Details

sample68.0ms

Algorithm

intervals

Results

31.0ms

491×

body

valid

simplify71.0ms

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

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	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.8b	(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)

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)

series2.9s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
30.0ms	(* (* j 27.0) k)
2.8s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
26.0ms	(* (* (* x 18.0) y) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune344.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
3.8b	(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)

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

series2.8s

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
19.0ms	(* 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))))
27.0ms	(* (* x (* 18.0 y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	324	447
1	1471	364
2	5001	364

prune316.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.8b	(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)

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:

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)

series2.8s

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* 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)))))
25.0ms	(* (* (* x 18.0) y) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

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

prune317.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.9b

localize26.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* (* x 18.0) y) z)
14.0b	(cbrt (* (* (* x 18.0) y) z))
14.0b	(cbrt (* (* (* x 18.0) y) z))
14.0b	(cbrt (* (* (* x 18.0) y) z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

25.0ms	(* (* (* x 18.0) y) z)
18.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))

series356.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* (* x 18.0) y) z)
106.0ms	(cbrt (* (* (* x 18.0) y) z))
109.0ms	(cbrt (* (* (* x 18.0) y) z))
112.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	246	412
1	1058	357
2	5002	348

prune389.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.9b

regimes865.0ms

Accuracy

28.3% (2.6b remaining)

Error of 4.8b against oracle of 2.1b and baseline of 5.8b

bsearch188.0ms

Steps

Iters	Range		Point
5	2.213155986990486e-63	7.400035357711363e-63	2.5769923735091747e-63
8	-2.8203835745711926e-84	-4.568187658869808e-89	-3.849252610875658e-88

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	33
1	63	33
2	63	33

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16260×

body

valid