Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	370×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.2b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite940.0ms

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:

14.0ms	(+ (+ y z) z)
61.0ms	(+ (+ (+ y z) z) y)
228.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
635.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series159.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ y z) z)
35.0ms	(+ (+ (+ y z) z) y)
57.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
44.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune183.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`associate-+l+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

2 → 26

Calls

2 calls:

9.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
46.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
59.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	216	287
1	929	260
2	5002	253

prune91.0ms

Filtered

32 candidates to 27 candidates (84.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`

Counts

2 → 30

Calls

2 calls:

13.0ms	(+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))
3.0ms	(+ (* x t) (* y 5.0))

series89.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))
28.0ms	(+ (* x t) (* y 5.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	347	388
1	1777	365
2	5001	365

prune111.0ms

Filtered

36 candidates to 30 candidates (83.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

1.1s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
139.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
138.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
140.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
289.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
285.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
292.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune327.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes211.0ms

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	20	7
1	20	7

end0.0ms

sample615.0ms

Algorithm

intervals

Results

324.0ms	10521×	body	80	valid
12.0ms	85×	body	1280	valid
10.0ms	95×	body	640	valid
6.0ms	67×	body	320	valid
2.0ms	39×	body	160	valid