Details

Time bar (total: 5.8s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify51.0ms

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: 17.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.6b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite113.0ms

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))
58.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
32.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (+ x y) (+ x y))
41.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
164.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09341519
150021370

prune303.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.8b

localize9.0ms

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)))
17.5b
(/ x (* (+ x y) (+ x y)))

rewrite116.0ms

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))
17.0ms
(/ y (+ (+ x y) 1.0))
68.0ms
(* (/ 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))
48.0ms
(/ y (+ (+ x y) 1.0))
155.0ms
(* (/ 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 (83.0ms)

IterNodesCost
06771321
137041174
250011163

prune349.0ms

Pruning

6 alts after pruning (6 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)))

rewrite147.0ms

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))
14.0ms
(/ (/ x (+ x y)) (+ x y))
92.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ y (+ (+ x y) 1.0))
37.0ms
(/ x (+ x y))
67.0ms
(/ (/ x (+ x y)) (+ x y))
163.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify113.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09982781
146362579
250012579

prune570.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(/ (/ y (+ (+ x y) 1.0)) (+ x y))
0.1b
(/ (/ (/ y (+ (+ x y) 1.0)) (+ x y)) (+ x y))
6.0b
(* x (/ (/ (/ y (+ (+ x y) 1.0)) (+ x y)) (+ x y)))

rewrite377.0ms

Algorithm
rewrite-expression-head
Rules
2205×*-un-lft-identity
2196×times-frac
800×add-sqr-sqrt
786×add-cube-cbrt
773×distribute-lft-out
366×associate-*r*
114×associate-/l*
108×associate-/r/
54×flip3-+ flip-+ div-inv
34×add-exp-log add-cbrt-cube
16×cbrt-undiv div-exp
13×associate-/r*
6×pow1
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×frac-2neg associate-*l* clear-num
2×associate-/l/
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 1035
Calls
4 calls:
19.0ms
(/ y (+ (+ x y) 1.0))
33.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))
62.0ms
(/ (/ (/ y (+ (+ x y) 1.0)) (+ x y)) (+ x y))
167.0ms
(* x (/ (/ (/ y (+ (+ x y) 1.0)) (+ x y)) (+ x y)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ y (+ (+ x y) 1.0))
96.0ms
(/ (/ y (+ (+ x y) 1.0)) (+ x y))
125.0ms
(/ (/ (/ y (+ (+ x y) 1.0)) (+ x y)) (+ x y))
164.0ms
(* x (/ (/ (/ y (+ (+ x y) 1.0)) (+ x y)) (+ x y)))

simplify159.0ms

Algorithm
egg-herbie
Counts
1047 → 1047
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0195512510
1500212204

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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

sample509.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid