Details

sample68.0ms

Algorithm

intervals

Results

33.0ms

508×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
84.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series175.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune324.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
2.7b	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))
4.3b	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1` `add-exp-log`
38×	`pow-prod-down` `prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow1/3` `flip--` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

0.0ms	(cbrt z)
106.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
428.0ms	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt z)
46.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
144.0ms	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))
117.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	470	1050
1	2376	723
2	5001	665

prune385.0ms

Filtered

111 candidates to 57 candidates (51.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* j (* 27.0 k))
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)

rewrite119.0ms

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×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
84.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series174.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
109.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune319.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.1b

localize30.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b	(* (* (* x 18.0) y) z)
4.7b	(* (* (* x 18.0) y) z)
4.7b	(* (* (* x 18.0) y) z)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `associate-l` `*-commutative`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 76

Calls

4 calls:

21.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
24.0ms	(* (* (* x 18.0) y) z)
20.0ms	(* (* (* x 18.0) y) z)
21.0ms	(* (* (* x 18.0) y) z)

series268.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)
25.0ms	(* (* (* x 18.0) y) z)
26.0ms	(* (* (* x 18.0) y) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	293	505
1	1284	429
2	5001	424

prune386.0ms

Filtered

88 candidates to 56 candidates (63.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.1b

regimes783.0ms

Accuracy

-18.3% (4.2b remaining)

Error of 6.3b against oracle of 2.2b and baseline of 5.7b

bsearch97.0ms

Steps

Iters	Range		Point
7	2.1909646584531642e-98	3.770492087153669e-97	2.980670492609633e-97

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	31
1	70	31
2	73	31
3	73	31

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

15954×

body

valid