Details

Time bar (total: 4.5s)

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0368
11568
25398
324108
450018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.7b

localize7.0ms

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)))

rewrite116.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 146
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
59.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
33.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
41.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
154.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09341519
150021370

prune301.0ms

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)))

rewrite120.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 178
Calls
4 calls:
16.0ms
(* (+ x y) (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
72.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
7.0ms
(/ x (* (+ x y) (+ x y)))

series279.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
47.0ms
(/ y (+ (+ x y) 1.0))
154.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
63.0ms
(/ x (* (+ x y) (+ x y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06771321
137041174
250011163

prune345.0ms

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)))

rewrite152.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 318
Calls
4 calls:
19.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
15.0ms
(/ (/ x (+ x y)) (+ x y))
95.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ y (+ (+ x y) 1.0))
38.0ms
(/ x (+ x y))
64.0ms
(/ (/ x (+ x y)) (+ x y))
155.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09982781
146362579
250012579

prune578.0ms

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))))

rewrite326.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 207
Calls
4 calls:
5.0ms
(/ x (+ x y))
6.0ms
(/ 1 (+ x y))
244.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
63.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ x y))
32.0ms
(/ 1 (+ x y))
117.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
157.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify106.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08001674
146351401
250011401

prune358.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1208
2208

end0.0ms

sample576.0ms

Algorithm
intervals
Results
436.0ms8000×body80valid