001	1338

prune280.0ms

Filtered

143 candidates to 78 candidates (54.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	143	5	148

Merged error: 0.0b

Counts

148 → 5

localize16.0ms

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)))

rewrite75.0ms

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))))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
15.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

379.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
265.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
274.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
273.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

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

prune300.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.9b	(pow (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) 4)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

14.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
14.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
17.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
16.0ms	(pow (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) 4)

series1.3s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
274.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
262.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
475.0ms	(pow (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) 4)

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	418	1569
1	1369	1469
2	5002	1417

prune316.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample629.0ms

Algorithm

intervals

Results

328.0ms	10568×	body	80	valid
11.0ms	99×	body	640	valid
11.0ms	77×	body	1280	valid
5.0ms	63×	body	320	valid
2.0ms	38×	body	160	valid