Details

sample76.0ms

Algorithm

intervals

Results

41.0ms

506×

body

valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune15.0ms

Filtered

1 candidates to 1 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: 4.7b

Counts

2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
2.7b	(* (* (* x 18.0) y) z)
5.6b	(* (* (* (* x 18.0) y) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 4.0) i)
5.0ms	(* (* x 18.0) y)
7.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
25.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* (* x 18.0) y) z) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	355	423
1	2132	320
2	5001	320

prune331.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	6	95

Merged error: 0.8b

Counts

95 → 6

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
8.0b	(* (* (* x 18.0) y) (* z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 82

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* (* x 4.0) i)
5.0ms	(* (* x 18.0) y)
9.0ms	(* (* (* x 18.0) y) (* z t))

series99.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 4.0) i)
23.0ms	(* (* x 18.0) y)
41.0ms	(* (* (* x 18.0) y) (* z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	417
1	2195	309
2	5001	309

prune263.0ms

Filtered

94 candidates to 45 candidates (47.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.3b

Counts

100 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* 18.0 (* x y))
0.2b	(* (* x 4.0) i)
8.0b	(* (* 18.0 (* x y)) (* z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 82

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* 18.0 (* x y))
5.0ms	(* (* x 4.0) i)
9.0ms	(* (* 18.0 (* x y)) (* z t))

series111.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* j 27.0) k)
19.0ms	(* 18.0 (* x y))
19.0ms	(* (* x 4.0) i)
45.0ms	(* (* 18.0 (* x y)) (* z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	416	417
1	1966	309
2	5002	309

prune258.0ms

Filtered

94 candidates to 44 candidates (46.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	94	8	102

Merged error: 0.0b

Counts

102 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* 18.0 (* x y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* x (* 4.0 i))) (* (* j 27.0) k))
0.2b	(* (* j 27.0) k)
0.2b	(* 18.0 (* x y))
8.0b	(* (* 18.0 (* x y)) (* z t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
8×	`diff-log`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`associate--l+`
3×	`*-commutative`
2×	`sub-neg` `sum-log`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 83

Calls

4 calls:

18.0ms	(- (- (+ (- (* (* 18.0 (* x y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* x (* 4.0 i))) (* (* j 27.0) k))
5.0ms	(* (* j 27.0) k)
5.0ms	(* 18.0 (* x y))
9.0ms	(* (* 18.0 (* x y)) (* z t))

series2.7s

Counts

4 → 12

Calls

4 calls:

2.6s	(- (- (+ (- (* (* 18.0 (* x y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* x (* 4.0 i))) (* (* j 27.0) k))
22.0ms	(* (* j 27.0) k)
19.0ms	(* 18.0 (* x y))
42.0ms	(* (* 18.0 (* x y)) (* z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	452	709
1	1988	587
2	5002	576

prune236.0ms

Filtered

95 candidates to 48 candidates (50.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

regimes1.2s

Accuracy

53.9% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 5.9b

bsearch240.0ms

Steps

Iters	Range		Point
6	2.308725351062486e-193	1.4420643419369401e-192	1.4243141725563254e-192
8	-6.519637746867637e+69	-2.702178587287155e+66	-2.739319606066387e+66

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	35
1	66	35

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

16263×

body

valid