Details

Time bar (total: 2.9s)

sample25.0ms

Algorithm
intervals
Results
8.0ms276×body80valid
5.0ms279×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
13.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (- 1.0 x) (* y (sqrt x)))
41.0ms
(* y (sqrt x))

simplify140.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0240231
1957202
24716192
35001192

prune87.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×sub-neg flip3-- distribute-rgt-out-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod
Counts
2 → 35
Calls
2 calls:
2.0ms
(- x (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- x (* y (sqrt x)))
40.0ms
(* y (sqrt x))

simplify133.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0206204
1843177
24124170
35002170

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
1.0ms
(sqrt (sqrt x))
1.0ms
(sqrt (sqrt x))
7.0ms
(* y (sqrt (sqrt x)))
17.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(sqrt (sqrt x))
133.0ms
(sqrt (sqrt x))
80.0ms
(* y (sqrt (sqrt x)))
42.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336516
11481454
25001427

prune192.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt x)))
0.3b
(* y (sqrt (sqrt (sqrt x))))
0.3b
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.3b
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
33×associate-*r*
30×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp unswap-sqr
3×rem-sqrt-square pow1/2 *-commutative
Counts
4 → 109
Calls
4 calls:
2.0ms
(sqrt (sqrt (sqrt x)))
9.0ms
(* y (sqrt (sqrt (sqrt x))))
40.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
95.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(sqrt (sqrt (sqrt x)))
94.0ms
(* y (sqrt (sqrt (sqrt x))))
84.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
42.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0466908
12279739
25001664

prune252.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample649.0ms

Algorithm
intervals
Results
190.0ms8556×body80valid
179.0ms8514×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid