Details

Time bar (total: 3.8s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0368
11528
25018
321538
450018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.6b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
17.0ms
(* (+ x y) (+ x y))
61.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
36.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
39.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
154.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09161489
150011351

prune286.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.9b
(/ x (* (+ x y) (+ x y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
18.0ms
(* (+ x y) (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
71.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
48.0ms
(/ y (+ (+ x y) 1.0))
154.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms
(/ x (* (+ x y) (+ x y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06611282
135911138
250011127

prune308.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
99×add-exp-log
70×times-frac
61×add-cbrt-cube
60×add-sqr-sqrt
48×add-cube-cbrt
40×prod-exp
36×associate-*l*
33×div-exp
31×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
9×associate-/r*
6×frac-times rec-exp 1-exp associate-*r/ associate-/l*
5×flip3-+ flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 203
Calls
4 calls:
7.0ms
(/ 1 (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
59.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
59.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ x y))
50.0ms
(/ y (+ (+ x y) 1.0))
116.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
156.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07901700
145421421
250011394

prune328.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.1b
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
62×times-frac
54×add-sqr-sqrt
42×add-cube-cbrt
38×add-exp-log add-cbrt-cube
30×distribute-lft-out
21×associate-*r*
18×associate-*l*
15×cbrt-undiv div-exp
13×associate-/r*
10×associate-/r/
8×prod-exp cbrt-unprod
7×associate-/l*
6×pow1
5×flip3-+ flip-+ div-inv
4×add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 167
Calls
4 calls:
5.0ms
(/ x (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
59.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
21.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series366.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ x y))
45.0ms
(/ y (+ (+ x y) 1.0))
123.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
154.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06281285
134181122
250011122

prune383.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b 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)

IterNodesCost
02012
12012

end0.0ms

sample345.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid