Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

358×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

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: 1.4b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
3.6b	(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`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 → 72

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* a 27.0) b)
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series205.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* a 27.0) b)
17.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5001	383

prune186.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.2b	(* a (* 27.0 b))
0.2b	(* (* y 9.0) z)
3.6b	(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
5.0ms	(* a (* 27.0 b))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series210.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
27.0ms	(* a (* 27.0 b))
23.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	363	454
1	1770	382
2	5002	382

prune152.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
3.6b	(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* (* y 9.0) z) t)))
5.0ms	(* (* y 9.0) z)
5.0ms	(* 27.0 (* a b))
7.0ms	(* (* (* y 9.0) z) t)

series194.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* (* y 9.0) z) t)))
20.0ms	(* (* y 9.0) z)
18.0ms	(* 27.0 (* a b))
24.0ms	(* (* (* y 9.0) z) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	362	447
1	1618	372
2	5001	372

prune175.0ms

Filtered

84 candidates to 48 candidates (57.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
3.6b	(* t (* z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

4.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
6.0ms	(* 9.0 (* t (* z y)))
5.0ms	(* 27.0 (* a b))
5.0ms	(* t (* z y))

series121.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
27.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 27.0 (* a b))
28.0ms	(* t (* z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	316	341
1	1258	279
2	5002	279

prune133.0ms

Filtered

80 candidates to 46 candidates (57.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

regimes627.0ms

Accuracy

44.2% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.7b

bsearch115.0ms

Steps

Iters	Range		Point
7	2.0075486493901634e-57	7.657193643489081e-56	6.728010992288708e-56
8	-1.150652514806806e-288	-3.0951363879913095e-292	-1.0247653006626641e-289

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	24
1	56	24
2	56	24

end0.0ms

sample891.0ms

Algorithm

intervals

Results

532.0ms

10996×

body

valid