Details

sample77.0ms

Algorithm

intervals

Results

42.0ms

502×

body

valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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: 6.4b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.5b	(* (* x 18.0) y)
4.8b	(* (* (* (* x 18.0) y) z) t)
7.9b	(* (* (* x 18.0) y) z)

rewrite30.0ms

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:

4.0ms	(* (* j 27.0) k)
5.0ms	(* (* x 18.0) y)
9.0ms	(* (* (* (* x 18.0) y) z) t)
7.0ms	(* (* (* x 18.0) y) z)

series107.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
42.0ms	(* (* (* (* x 18.0) y) z) t)
26.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	360	423
1	2133	320
2	5001	320

prune272.0ms

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	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.6b

Counts

94 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
0.5b	(* (* x 18.0) y)
10.8b	(* (* (* x 18.0) y) (* z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
4.0ms	(* (* j 27.0) k)
5.0ms	(* (* x 18.0) y)
9.0ms	(* (* (* x 18.0) y) (* z t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
17.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 18.0) y)
45.0ms	(* (* (* x 18.0) y) (* z t))

simplify66.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	449	563
1	2155	449
2	5001	448

prune275.0ms

Filtered

91 candidates to 47 candidates (51.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t))
0.2b	(* (* j 27.0) k)
5.7b	(* (* x 18.0) (* y (* z t)))
6.7b	(* y (* z t))

rewrite28.0ms

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:

7.0ms	(- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t))
5.0ms	(* (* j 27.0) k)
9.0ms	(* (* x 18.0) (* y (* z t)))
5.0ms	(* y (* z t))

series191.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t))
17.0ms	(* (* j 27.0) k)
47.0ms	(* (* x 18.0) (* y (* z t)))
22.0ms	(* y (* z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	400	492
1	1972	393
2	5001	387

prune279.0ms

Filtered

88 candidates to 48 candidates (54.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	88	10	98

Merged error: 0.0b

Counts

98 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* 18.0 (* x y)) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
0.3b	(* 18.0 (* x y))
10.8b	(* (* 18.0 (* x y)) (* z t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

12.0ms	(+ (- (* (* 18.0 (* x y)) (* z t)) (* (* a 4.0) t)) (* b c))
4.0ms	(* (* j 27.0) k)
5.0ms	(* 18.0 (* x y))
9.0ms	(* (* 18.0 (* x y)) (* z t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (- (* (* 18.0 (* x y)) (* z t)) (* (* a 4.0) t)) (* b c))
21.0ms	(* (* j 27.0) k)
20.0ms	(* 18.0 (* x y))
42.0ms	(* (* 18.0 (* x y)) (* z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	444	563
1	1923	449
2	5001	448

prune215.0ms

Filtered

91 candidates to 46 candidates (50.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

regimes1.4s

Accuracy

62.3% (2.3b remaining)

Error of 2.7b against oracle of 0.4b and baseline of 6.4b

bsearch485.0ms

Steps

Iters	Range		Point
8	6.131501299391809e+84	7.504002544823441e+87	1.4661273365699544e+85
7	3.868047878315162e-131	2.840420125754535e-129	2.5937579829238757e-129
8	-3.778978057170783e-226	-2.6293497153740557e-230	-2.7105790728409e-226
8	-4.730367446627574e-12	-5.018567044042515e-16	-2.286649828670693e-14

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	75
1	76	75

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

16120×

body

valid