Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

338×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
6.8b	(* (* (* 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:

14.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* y 9.0) z)
6.0ms	(* (* a 27.0) b)
21.0ms	(* (* (* y 9.0) z) t)

series199.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune221.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.8b	(* (* (* 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`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
6.0ms	(* (* y 9.0) z)
8.0ms	(* 27.0 (* a b))
20.0ms	(* (* (* y 9.0) z) t)

series133.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
16.0ms	(* (* y 9.0) z)
19.0ms	(* 27.0 (* a b))
24.0ms	(* (* (* y 9.0) z) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	319	384
1	1527	325
2	5002	325

prune187.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
6.8b	(* t (* z y))

rewrite37.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
18.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series149.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
31.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 27.0 (* a b))
25.0ms	(* t (* z y))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	289	380
1	1155	321
2	5001	321

prune184.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
0.0b	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
6.9b	(* (* 9.0 t) (* z y))

rewrite39.0ms

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-+r+` `diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

13.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
6.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
9.0ms	(* 27.0 (* a b))
10.0ms	(* (* 9.0 t) (* z y))

series269.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
79.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
19.0ms	(* 27.0 (* a b))
27.0ms	(* (* 9.0 t) (* z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	360	499
1	1535	444
2	5002	444

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes598.0ms

Accuracy

83.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	28
1	54	28

end0.0ms

sample819.0ms

Algorithm

intervals

Results

462.0ms

11002×

body

valid