Details

sample75.0ms

Algorithm

intervals

Results

30.0ms

482×

body

valid

simplify156.0ms

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.5b	(* (* (* x 18.0) y) z)

rewrite291.0ms

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:

16.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
201.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
53.0ms	(* (* (* x 18.0) y) z)

series186.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune340.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.5b	(* (* (* x 18.0) y) z)

rewrite290.0ms

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:

16.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
201.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
53.0ms	(* (* (* x 18.0) y) z)

series181.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
112.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
31.0ms	(* (* (* x 18.0) y) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune336.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
3.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.5b	(* (* (* x 18.0) y) z)

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
201.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
55.0ms	(* (* (* x 18.0) y) z)

series505.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt k)
179.0ms	(cbrt k)
121.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	316	406
1	1497	351
2	5001	345

prune393.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
3.7b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.5b	(* (* x (* 18.0 y)) z)

rewrite253.0ms

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:

16.0ms	(* x (* 18.0 y))
16.0ms	(* (* j 27.0) k)
171.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
46.0ms	(* (* x (* 18.0 y)) z)

series190.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
118.0ms	(* 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	404	472
1	1945	393
2	5002	393

prune282.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

regimes1.2s

Accuracy

21.7% (2.7b remaining)

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

bsearch227.0ms

Steps

Iters	Range		Point
9	7.174579395220614e-178	6.327771025440846e-173	1.5417282414835549e-174
7	-2.713857879260692e-182	-4.41911468623981e-184	-8.378293855280813e-183

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	44
1	87	44
2	90	44
3	90	44

end0.0ms

sample2.1s

Algorithm

intervals

Results

992.0ms

16079×

body

valid