Details

sample72.0ms

Algorithm

intervals

Results

36.0ms

506×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize26.0ms

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)

rewrite36.0ms

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))))
21.0ms	(* (* (* x 18.0) y) z)

series3.2s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
3.1s	(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)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

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

prune360.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize20.0ms

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

series3.0s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
20.0ms	(* 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)))))
29.0ms	(* (* (* x 18.0) y) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

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

prune362.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize28.0ms

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)

rewrite116.0ms

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	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
21.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* (* (* (* x 18.0) y) z) t)

series122.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
33.0ms	(* (* (* x 18.0) y) z)
48.0ms	(* (* (* (* 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

prune377.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
2.3b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
4.0b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
5.8b	(* (* (* x 18.0) y) z)

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

87×	`pow1` `add-exp-log`
63×	`pow-prod-down` `prod-exp` `cbrt-unprod`
62×	`add-cbrt-cube`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt t)
332.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
86.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
21.0ms	(* (* (* x 18.0) y) z)

series475.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt t)
82.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
168.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))
33.0ms	(* (* (* x 18.0) y) z)

simplify101.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	451	1089
1	2600	745
2	5001	674

prune457.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes1.3s

Accuracy

38.6% (3.1b remaining)

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

bsearch302.0ms

Steps

Iters	Range		Point
9	1.4854530456890916e-27	2.4622320545637676e-19	1.1407428394272816e-25
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	63	27
1	63	27

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16097×

body

valid