Details

sample80.0ms

Algorithm

intervals

Results

40.0ms

543×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune16.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b	(* (* (* x 18.0) y) z)

rewrite43.0ms

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:

7.0ms	(* (* x 18.0) y)
10.0ms	(* (* 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)

series3.1s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
35.0ms	(* (* 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))))
30.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

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

prune396.0ms

Filtered

85 candidates to 54 candidates (63.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.4b	(* (* (* x 18.0) y) z)

rewrite38.0ms

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)))))
23.0ms	(* (* (* x 18.0) y) z)

series3.3s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
20.0ms	(* j (* 27.0 k))
3.3s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
31.0ms	(* (* (* x 18.0) y) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (15.0ms)

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

prune383.0ms

Filtered

85 candidates to 52 candidates (61.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
92.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
23.0ms	(* (* (* x 18.0) y) z)

series201.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
19.0ms	(* j (* 27.0 k))
129.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	420	525
1	2107	445
2	5002	445

prune469.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
3.6b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b	(* (* x (* 18.0 y)) z)

rewrite35.0ms

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))
7.0ms	(* (* 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))))
19.0ms	(* (* x (* 18.0 y)) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (* 18.0 y))
20.0ms	(* (* 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))))
34.0ms	(* (* x (* 18.0 y)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (14.0ms)

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

prune331.0ms

Filtered

85 candidates to 49 candidates (57.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

regimes1.1s

Accuracy

48.5% (1.9b remaining)

Error of 4.0b against oracle of 2.1b and baseline of 5.8b

bsearch344.0ms

Steps

Iters	Range		Point
10	5.1862691241603325e+70	1.0117685952169479e+81	7.892774821851951e+70
9	-2.7842998296533542e-81	-1.988845692823219e-90	-1.2918905658756634e-81

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	25
1	57	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16119×

body

valid