Details

sample79.0ms

Algorithm

intervals

Results

38.0ms

553×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
4.6b	(* (* (* (* x 18.0) y) z) t)
5.0b	(* (* (* x 18.0) y) z)

rewrite33.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
5.0ms	(* (* a 4.0) t)
10.0ms	(* (* (* (* x 18.0) y) z) t)
8.0ms	(* (* (* x 18.0) y) z)

series127.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
22.0ms	(* (* a 4.0) t)
54.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	360	453
1	2122	350
2	5002	350

prune389.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.6b	(* (* (* (* x 18.0) y) z) t)
5.0b	(* (* (* x 18.0) y) z)

rewrite36.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
6.0ms	(* (* x 18.0) y)
11.0ms	(* (* (* (* x 18.0) y) z) t)
8.0ms	(* (* (* x 18.0) y) z)

series128.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
29.0ms	(* (* x 18.0) y)
49.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	368	453
1	2141	350
2	5001	350

prune413.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
4.6b	(* (* (* x (* 18.0 y)) z) t)
5.0b	(* (* x (* 18.0 y)) z)

rewrite33.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
6.0ms	(* x (* 18.0 y))
11.0ms	(* (* (* x (* 18.0 y)) z) t)
8.0ms	(* (* x (* 18.0 y)) z)

series126.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
22.0ms	(* x (* 18.0 y))
54.0ms	(* (* (* x (* 18.0 y)) z) t)
30.0ms	(* (* x (* 18.0 y)) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	366	453
1	1925	350
2	5002	350

prune411.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* j (* 27.0 k))
4.6b	(* (* (* x (* 18.0 y)) z) t)
5.0b	(* (* x (* 18.0 y)) z)

rewrite37.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* x (* 18.0 y))
10.0ms	(* j (* 27.0 k))
10.0ms	(* (* (* x (* 18.0 y)) z) t)
8.0ms	(* (* x (* 18.0 y)) z)

series127.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (* 18.0 y))
27.0ms	(* j (* 27.0 k))
49.0ms	(* (* (* x (* 18.0 y)) z) t)
30.0ms	(* (* x (* 18.0 y)) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	358	452
1	1814	349
2	5001	349

prune359.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

regimes1.2s

Accuracy

37.2% (2.7b remaining)

Error of 3.5b against oracle of 0.8b and baseline of 5.1b

bsearch249.0ms

Steps

Iters	Range		Point
7	2.3525907718829753e-90	6.761072710162817e-89	3.2131529662372025e-90
6	-7.6228111104719175e+65	-1.575166489468291e+65	-2.0511004975778285e+65

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	45
1	70	45

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

16100×

body

valid