Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	374×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	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

localize11.0ms

Local error

Found 4 expressions with local error:

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

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:

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

series175.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
29.0ms	(+ (+ y z) z)
34.0ms	(+ (+ (+ y z) z) y)
48.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

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

prune183.0ms

Filtered

83 candidates to 58 candidates (69.9%)

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

8.0ms	(* (* 2 x) (+ y z))
11.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
9.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series160.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* 2 x) (+ y z))
65.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
52.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify61.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	340	390
1	1791	357
2	5001	357

prune118.0ms

Filtered

58 candidates to 40 candidates (69.0%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
0.6b	(cbrt (+ (+ y z) z))
0.6b	(cbrt (+ (+ y z) z))
0.6b	(cbrt (+ (+ y z) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

16.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
6.0ms	(cbrt (+ (+ y z) z))
6.0ms	(cbrt (+ (+ y z) z))
6.0ms	(cbrt (+ (+ y z) z))

series674.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
156.0ms	(cbrt (+ (+ y z) z))
160.0ms	(cbrt (+ (+ y z) z))
155.0ms	(cbrt (+ (+ y z) z))

simplify140.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	281	989
1	874	938
2	4112	827
3	5002	822

prune303.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.6b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.6b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.6b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite51.0ms

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))))
13.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
13.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
14.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series686.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
160.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
165.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
161.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	1036
1	1002	942
2	5001	873

prune266.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

regimes124.0ms

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

sample680.0ms

Algorithm

intervals

Results

375.0ms	10738×	body	80	valid
11.0ms	70×	body	1280	valid
10.0ms	78×	body	640	valid
5.0ms	51×	body	320	valid
3.0ms	35×	body	160	valid