Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	322×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	160	valid

simplify38.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite49.0ms

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:

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

series160.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ y z) z) y)
29.0ms	(+ (+ y z) z)
58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

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

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

6.0ms	(+ (+ y z) z)
4.0ms	(+ (* t x) (* y 5.0))
15.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
12.0ms	(* x (+ (+ (+ y z) z) y))

series167.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ y z) z)
34.0ms	(+ (* t x) (* y 5.0))
57.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
52.0ms	(* x (+ (+ (+ y z) z) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	487	643
1	2470	601
2	5001	596

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

14.0ms	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))
139.0ms	(cbrt (+ (* t x) (* y 5.0)))
132.0ms	(cbrt (+ (* t x) (* y 5.0)))
132.0ms	(cbrt (+ (* t x) (* y 5.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	307	1051
1	972	984
2	3365	908
3	5002	899

prune341.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* t x) (* y 5.0)))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ (* t x) (* y 5.0)))
136.0ms	(cbrt (+ (* t x) (* y 5.0)))
126.0ms	(cbrt (+ (* t x) (* y 5.0)))
133.0ms	(cbrt (+ (* t x) (* y 5.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	171	556
1	443	520
2	1192	496
3	2728	492
4	5001	484

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample637.0ms

Algorithm

intervals

Results

336.0ms	10559×	body	80	valid
14.0ms	97×	body	1280	valid
12.0ms	108×	body	640	valid
5.0ms	60×	body	320	valid
2.0ms	39×	body	160	valid