Details

Time bar (total: 3.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify53.0ms

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: 19.8b

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))
19.6b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite48.0ms

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:
8.0ms
(* (+ x y) (+ x y))
15.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
42.0ms
(* (* (+ 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 (27.0ms)

IterNodesCost
09341519
150021370

prune300.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.6b

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)))
19.9b
(/ x (* (+ x y) (+ x y)))

rewrite55.0ms

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:
11.0ms
(* (+ x y) (+ x y))
7.0ms
(/ y (+ (+ x y) 1.0))
22.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
49.0ms
(/ y (+ (+ x y) 1.0))
158.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
59.0ms
(/ x (* (+ x y) (+ x y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06771321
137041174
250011163

prune324.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
295×*-un-lft-identity
291×times-frac
153×add-sqr-sqrt
132×add-cube-cbrt
85×distribute-lft-out
78×associate-*l*
31×add-exp-log add-cbrt-cube
26×associate-/r/
21×associate-*r* associate-/l*
13×cbrt-undiv flip3-+ div-exp flip-+ div-inv
9×associate-/r*
6×prod-exp cbrt-unprod unswap-sqr
5×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 283
Calls
3 calls:
7.0ms
(/ y (+ (+ x y) 1.0))
10.0ms
(/ (/ x (+ x y)) (+ x y))
44.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series261.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (+ (+ x y) 1.0))
62.0ms
(/ (/ x (+ x y)) (+ x y))
155.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify113.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09952624
146332429
250012429

prune480.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity
50×times-frac
44×add-sqr-sqrt
35×add-exp-log add-cbrt-cube
32×add-cube-cbrt
26×distribute-lft-out
21×associate-*r*
18×associate-*l*
14×cbrt-undiv div-exp
9×associate-/r*
8×prod-exp associate-/r/ cbrt-unprod
5×pow1
4×flip3-+ flip-+ div-inv associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×pow-prod-down *-commutative
Counts
3 → 140
Calls
3 calls:
7.0ms
(/ y (+ (+ x y) 1.0))
20.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
21.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series328.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (+ (+ x y) 1.0))
118.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
159.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify79.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06131172
132891015
250011015

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample352.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid