Details

Time bar (total: 5.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify46.0ms

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: 20.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.6b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite231.0ms

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:
34.0ms
(* (+ x y) (+ x y))
118.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
70.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
49.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
161.0ms
(/ (* 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

prune300.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.0b

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

rewrite225.0ms

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:
34.0ms
(* (+ x y) (+ x y))
35.0ms
(/ y (+ (+ x y) 1.0))
129.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.0ms
(/ x (* (+ x y) (+ x y)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ x y) (+ x y))
46.0ms
(/ y (+ (+ x y) 1.0))
164.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
78.0ms
(/ x (* (+ x y) (+ x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06611282
135911138
250011127

prune325.0ms

Pruning

8 alts after pruning (8 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)))

rewrite246.0ms

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:
35.0ms
(/ y (+ (+ x y) 1.0))
12.0ms
(/ x (+ x y))
28.0ms
(/ (/ x (+ x y)) (+ x y))
154.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ y (+ (+ x y) 1.0))
41.0ms
(/ x (+ x y))
72.0ms
(/ (/ x (+ x y)) (+ x y))
169.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
322 → 322
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09822745
145592543
250022535

prune561.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
519×times-frac
486×*-un-lft-identity
284×add-sqr-sqrt
227×add-cube-cbrt
139×distribute-lft-out
100×add-exp-log
78×associate-*l*
62×associate-*r*
53×div-exp
52×add-cbrt-cube
26×associate-/r* associate-/l*
25×cbrt-undiv
24×associate-/r/
21×prod-exp div-inv
15×unswap-sqr
12×flip3-+ flip-+
9×cbrt-unprod
8×rec-exp 1-exp
7×pow1
4×add-log-exp
3×frac-2neg clear-num associate-/l/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 446
Calls
4 calls:
70.0ms
(/ (+ (+ x y) 1.0) y)
28.0ms
(/ (/ x (+ x y)) (+ x y))
200.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
41.0ms
(/ 1 (/ (+ (+ x y) 1.0) y))

series330.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (+ (+ x y) 1.0) y)
71.0ms
(/ (/ x (+ x y)) (+ x y))
166.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
68.0ms
(/ 1 (/ (+ (+ x y) 1.0) y))

simplify77.0ms

Algorithm
egg-herbie
Counts
458 → 458
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014704511
150023988

prune981.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.2b 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
0169
1169

end0.0ms

sample385.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid