Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

368×

body

valid

simplify74.0ms

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: 4.2b

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))
0.2b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
6.7b	(* (* (* y 9.0) z) t)

rewrite26.0ms

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)
9.0ms	(* (* (* y 9.0) z) t)

series204.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

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

prune172.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.4b	(* (* a 27.0) b)
5.8b	(* (* y 9.0) (* z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

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

series254.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
142.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	385	495
1	1778	438
2	5001	438

prune158.0ms

Filtered

79 candidates to 49 candidates (62.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
0.4b	(* a (* 27.0 b))
5.8b	(* (* y 9.0) (* z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

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

series259.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
142.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* a (* 27.0 b)))
22.0ms	(* a (* 27.0 b))
25.0ms	(* (* y 9.0) (* z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	376	494
1	1624	437
2	5002	437

prune157.0ms

Filtered

79 candidates to 50 candidates (63.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	79	7	86

Merged error: 0.0b

Counts

86 → 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	(* 9.0 (* z t))
0.4b	(* (* a 27.0) b)
6.0b	(* 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-l*`
5×	`associate-r`
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	(* 9.0 (* z t))
5.0ms	(* (* a 27.0) b)
7.0ms	(* y (* 9.0 (* z t)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
17.0ms	(* 9.0 (* z t))
19.0ms	(* (* a 27.0) b)
27.0ms	(* y (* 9.0 (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	357	453
1	1674	381
2	5002	381

prune151.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

regimes739.0ms

Accuracy

86.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	40
1	57	40

end0.0ms

sample898.0ms

Algorithm

intervals

Results

482.0ms

11052×

body

valid