Details

Time bar (total: 5.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify65.0ms

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: 24.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
24.5b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite240.0ms

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:
37.0ms
(* (+ x y) (+ x y))
122.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
73.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
42.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
168.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
09341519
150021370

prune350.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 10.1b

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)))
22.2b
(/ x (* (+ x y) (+ x y)))

rewrite236.0ms

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:
36.0ms
(* (+ x y) (+ x y))
37.0ms
(/ y (+ (+ x y) 1.0))
138.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0ms
(/ x (* (+ x y) (+ x y)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ x y) (+ x y))
49.0ms
(/ y (+ (+ x y) 1.0))
171.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
65.0ms
(/ x (* (+ x y) (+ x y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
06771321
137041174
250011163

prune393.0ms

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

rewrite258.0ms

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:
36.0ms
(/ y (+ (+ x y) 1.0))
13.0ms
(/ x (+ x y))
30.0ms
(/ (/ x (+ x y)) (+ x y))
162.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ y (+ (+ x y) 1.0))
40.0ms
(/ x (+ x y))
67.0ms
(/ (/ x (+ x y)) (+ x y))
167.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify127.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
09982781
146362579
250012579

prune657.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (/ y (+ (+ x y) 1.0))))
0.0b
(/ x (+ x y))
0.0b
(/ (/ x (+ x y)) (+ x y))
0.1b
(* (/ (/ x (+ x y)) (+ x y)) (expm1 (log1p (/ y (+ (+ x y) 1.0)))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
267×times-frac
260×*-un-lft-identity
133×add-sqr-sqrt
124×add-cube-cbrt
78×associate-*l*
68×distribute-lft-out
24×associate-/r/
21×associate-/l*
20×add-exp-log add-cbrt-cube
12×flip3-+ flip-+ div-inv
8×associate-/r*
7×cbrt-undiv div-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* prod-exp cbrt-unprod unswap-sqr
2×frac-2neg clear-num
1×expm1-log1p pow-prod-down associate-*l/ *-commutative associate-/l/ expm1-udef
Counts
4 → 261
Calls
4 calls:
0.0ms
(expm1 (log1p (/ y (+ (+ x y) 1.0))))
12.0ms
(/ x (+ x y))
31.0ms
(/ (/ x (+ x y)) (+ x y))
73.0ms
(* (/ (/ x (+ x y)) (+ x y)) (expm1 (log1p (/ y (+ (+ x y) 1.0)))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(expm1 (log1p (/ y (+ (+ x y) 1.0))))
40.0ms
(/ x (+ x y))
75.0ms
(/ (/ x (+ x y)) (+ x y))
197.0ms
(* (/ (/ x (+ x y)) (+ x y)) (expm1 (log1p (/ y (+ (+ x y) 1.0)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07112395
130372198
250012182

prune641.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01410
11410

end0.0ms

sample398.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid