Details

sample85.0ms

Algorithm

intervals

Results

37.0ms

561×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
1.9b	(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)

rewrite88.0ms

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:

17.0ms	(* (* x 18.0) y)
16.0ms	(* (* 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))))
52.0ms	(* (* (* x 18.0) y) z)

series2.7s

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
15.0ms	(* (* j 27.0) k)
2.6s	(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)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune337.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
1.9b	(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)

rewrite89.0ms

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:

17.0ms	(* (* x 18.0) y)
15.0ms	(* 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)))))
54.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
15.0ms	(* 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)))))
23.0ms	(* (* (* x 18.0) y) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

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

prune338.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
2.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.4b	(* (* (* x 18.0) y) z)

rewrite284.0ms

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:

17.0ms	(* (* x 18.0) y)
15.0ms	(* j (* 27.0 k))
197.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
52.0ms	(* (* (* x 18.0) y) z)

series157.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
15.0ms	(* j (* 27.0 k))
98.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
23.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

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

prune405.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
1.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
5.4b	(* (* (* x 18.0) y) z)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt j)
1.0ms	(cbrt j)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
67.0ms	(* (* (* x 18.0) y) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt j)
166.0ms	(cbrt j)
2.8s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
24.0ms	(* (* (* x 18.0) y) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	248	437
1	1077	368
2	5002	362

prune347.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.5b

regimes1.1s

Accuracy

51.1% (1.7b remaining)

Error of 3.9b against oracle of 2.2b and baseline of 5.7b

bsearch171.0ms

Steps

Iters	Range		Point
5	13.661351043940357	38.0989092815488	31.712880063023725
6	-5.499525655678049e-77	-8.313713533774226e-78	-4.995746752057706e-77

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	42
1	68	42

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s

16237×

body

valid