Details

sample110.0ms

Algorithm

intervals

Results

72.0ms

526×

body

valid

simplify75.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
5.2b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite120.0ms

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:

7.0ms	(* (* j 27.0) k)
7.0ms	(* (* x 18.0) y)
22.0ms	(* (* (* x 18.0) y) z)
82.0ms	(* (* (* (* x 18.0) y) z) t)

series123.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
29.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify72.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

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

prune381.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* (* x 18.0) y)
3.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.2b	(* (* (* x 18.0) y) z)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* j 27.0) k)
7.0ms	(* (* x 18.0) y)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
27.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
3.0s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* (* (* x 18.0) y) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364

prune389.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* x 18.0) y)
3.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
5.2b	(* (* (* x 18.0) y) z)

rewrite43.0ms

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*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* j (* 27.0 k))
10.0ms	(* (* x 18.0) y)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
23.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (* 27.0 k))
35.0ms	(* (* x 18.0) y)
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
30.0ms	(* (* (* x 18.0) y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	446
1	1546	363
2	5002	363

prune380.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
3.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
5.2b	(* (* (* x 18.0) y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`pow1/3`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt j)
1.0ms	(cbrt j)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
23.0ms	(* (* (* x 18.0) y) z)

series3.4s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt j)
187.0ms	(cbrt j)
3.0s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
31.0ms	(* (* (* x 18.0) y) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	248	437
1	1077	368
2	5002	362

prune404.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.2b

regimes1.7s

Accuracy

49% (2.5b remaining)

Error of 3.2b against oracle of 0.7b and baseline of 5.6b

bsearch4.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	60
1	76	60
2	76	60

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

16016×

body

valid