Details

sample73.0ms

Algorithm

intervals

Results

35.0ms

524×

body

valid

simplify67.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

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))))
5.4b	(* (* (* x 18.0) y) z)

rewrite34.0ms

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

series3.0s

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
27.0ms	(* (* 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)

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

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

prune332.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

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))))
5.4b	(* (* x (* 18.0 y)) z)

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-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:

5.0ms	(* 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))))
17.0ms	(* (* 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))))
26.0ms	(* (* x (* 18.0 y)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

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

prune321.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (* (* x 18.0) y) z)
6.4b	(cbrt (* (* j 27.0) k))
6.4b	(cbrt (* (* j 27.0) k))
6.4b	(cbrt (* (* j 27.0) k))

rewrite35.0ms

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:

20.0ms	(* (* (* x 18.0) y) z)
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))

series302.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* (* x 18.0) y) z)
92.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))
92.0ms	(cbrt (* (* j 27.0) k))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	239	349
1	984	300
2	5001	276

prune396.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* 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)))))
5.4b	(* (* (* x 18.0) y) z)

rewrite34.0ms

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)
5.0ms	(* 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)))))
20.0ms	(* (* (* x 18.0) y) z)

series2.8s

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
16.0ms	(* 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)))))
28.0ms	(* (* (* x 18.0) y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

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

prune293.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

regimes1.0s

Accuracy

35.1% (2.5b remaining)

Error of 4.5b against oracle of 2.0b and baseline of 5.8b

bsearch129.0ms

Steps

Iters	Range		Point
4	3.830259964041976e-87	6.907864949541455e-87	4.149752184472898e-87
5	-2.4932486355435744e-112	-8.829393389327254e-113	-9.438701042856676e-113

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	30
1	58	30
2	58	30

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16087×

body

valid