Details

sample104.0ms

Algorithm

intervals

Results

68.0ms

530×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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: 7.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
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)

rewrite64.0ms

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:

10.0ms	(* (* x 18.0) y)
12.0ms	(* (* j 27.0) k)
1.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
39.0ms	(* (* (* x 18.0) y) z)

series2.8s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
2.7s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
37.0ms	(* (* (* x 18.0) y) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune335.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.4b	(* (* j 27.0) k)
3.9b	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.6b	(* x (* z y))

rewrite31.0ms

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

Counts

4 → 73

Calls

4 calls:

14.0ms	(* 18.0 (* x (* z y)))
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
8.0ms	(* x (* z y))

series2.9s

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 18.0 (* x (* z y)))
18.0ms	(* (* j 27.0) k)
2.8s	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
25.0ms	(* x (* z y))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	305	456
1	1270	370
2	5001	370

prune374.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* x z) y))
0.4b	(* (* j 27.0) k)
3.9b	(fma t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.7b	(* (* x z) y)

rewrite36.0ms

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:

20.0ms	(* 18.0 (* (* x z) y))
7.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* x z) y)

series2.9s

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 18.0 (* (* x z) y))
17.0ms	(* (* j 27.0) k)
2.8s	(fma t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
27.0ms	(* (* x z) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	321	458
1	1526	372
2	5001	372

prune359.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 18.0 (* x z))
0.4b	(* (* j 27.0) k)
3.9b	(fma t (- (pow (* (* 18.0 (* x z)) y) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.7b	(* (* 18.0 (* x z)) y)

rewrite32.0ms

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	(* 18.0 (* x z))
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (pow (* (* 18.0 (* x z)) y) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
18.0ms	(* (* 18.0 (* x z)) y)

series2.9s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 18.0 (* x z))
30.0ms	(* (* j 27.0) k)
2.8s	(fma t (- (pow (* (* 18.0 (* x z)) y) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
32.0ms	(* (* 18.0 (* x z)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	319	460
1	1467	374
2	5001	374

prune318.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.8b

regimes1.2s

Accuracy

26.3% (2.4b remaining)

Error of 4.4b against oracle of 2.1b and baseline of 5.3b

bsearch258.0ms

Steps

Iters	Range		Point
9	3.1518159930283016e-72	4.5523633140698926e-63	4.650643602160057e-67
7	-3.7113490408974775e-165	-1.3035673537723246e-166	-2.984753943024447e-166

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	37
1	59	37
2	65	37
3	65	37

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s

16147×

body

valid