Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

363×

body

valid

simplify86.0ms

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: 4.6b

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)
0.6b	(* (* a 27.0) b)
6.8b	(* (* (* 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)

series205.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* 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

prune179.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	74	10	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	10	85

Merged error: 0.0b

Counts

85 → 10

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))
0.6b	(* (* a 27.0) b)
5.1b	(* (* 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-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)))
5.0ms	(+ (- (* 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))

series248.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
138.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) (* z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

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

prune161.0ms

Filtered

79 candidates to 49 candidates (62.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.3b	(* 9.0 (* z t))
0.6b	(* (* a 27.0) b)
5.5b	(* 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-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:

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
19.0ms	(* 9.0 (* z t))
19.0ms	(* (* a 27.0) b)
24.0ms	(* 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

prune213.0ms

Filtered

84 candidates to 51 candidates (60.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	83	12	95

Merged error: 0b

Counts

95 → 12

localize11.0ms

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)
0.6b	(* (* a 27.0) b)
5.5b	(* 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:

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

series233.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
19.0ms	(* (* 9.0 z) t)
19.0ms	(* (* a 27.0) b)
24.0ms	(* y (* (* 9.0 z) t))

simplify86.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	368	455
1	1884	383
2	5001	383

prune153.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Merged error: 0b

Counts

96 → 12

regimes850.0ms

Accuracy

85.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	20
1	46	20

end0.0ms

sample914.0ms

Algorithm

intervals

Results

531.0ms

11081×

body

valid