Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

349×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 2.7b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.5b	(* (* y 9.0) z)
0.5b	(* (* a 27.0) b)
5.6b	(* (* (* 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	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* (* y 9.0) z) t)

series202.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
27.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune200.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

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	(* y (* 9.0 z))
0.5b	(* (* a 27.0) b)
5.6b	(* (* y (* 9.0 z)) t)

rewrite23.0ms

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	(* y (* 9.0 z))
4.0ms	(* (* a 27.0) b)
6.0ms	(* (* y (* 9.0 z)) t)

series198.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
16.0ms	(* y (* 9.0 z))
21.0ms	(* (* a 27.0) b)
24.0ms	(* (* y (* 9.0 z)) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	367	455
1	1849	383
2	5001	383

prune188.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (pow (* 27.0 (* a b)) 1))
0.2b	(* y (* 9.0 z))
0.3b	(* 27.0 (* a b))
5.6b	(* (* y (* 9.0 z)) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (pow (* 27.0 (* a b)) 1))
5.0ms	(* y (* 9.0 z))
4.0ms	(* 27.0 (* a b))
7.0ms	(* (* y (* 9.0 z)) t)

series198.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (pow (* 27.0 (* a b)) 1))
19.0ms	(* y (* 9.0 z))
19.0ms	(* 27.0 (* a b))
24.0ms	(* (* y (* 9.0 z)) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	360	476
1	1661	399
2	5001	396

prune204.0ms

Filtered

85 candidates to 49 candidates (57.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

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))
5.6b	(* t (* z y))

rewrite23.0ms

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:

3.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
6.0ms	(* 9.0 (* t (* z y)))
5.0ms	(* 27.0 (* a b))
7.0ms	(* t (* z y))

series134.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
29.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 27.0 (* a b))
25.0ms	(* t (* z y))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (12.0ms)

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

prune169.0ms

Filtered

80 candidates to 46 candidates (57.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

regimes425.0ms

Accuracy

80.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch140.0ms

Steps

Iters	Range		Point
8	1.532654735276646e-47	4.047275585948234e-45	3.288979918464265e-46
8	-1.8924915151658963e+19	-8893382635004147.0	-3.0618742332684785e+18

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	25
1	62	25
2	62	25

end0.0ms

sample961.0ms

Algorithm

intervals

Results

530.0ms

10962×

body

valid