Details

sample55.0ms

Algorithm

intervals

Results

36.0ms

364×

body

valid

simplify78.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

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)
6.1b	(* (* (* y 9.0) z) t)

rewrite49.0ms

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:

11.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
9.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series202.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* 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 (13.0ms)

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

prune202.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* (* a 27.0) b)
6.2b	(* (* y 9.0) (* z t))

rewrite35.0ms

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:

11.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
2.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
6.0ms	(* (* a 27.0) b)
9.0ms	(* (* y 9.0) (* z t))

series258.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
71.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) (* z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	385	495
1	1778	438
2	5002	438

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.3b	(* 27.0 (* a b))
6.2b	(* (* y 9.0) (* z t))

rewrite30.0ms

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:

11.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
2.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
6.0ms	(* 27.0 (* a b))
9.0ms	(* (* y 9.0) (* z t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
71.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
19.0ms	(* 27.0 (* a b))
25.0ms	(* (* y 9.0) (* z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	371	494
1	1500	437
2	5001	437

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 2.0 x) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.3b	(* 9.0 (* t (* z y)))
6.1b	(* t (* z y))

rewrite41.0ms

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:

11.0ms	(+ (- (* 2.0 x) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series233.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ (- (* 2.0 x) (* 9.0 (* t (* z y)))) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
29.0ms	(* 9.0 (* t (* z y)))
31.0ms	(* t (* z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	344	451
1	1556	379
2	5001	379

prune349.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes648.0ms

Accuracy

84.6% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	28
1	51	28

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

10998×

body

valid