Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	349×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	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)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)

rewrite49.0ms

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:

17.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)
9.0ms	(+ (+ (+ y z) z) y)

series153.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
24.0ms	(+ (+ y z) z)
31.0ms	(+ (+ (+ y z) z) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune161.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

12.0ms	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))
9.0ms	(* x (+ (* 2 (+ z y)) t))

series95.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))
38.0ms	(* x (+ (* 2 (+ z y)) t))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	252	290
1	1169	254
2	5001	254

prune82.0ms

Filtered

41 candidates to 31 candidates (75.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
0.5b	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

rewrite54.0ms

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:

9.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
22.0ms	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
339.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
339.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))
469.0ms	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	331	1671
1	1220	1564
2	5001	1453

prune287.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

24.0ms	(* (cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
9.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

483.0ms	(* (cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0)))))
339.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
345.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))
340.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	350	2413
1	1240	2274
2	5001	2102

prune391.0ms

Filtered

122 candidates to 90 candidates (73.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

regimes132.0ms

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	18	6
1	18	6

end0.0ms

sample682.0ms

Algorithm

intervals

Results

389.0ms	10669×	body	80	valid
14.0ms	85×	body	1280	valid
11.0ms	84×	body	640	valid
4.0ms	43×	body	320	valid
2.0ms	24×	body	160	valid