Details

sample80.0ms

Algorithm

intervals

Results

43.0ms

500×

body

valid

simplify142.0ms

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: 6.1b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.5b	(* (* (* x 18.0) y) z)
7.7b	(* (* (* (* x 18.0) y) z) t)

rewrite32.0ms

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

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) y) z)
43.0ms	(* (* (* (* x 18.0) y) z) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune272.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 1.0b

Counts

94 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
9.2b	(* (* (* x 18.0) y) (* z t))

rewrite34.0ms

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:

13.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
9.0ms	(* (* (* x 18.0) y) (* z t))

series260.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
19.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
42.0ms	(* (* (* x 18.0) y) (* z t))

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (59.0ms)

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

prune267.0ms

Filtered

91 candidates to 47 candidates (51.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.5b

Counts

100 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.7b	(* (* j 27.0) k)
4.7b	(* (* x 18.0) (* y (* z t)))
4.8b	(* 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:

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

series266.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
16.0ms	(* (* j 27.0) k)
47.0ms	(* (* x 18.0) (* y (* z t)))
22.0ms	(* y (* z t))

simplify59.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	440	560
1	1971	446
2	5002	446

prune278.0ms

Filtered

91 candidates to 50 candidates (54.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 0.0b

Counts

99 → 9

localize22.0ms

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))
4.7b	(* (* x 18.0) (* y (* z t)))
4.8b	(* y (* z t))

rewrite33.0ms

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-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `*-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))
5.0ms	(* j (* 27.0 k))
9.0ms	(* (* x 18.0) (* y (* z t)))
7.0ms	(* y (* z t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
17.0ms	(* j (* 27.0 k))
45.0ms	(* (* x 18.0) (* y (* z t)))
22.0ms	(* y (* z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	430	559
1	1855	445
2	5001	445

prune235.0ms

Filtered

91 candidates to 50 candidates (54.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

regimes1.2s

Accuracy

80.2% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 5.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	69
1	70	69

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

16219×

body

valid