Details

sample80.0ms

Algorithm

intervals

Results

33.0ms

512×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
5.1b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
56.0ms	(* (* (* x 18.0) y) z)
191.0ms	(* (* (* (* x 18.0) y) z) t)

series126.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
30.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify74.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	368	453
1	2149	350
2	5001	350

prune349.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c))
0.5b	(* (* j 27.0) k)
4.7b	(* (* x 18.0) (* y z))
6.4b	(* (* (* x 18.0) (* y z)) t)

rewrite671.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
3×	`associate-+l+` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `distribute-rgt-out--` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 95

Calls

4 calls:

534.0ms	(+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c))
18.0ms	(* (* j 27.0) k)
27.0ms	(* (* x 18.0) (* y z))
88.0ms	(* (* (* x 18.0) (* y z)) t)

series311.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c))
20.0ms	(* (* j 27.0) k)
33.0ms	(* (* x 18.0) (* y z))
49.0ms	(* (* (* x 18.0) (* y z)) t)

simplify80.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	478	652
1	2317	515
2	5001	511

prune393.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y z))
0.5b	(* (* j 27.0) k)
4.5b	(* x (* 18.0 (* y z)))
6.4b	(* (* x (* 18.0 (* y z))) t)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* 18.0 (* y z))
18.0ms	(* (* j 27.0) k)
42.0ms	(* x (* 18.0 (* y z)))
127.0ms	(* (* x (* 18.0 (* y z))) t)

series125.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 18.0 (* y z))
20.0ms	(* (* j 27.0) k)
30.0ms	(* x (* 18.0 (* y z)))
52.0ms	(* (* x (* 18.0 (* y z))) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	360	453
1	1850	350
2	5002	350

prune376.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y z))
0.2b	(* j (* 27.0 k))
4.5b	(* x (* 18.0 (* y z)))
6.4b	(* (* x (* 18.0 (* y z))) t)

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

16.0ms	(* 18.0 (* y z))
17.0ms	(* j (* 27.0 k))
41.0ms	(* x (* 18.0 (* y z)))
128.0ms	(* (* x (* 18.0 (* y z))) t)

series123.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 18.0 (* y z))
20.0ms	(* j (* 27.0 k))
34.0ms	(* x (* 18.0 (* y z)))
49.0ms	(* (* x (* 18.0 (* y z))) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	352	452
1	1739	349
2	5001	349

prune344.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

75.2% (1.4b remaining)

Error of 1.8b against oracle of 0.4b and baseline of 6.1b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	54
1	62	54

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

16265×

body

valid