Details

sample25.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))

rewrite46.0ms

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:

6.0ms	(+ (+ y z) z)
9.0ms	(+ (+ (+ y z) z) y)
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series158.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ y z) z)
34.0ms	(+ (+ (+ y z) z) y)
57.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
43.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune188.0ms

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))

rewrite19.0ms

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:

8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
61.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (33.0ms)

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

prune90.0ms

Pruning

5 alts after pruning (4 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) (* y 5.0)))
0.0b	(+ (* x t) (* y 5.0))

rewrite15.0ms

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:

11.0ms	(+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))
4.0ms	(+ (* x t) (* y 5.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))
30.0ms	(+ (* 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

prune110.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))) (cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))))
0.6b	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))
0.6b	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))
0.6b	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
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` `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 → 139

Calls

4 calls:

25.0ms	(* (cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))) (cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))))
10.0ms	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))
10.0ms	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))
10.0ms	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

395.0ms	(* (cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))) (cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0)))))
284.0ms	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))
279.0ms	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))
276.0ms	(cbrt (+ (* (* 2 x) (+ y z)) (+ (* x t) (* y 5.0))))

simplify117.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	666	5090
1	2640	4969
2	5001	4867

prune603.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes159.0ms

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

sample631.0ms

Algorithm

intervals

Results

327.0ms	10521×	body	80	valid
12.0ms	85×	body	1280	valid
11.0ms	95×	body	640	valid
6.0ms	67×	body	320	valid
2.0ms	39×	body	160	valid