Details

sample67.0ms

Algorithm

intervals

Results

32.0ms

506×

body

valid

simplify143.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.8b	(* (* (* x 18.0) y) z)
6.0b	(* (* (* (* x 18.0) y) z) t)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

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)
76.0ms	(* (* (* (* x 18.0) y) z) t)

series105.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
25.0ms	(* (* (* x 18.0) y) z)
44.0ms	(* (* (* (* x 18.0) y) z) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune302.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
5.8b	(* (* x (* 18.0 y)) z)
6.0b	(* (* (* x (* 18.0 y)) z) t)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

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)
60.0ms	(* (* (* x (* 18.0 y)) z) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
16.0ms	(* (* j 27.0) k)
28.0ms	(* (* x (* 18.0 y)) z)
42.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	358	423
1	1918	320
2	5001	320

prune307.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
5.8b	(* (* x (* 18.0 y)) z)
6.0b	(* (* (* x (* 18.0 y)) z) t)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`*-commutative` `add-log-exp`

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)
62.0ms	(* (* (* x (* 18.0 y)) z) t)

series105.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
16.0ms	(* j (* 27.0 k))
28.0ms	(* (* x (* 18.0 y)) z)
42.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	350	422
1	1807	319
2	5001	319

prune300.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.8b	(* (* (* x 18.0) y) z)

rewrite117.0ms

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)
82.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
20.0ms	(* (* (* x 18.0) y) z)

series173.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
107.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune294.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

regimes999.0ms

Accuracy

38% (3.1b remaining)

Error of 3.8b against oracle of 0.7b and baseline of 5.7b

bsearch280.0ms

Steps

Iters	Range		Point
9	1.4854530456890916e-27	2.4622320545637676e-19	3.7495446009754496e-26
9	-6.470393165945418e-102	-9.124255843713428e-110	-1.6966996671020817e-102

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	30
1	66	30

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16097×

body

valid