Details

sample137.0ms

Algorithm

intervals

Results

99.0ms

533×

body

valid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.1b	(* (* (* x 18.0) y) z)
5.2b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite118.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
20.0ms	(* (* (* x 18.0) y) z)
83.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
27.0ms	(* (* (* x 18.0) y) z)
118.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

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

prune339.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
5.1b	(* (* x (* 18.0 y)) z)
5.2b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

rewrite101.0ms

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)
17.0ms	(* (* x (* 18.0 y)) z)
70.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
26.0ms	(* (* x (* 18.0 y)) z)
119.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	404	472
1	1946	393
2	5001	393

prune323.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
5.1b	(* (* x (* 18.0 y)) z)
5.2b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

rewrite103.0ms

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-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
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))
17.0ms	(* (* x (* 18.0 y)) z)
71.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (* 18.0 y))
18.0ms	(* j (* 27.0 k))
26.0ms	(* (* x (* 18.0 y)) z)
116.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	396	471
1	1835	392
2	5002	392

prune318.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.5b	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
3.7b	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
5.2b	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))

rewrite763.0ms

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:

1.0ms	(cbrt z)
103.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
28.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
627.0ms	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
55.0ms	(* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z))
123.0ms	(* (* (* x 18.0) y) (* (cbrt z) (cbrt z)))
147.0ms	(* t (- (* (* (* (* x 18.0) y) (* (cbrt z) (cbrt z))) (cbrt z)) (* a 4.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	470	1050
1	2377	723
2	5002	665

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.6b

regimes829.0ms

Accuracy

20.9% (2.7b remaining)

Error of 4.9b against oracle of 2.2b and baseline of 5.6b

bsearch433.0ms

Steps

Iters	Range		Point
10	2.013048699062109e+110	6.714891876596302e+121	1.2900037542469239e+120
8	-3.540879330516425e+183	-3.5776167958837047e+180	-2.4272481818337534e+181

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	39
1	80	39
2	83	39
3	83	39

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.9s

16103×

body

valid