Details

sample114.0ms

Algorithm

intervals

Results

70.0ms

526×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize21.0ms

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)

rewrite40.0ms

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))))
22.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
2.8s	(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)

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

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

prune359.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize24.0ms

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)

rewrite119.0ms

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)
81.0ms	(* (* (* (* x 18.0) y) z) t)

series122.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
29.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

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

prune379.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.2b

localize21.0ms

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)

rewrite39.0ms

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:

6.0ms	(* 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)))))
24.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
22.0ms	(* (* 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)))))
29.0ms	(* (* (* x 18.0) y) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune358.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.2b

localize29.0ms

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)

rewrite25.0ms

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:

0.0ms	(cbrt j)
0.0ms	(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))))))
22.0ms	(* (* (* x 18.0) y) z)

series3.3s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt j)
190.0ms	(cbrt j)
2.9s	(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))))))
29.0ms	(* (* (* x 18.0) y) z)

simplify270.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

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

prune368.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.2b

regimes1.4s

Accuracy

43.5% (2.8b remaining)

Error of 3.5b against oracle of 0.7b and baseline of 5.6b

bsearch272.0ms

Steps

Iters	Range		Point
7	3.300597773091447e+43	6.05841279593478e+44	3.557798781397932e+43
7	-37008.60667179904	-251.5789950134354	-10735.131202477718

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	51
1	76	51

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

16016×

body

valid