Details

Time bar (total: 20.8s)

sample44.0ms

Algorithm
intervals
Results
18.0ms517×body80valid

simplify8.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3216
4476
51276
63426
711136
844506
done50006

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (exp (* y y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
28.0ms
(* x (exp (* y y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (exp (* y y)))

simplify3.4s

Counts
23 → 23
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
037188
175184
2158159
3300159
4893159
53242159
done5000159

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp (* y y)))
0.0b
(sqrt (exp (* y y)))
0.0b
(* x (sqrt (exp (* y y))))
0.0b
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×sqrt-pow1 add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(sqrt (exp (* y y)))
3.0ms
(sqrt (exp (* y y)))
16.0ms
(* x (sqrt (exp (* y y))))
60.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series165.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (exp (* y y)))
28.0ms
(sqrt (exp (* y y)))
56.0ms
(* x (sqrt (exp (* y y))))
41.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify3.3s

Counts
93 → 93
Iterations

Useful iterations: done (3.3s)

IterNodesCost
080962
1168739
2434669
3887666
42449663
done5000661

prune289.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
67×pow1
41×sqrt-prod
38×pow-prod-down
34×sqrt-pow1
29×add-sqr-sqrt
22×pow1/2
18×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×prod-exp cbrt-unprod
8×pow-prod-up
7×associate-*l*
6×sqrt-unprod pow-sqr add-log-exp unswap-sqr
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u
2×exp-prod exp-to-pow pow-plus *-commutative
1×pow2 swap-sqr rem-square-sqrt
Counts
4 → 129
Calls
4 calls:
23.0ms
(* (sqrt x) (sqrt (sqrt (exp (* y y)))))
8.0ms
(sqrt (sqrt (exp (* y y))))
5.0ms
(sqrt (sqrt (exp (* y y))))
120.0ms
(* (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (sqrt x) (sqrt (sqrt (exp (* y y)))))
172.0ms
(sqrt (sqrt (exp (* y y))))
152.0ms
(sqrt (sqrt (exp (* y y))))
59.0ms
(* (* (sqrt x) (sqrt (sqrt (exp (* y y))))) (* (sqrt x) (sqrt (sqrt (exp (* y y))))))

simplify3.1s

Counts
141 → 141
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01421829
13161288
29241115
328351091
done50001088

prune422.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0713
1913
done913

end0.0ms

sample953.0ms

Algorithm
intervals
Results
432.0ms15919×body80valid