Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	350×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify39.0ms

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

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

rewrite47.0ms

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))
6.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
11.0ms	(+ (+ (+ y z) z) y)

series154.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
23.0ms	(+ (+ y z) z)
59.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
31.0ms	(+ (+ (+ y z) z) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

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

prune161.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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)) (* x t))
7.0ms	(* (* 2 x) (+ y z))
10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series153.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
39.0ms	(* (* 2 x) (+ y z))
63.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	340	386
1	1791	356
2	5002	356

prune103.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0.0b

Counts

61 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.7b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.7b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.7b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite47.0ms

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))))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
153.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
147.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
153.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (28.0ms)

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

prune253.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (cbrt (pow (+ (+ y z) z) 3)) y) t)) (* y 5.0))
0.0b	(+ (+ y z) z)
0.0b	(+ (cbrt (pow (+ (+ y z) z) 3)) y)
36.1b	(cbrt (pow (+ (+ y z) z) 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`cbrt-prod`
13×	`add-log-exp`
10×	`distribute-lft-out`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`unpow-prod-down` `cube-prod` `sum-log`
4×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`+-commutative` `associate-+l+`
2×	`cube-div` `cbrt-div`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

17.0ms	(+ (* x (+ (+ (cbrt (pow (+ (+ y z) z) 3)) y) t)) (* y 5.0))
6.0ms	(+ (+ y z) z)
12.0ms	(+ (cbrt (pow (+ (+ y z) z) 3)) y)
7.0ms	(cbrt (pow (+ (+ y z) z) 3))

series229.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* x (+ (+ (cbrt (pow (+ (+ y z) z) 3)) y) t)) (* y 5.0))
23.0ms	(+ (+ y z) z)
61.0ms	(+ (cbrt (pow (+ (+ y z) z) 3)) y)
41.0ms	(cbrt (pow (+ (+ y z) z) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	390	520
1	1652	461
2	5002	457

prune163.0ms

Filtered

79 candidates to 54 candidates (68.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

regimes79.0ms

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	20	7
1	20	7

end0.0ms

sample690.0ms

Algorithm

intervals

Results

388.0ms	10657×	body	80	valid
13.0ms	81×	body	1280	valid
12.0ms	92×	body	640	valid
6.0ms	56×	body	320	valid
2.0ms	31×	body	160	valid