Details

Time bar (total: 3.8s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0368
11528
25018
321538
450018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

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))
18.3b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite123.0ms

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))
63.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
34.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ x y) (+ x y))
41.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
156.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09161489
150011351

prune294.0ms

Filtered
149 candidates to 88 candidates (59.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.7b

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)))
20.4b
(/ 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:
17.0ms
(* (+ x y) (+ x y))
18.0ms
(/ y (+ (+ x y) 1.0))
72.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
50.0ms
(/ y (+ (+ x y) 1.0))
164.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
65.0ms
(/ x (* (+ x y) (+ x y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06611282
135911138
250011127

prune323.0ms

Filtered
182 candidates to 112 candidates (61.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log *-un-lft-identity
73×times-frac
65×add-sqr-sqrt
61×add-cbrt-cube
48×add-cube-cbrt
42×prod-exp
39×associate-*r*
36×div-exp
31×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
12×pow1
10×associate-/r/
9×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 207
Calls
4 calls:
6.0ms
(/ 1 (+ x y))
19.0ms
(/ y (+ (+ x y) 1.0))
66.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))
35.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (+ x y))
45.0ms
(/ y (+ (+ x y) 1.0))
163.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))
66.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08241633
146131342
250021316

prune326.0ms

Filtered
219 candidates to 117 candidates (53.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
0.1b
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ 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-*l*
18×associate-*r*
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))
20.0ms
(/ y (+ (+ x y) 1.0))
57.0ms
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
24.0ms
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

series387.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x y))
52.0ms
(/ y (+ (+ x y) 1.0))
126.0ms
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
168.0ms
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

simplify92.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06351297
134371135
250021135

prune317.0ms

Filtered
179 candidates to 118 candidates (65.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

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
0128
1128

end0.0ms

sample346.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid