Details

Time bar (total: 4.7s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×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: 20.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.5b
(/ (* 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))
18.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
45.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
158.0ms
(/ (* 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

prune308.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

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)))
20.7b
(/ x (* (+ x y) (+ x y)))

rewrite52.0ms

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:
8.0ms
(* (+ 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)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
47.0ms
(/ y (+ (+ x y) 1.0))
154.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
64.0ms
(/ x (* (+ x y) (+ x y)))

simplify96.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06771321
137041174
250011163

prune347.0ms

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)))

rewrite83.0ms

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:
9.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
11.0ms
(/ (/ x (+ x y)) (+ x y))
41.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ y (+ (+ x y) 1.0))
38.0ms
(/ x (+ x y))
66.0ms
(/ (/ x (+ x y)) (+ x y))
161.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify108.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09982781
146362579
250012579

prune569.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) x)
0.1b
(/ (/ 1 (/ (+ x y) x)) (+ x y))
0.1b
(* (/ (/ 1 (/ (+ x y) x)) (+ x y)) (/ y (+ (+ x y) 1.0)))
0.5b
(/ 1 (/ (+ x y) x))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
1331×times-frac
975×*-un-lft-identity
596×add-sqr-sqrt
548×add-cube-cbrt
218×associate-*l*
213×distribute-lft-out
100×add-exp-log
60×associate-/l*
58×div-exp
52×add-cbrt-cube
45×div-inv
26×cbrt-undiv
23×associate-/r*
21×associate-*r*
16×prod-exp associate-/r/
12×unswap-sqr
8×rec-exp 1-exp cbrt-unprod
7×pow1
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/l/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 708
Calls
4 calls:
5.0ms
(/ (+ x y) x)
20.0ms
(/ (/ 1 (/ (+ x y) x)) (+ x y))
94.0ms
(* (/ (/ 1 (/ (+ x y) x)) (+ x y)) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ 1 (/ (+ x y) x))

series296.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (+ x y) x)
60.0ms
(/ (/ 1 (/ (+ x y) x)) (+ x y))
162.0ms
(* (/ (/ 1 (/ (+ x y) x)) (+ x y)) (/ y (+ (+ x y) 1.0)))
47.0ms
(/ 1 (/ (+ x y) x))

simplify120.0ms

Algorithm
egg-herbie
Counts
720 → 720
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
021657740
150017029

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes52.0ms

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

sample341.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid