Details

sample74.0ms

Algorithm

intervals

Results

31.0ms

482×

body

valid

simplify69.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize19.0ms

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))))
5.5b	(* (* (* x 18.0) y) z)

rewrite95.0ms

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:

19.0ms	(* (* x 18.0) y)
18.0ms	(* (* 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))))
56.0ms	(* (* (* x 18.0) y) z)

series2.6s

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
16.0ms	(* (* 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))))
24.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune321.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 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)))))
5.5b	(* (* (* x 18.0) y) z)

rewrite94.0ms

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:

19.0ms	(* (* x 18.0) y)
17.0ms	(* 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)))))
56.0ms	(* (* (* x 18.0) y) z)

series2.8s

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 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)))))
24.0ms	(* (* (* x 18.0) y) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune338.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
3.6b	(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))))))
5.5b	(* (* (* x 18.0) y) z)

rewrite60.0ms

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))))))
57.0ms	(* (* (* x 18.0) y) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt j)
179.0ms	(cbrt j)
2.7s	(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)

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

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

prune373.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
3.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
5.5b	(* (* (* x 18.0) y) z)

rewrite59.0ms

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 k)
1.0ms	(cbrt k)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
56.0ms	(* (* (* x 18.0) y) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt k)
178.0ms	(cbrt k)
2.7s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
24.0ms	(* (* (* x 18.0) y) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	248	437
1	1074	368
2	5001	362

prune344.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.2b

regimes1.0s

Accuracy

24.7% (2.6b remaining)

Error of 4.8b against oracle of 2.2b and baseline of 5.6b

bsearch233.0ms

Steps

Iters	Range		Point
7	6.084429828909714e-142	4.352150743839159e-140	1.9453967838922817e-140
10	-5.775339508267401e-88	-6.238658651364438e-104	-1.8161049893400003e-100

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	33
1	57	33
2	57	33

end0.0ms

sample2.1s

Algorithm

intervals

Results

983.0ms

16079×

body

valid