Details

sample27.0ms

Algorithm

intervals

Results

14.0ms	348×	body	80	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite883.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

57.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)
216.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
595.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series159.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)
61.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune186.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 2 x) (+ y z))
0.0b	(+ (* (* 2 x) (+ y z)) (* x t))
0.0b	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `sum-log`
3×	`associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

11.0ms	(* (* 2 x) (+ y z))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
43.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* 2 x) (+ y z))
46.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
60.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5002	357

prune135.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (* x y))
0.0b	(+ (* 2 (* x y)) (* 2 (* x z)))
0.0b	(+ (+ (* 2 (* x y)) (* 2 (* x z))) (* x t))
0.0b	(+ (+ (+ (* 2 (* x y)) (* 2 (* x z))) (* x t)) (* y 5.0))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 57

Calls

4 calls:

6.0ms	(* 2 (* x y))
5.0ms	(+ (* 2 (* x y)) (* 2 (* x z)))
28.0ms	(+ (+ (* 2 (* x y)) (* 2 (* x z))) (* x t))
115.0ms	(+ (+ (+ (* 2 (* x y)) (* 2 (* x z))) (* x t)) (* y 5.0))

series178.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 2 (* x y))
54.0ms	(+ (* 2 (* x y)) (* 2 (* x z)))
47.0ms	(+ (+ (* 2 (* x y)) (* 2 (* x z))) (* x t))
58.0ms	(+ (+ (+ (* 2 (* x y)) (* 2 (* x z))) (* x t)) (* y 5.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	344	529
1	1613	465
2	5001	460

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series736.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt x) (cbrt x))
188.0ms	(cbrt x)
177.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample658.0ms

Algorithm

intervals

Results

350.0ms	10660×	body	80	valid
12.0ms	102×	body	640	valid
11.0ms	78×	body	1280	valid
7.0ms	81×	body	320	valid
2.0ms	31×	body	160	valid