Details

sample78.0ms

Algorithm

intervals

Results

39.0ms

506×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

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: 5.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.8b	(* (* (* 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`
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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
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:

22.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
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)

simplify67.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (14.0ms)

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

prune646.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
2.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
5.8b	(* (* (* x 18.0) y) z)

rewrite37.0ms

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	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
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)

series3.0s

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
35.0ms	(* (* (* x 18.0) y) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune354.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.8b	(* (* (* x 18.0) y) z)
6.0b	(* (* (* (* 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:

6.0ms	(* (* x 18.0) y)
9.0ms	(* (* j 27.0) k)
21.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* (* x 18.0) y) z) t)

series119.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
23.0ms	(* (* j 27.0) k)
27.0ms	(* (* (* x 18.0) y) z)
48.0ms	(* (* (* (* x 18.0) y) z) t)

simplify76.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (16.0ms)

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

prune372.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.3b	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
2.9b	(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.6b	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt z)
108.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
0.0ms	(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
29.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

series3.4s

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt z)
67.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
3.0s	(fma t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
131.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	400	966
1	1907	705
2	5001	642

prune417.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes1.3s

Accuracy

37.9% (3.1b remaining)

Error of 3.8b against oracle of 0.6b and baseline of 5.7b

bsearch296.0ms

Steps

Iters	Range		Point
9	1.4854530456890916e-27	2.4622320545637676e-19	3.611731977554508e-26
9	-6.470393165945418e-102	-9.124255843713428e-110	-1.6966996671020817e-102

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	27
1	59	27

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16097×

body

valid