Details

sample42.0ms

Algorithm

intervals

Results

25.0ms

349×

body

valid

simplify75.0ms

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: 1.9b

localize16.0ms

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)
0.2b	(* (* a 27.0) b)
3.8b	(* (* (* y 9.0) z) t)

rewrite44.0ms

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))
6.0ms	(* (* y 9.0) z)
6.0ms	(* (* a 27.0) b)
20.0ms	(* (* (* y 9.0) z) t)

series201.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (- (* 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)

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

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

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))
3.8b	(* (* y (* 9.0 z)) t)

rewrite42.0ms

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:

11.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
5.0ms	(* y (* 9.0 z))
17.0ms	(* (* y (* 9.0 z)) t)

series208.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
23.0ms	(* (* a 27.0) b)
17.0ms	(* y (* 9.0 z))
25.0ms	(* (* y (* 9.0 z)) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

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

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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	(* 27.0 (* a b))
0.2b	(* y (* 9.0 z))
3.8b	(* (* y (* 9.0 z)) t)

rewrite45.0ms

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:

12.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (pow (* 27.0 (* a b)) 1))
5.0ms	(* 27.0 (* a b))
5.0ms	(* y (* 9.0 z))
19.0ms	(* (* y (* 9.0 z)) t)

series207.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (pow (* 27.0 (* a b)) 1))
23.0ms	(* 27.0 (* a b))
17.0ms	(* y (* 9.0 z))
25.0ms	(* (* y (* 9.0 z)) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (52.0ms)

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

prune206.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
0.2b	(* 27.0 (* a b))
0.3b	(* 9.0 (* t (* z y)))
3.7b	(* t (* z y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

17.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
5.0ms	(* 27.0 (* a b))
14.0ms	(* 9.0 (* t (* z y)))
8.0ms	(* t (* z y))

series216.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
20.0ms	(* 27.0 (* a b))
32.0ms	(* 9.0 (* t (* z y)))
27.0ms	(* t (* z y))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	313	441
1	1279	373
2	5001	372

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes322.0ms

Accuracy

44% (2.1b remaining)

Error of 2.1b 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	42	17
1	44	17
2	44	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

799.0ms

10971×

body

valid