Details

sample72.0ms

Algorithm

intervals

Results

36.0ms

509×

body

valid

simplify144.0ms

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

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.4b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.3b	(* (* j 27.0) k)
3.4b	(* (* (* x 18.0) y) z)
7.0b	(* (* (* (* x 18.0) y) z) t)

rewrite31.0ms

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	(* (* a 4.0) t)
5.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
12.0ms	(* (* (* (* x 18.0) y) z) t)

series110.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* a 4.0) t)
18.0ms	(* (* j 27.0) k)
30.0ms	(* (* (* x 18.0) y) z)
43.0ms	(* (* (* (* x 18.0) y) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	422	423
1	2302	320
2	5001	320

prune314.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.6b

Counts

94 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
0.3b	(* (* j 27.0) k)
9.3b	(* (* (* 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	(* (* x 18.0) y)
5.0ms	(* (* a 4.0) t)
5.0ms	(* (* j 27.0) k)
9.0ms	(* (* (* x 18.0) y) (* z t))

series104.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
20.0ms	(* (* a 4.0) t)
17.0ms	(* (* j 27.0) k)
47.0ms	(* (* (* x 18.0) y) (* z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	421	417
1	2198	309
2	5001	309

prune308.0ms

Filtered

94 candidates to 45 candidates (47.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 0.1b

Counts

104 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* x 18.0) y) (* z t)) (* a (* 4.0 t)))
0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
9.3b	(* (* (* x 18.0) y) (* z t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

8.0ms	(- (* (* (* x 18.0) y) (* z t)) (* a (* 4.0 t)))
5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
9.0ms	(* (* (* x 18.0) y) (* z t))

series191.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* (* (* x 18.0) y) (* z t)) (* a (* 4.0 t)))
20.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
43.0ms	(* (* (* x 18.0) y) (* z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	411	495
1	2088	391
2	5001	385

prune322.0ms

Filtered

88 candidates to 47 candidates (53.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x (* 18.0 y)) (* z t)) (* a (* 4.0 t)))
0.2b	(* x (* 18.0 y))
0.3b	(* (* j 27.0) k)
9.3b	(* (* x (* 18.0 y)) (* z t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

8.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* a (* 4.0 t)))
5.0ms	(* x (* 18.0 y))
5.0ms	(* (* j 27.0) k)
9.0ms	(* (* x (* 18.0 y)) (* z t))

series189.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* (* x (* 18.0 y)) (* z t)) (* a (* 4.0 t)))
20.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
47.0ms	(* (* x (* 18.0 y)) (* z t))

simplify70.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	411	495
1	1957	391
2	5001	385

prune286.0ms

Filtered

88 candidates to 48 candidates (54.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

regimes1.3s

Accuracy

43.8% (3.3b remaining)

Error of 3.5b against oracle of 0.2b and baseline of 6.1b

bsearch269.0ms

Steps

Iters	Range		Point
9	1.3618323579421514e+78	8.737587452716824e+84	1.3823260236202276e+78
8	-5.565652360880667e-49	-1.9255393435388084e-51	-2.4969181477197748e-49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	45
1	76	45

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16005×

body

valid