Details

Time bar (total: 4.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0368
11568
25398
324108
450018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

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))
17.9b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite230.0ms

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:
34.0ms
(* (+ x y) (+ x y))
117.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
71.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (+ x y) (+ x y))
43.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
146.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09341519
150021370

prune310.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.4b

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)))
17.8b
(/ x (* (+ x y) (+ x y)))

rewrite223.0ms

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:
34.0ms
(* (+ x y) (+ x y))
35.0ms
(/ y (+ (+ x y) 1.0))
131.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
16.0ms
(/ x (* (+ x y) (+ x y)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (+ x y) (+ x y))
40.0ms
(/ y (+ (+ x y) 1.0))
148.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms
(/ x (* (+ x y) (+ x y)))

simplify102.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06771321
137041174
250011163

prune339.0ms

Pruning

5 alts after pruning (5 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)))

rewrite248.0ms

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))
11.0ms
(/ x (+ x y))
29.0ms
(/ (/ x (+ x y)) (+ x y))
153.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ y (+ (+ x y) 1.0))
36.0ms
(/ x (+ x y))
62.0ms
(/ (/ x (+ x y)) (+ x y))
152.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09982781
146362579
250012579

prune578.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
92×*-un-lft-identity
70×times-frac
64×add-sqr-sqrt
61×add-cbrt-cube
47×add-cube-cbrt
42×prod-exp
36×div-exp associate-*l*
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*r/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 211
Calls
4 calls:
13.0ms
(/ 1 (+ x y))
11.0ms
(/ x (+ x y))
116.0ms
(* (/ x (+ x y)) (* (/ 1 (+ x y)) (/ y (+ (+ x y) 1.0))))
105.0ms
(* (/ 1 (+ x y)) (/ y (+ (+ x y) 1.0)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (+ x y))
35.0ms
(/ x (+ x y))
153.0ms
(* (/ x (+ x y)) (* (/ 1 (+ x y)) (/ y (+ (+ x y) 1.0))))
101.0ms
(* (/ 1 (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08291683
143871394
250011393

prune356.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes43.0ms

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
0179
1179

end0.0ms

sample389.0ms

Algorithm
intervals
Results
215.0ms8000×body80valid