Details

Time bar (total: 4.4s)

sample21.0ms

Algorithm
intervals
Results
14.0ms256×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: 21.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.5b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite129.0ms

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))
66.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
36.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
42.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
168.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09161489
150011351

prune310.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.7b

localize8.0ms

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)))
21.6b
(/ x (* (+ x y) (+ x y)))

rewrite128.0ms

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:
17.0ms
(* (+ x y) (+ x y))
19.0ms
(/ y (+ (+ x y) 1.0))
77.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
50.0ms
(/ y (+ (+ x y) 1.0))
166.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
68.0ms
(/ x (* (+ x y) (+ x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06611282
135911138
250011127

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-exp-log add-cbrt-cube
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 310
Calls
4 calls:
19.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
17.0ms
(/ (/ x (+ x y)) (+ x y))
106.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ (+ x y) 1.0))
45.0ms
(/ x (+ x y))
67.0ms
(/ (/ x (+ x y)) (+ x y))
168.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify116.0ms

Algorithm
egg-herbie
Counts
322 → 322
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09822745
145592543
250022535

prune571.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
90×*-un-lft-identity
67×times-frac
61×add-cbrt-cube
59×add-sqr-sqrt
47×add-cube-cbrt
40×prod-exp
36×associate-*l*
33×div-exp
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×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 → 199
Calls
4 calls:
5.0ms
(/ x (+ x y))
6.0ms
(/ 1 (+ x y))
63.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
68.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x y))
33.0ms
(/ 1 (+ x y))
130.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
169.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify115.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07861629
145591359
250021332

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes47.0ms

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
0128
1128

end0.0ms

sample572.0ms

Algorithm
intervals
Results
436.0ms8000×body80valid