Details

Time bar (total: 9.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0368
11568
25398
324108
450018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

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))
17.9b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite221.0ms

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:
34.0ms
(* (+ x y) (+ x y))
113.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
67.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
46.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
159.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09341519
150021370

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.4b

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)))
17.8b
(/ x (* (+ x y) (+ x y)))

rewrite214.0ms

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:
32.0ms
(* (+ x y) (+ x y))
34.0ms
(/ y (+ (+ x y) 1.0))
125.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.0ms
(/ x (* (+ x y) (+ x y)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ x y) (+ x y))
52.0ms
(/ y (+ (+ x y) 1.0))
166.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
68.0ms
(/ x (* (+ x y) (+ x y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06771321
137041174
250011163

prune333.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite232.0ms

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:
33.0ms
(/ y (+ (+ x y) 1.0))
10.0ms
(/ x (+ x y))
26.0ms
(/ (/ x (+ x y)) (+ x y))
145.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ y (+ (+ x y) 1.0))
40.0ms
(/ x (+ x y))
68.0ms
(/ (/ x (+ x y)) (+ x y))
166.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09982781
146362579
250012579

prune566.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(/ (+ x y) (/ x (+ x y)))
0.1b
(* (/ (/ 1 1) (/ (+ x y) (/ x (+ x y)))) (/ y (+ (+ x y) 1.0)))
0.3b
(/ (/ 1 1) (/ (+ x y) (/ x (+ x y))))

rewrite981.0ms

Algorithm
rewrite-expression-head
Rules
6896×times-frac
4279×*-un-lft-identity
2684×add-sqr-sqrt
2544×add-cube-cbrt
1006×associate-*l*
857×distribute-lft-out
300×div-inv
260×associate-/r/
259×add-exp-log
188×div-exp
116×flip3-+ flip-+
99×associate-/r*
97×add-cbrt-cube
56×cbrt-undiv
45×1-exp
44×prod-exp
32×unswap-sqr
21×associate-*r*
20×associate-/l*
18×rec-exp
14×cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 2411
Calls
4 calls:
10.0ms
(/ x (+ x y))
29.0ms
(/ (+ x y) (/ x (+ x y)))
584.0ms
(* (/ (/ 1 1) (/ (+ x y) (/ x (+ x y)))) (/ y (+ (+ x y) 1.0)))
58.0ms
(/ (/ 1 1) (/ (+ x y) (/ x (+ x y))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ x (+ x y))
31.0ms
(/ (+ x y) (/ x (+ x y)))
160.0ms
(* (/ (/ 1 1) (/ (+ x y) (/ x (+ x y)))) (/ y (+ (+ x y) 1.0)))
71.0ms
(/ (/ 1 1) (/ (+ x y) (/ x (+ x y))))

simplify329.0ms

Algorithm
egg-herbie
Counts
2423 → 2423
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0500131622

prune4.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample393.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid