Details

Time bar (total: 10.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms524×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2126
3216
4486
51216
63406
713286
done50016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
5.0ms
(* x (exp (* y y)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* x (exp (* y y)))

simplify3.6s

Counts
23 → 23
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
037188
177184
2243159
3835159
43718159
done5000159

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

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

rewrite29.0ms

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:
1.0ms
(sqrt (exp (* y y)))
1.0ms
(sqrt (exp (* y y)))
17.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
7.0ms
(* x (sqrt (exp (* y y))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt (exp (* y y)))
26.0ms
(sqrt (exp (* y y)))
43.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
53.0ms
(* x (sqrt (exp (* y y))))

simplify1.8s

Counts
93 → 93
Iterations

Useful iterations: 3 (424.0ms)

IterNodesCost
080962
1176743
2662669
32233666
done5000666

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (* y 1/2)))
0.0b
(sqrt (exp (* y y)))
0.0b
(* x (sqrt (exp (* y y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
14×add-sqr-sqrt
13×associate-*r*
10×prod-exp add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×pow1
4×associate-*l* cbrt-unprod add-log-exp
3×expm1-log1p-u unpow-prod-down sqrt-pow1 log1p-expm1-u
2×pow-to-exp pow-exp *-commutative unswap-sqr
1×rem-sqrt-square exp-prod exp-to-pow pow1/2 pow-prod-down sqr-pow
Counts
3 → 67
Calls
3 calls:
17.0ms
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (* y 1/2)))
1.0ms
(sqrt (exp (* y y)))
7.0ms
(* x (sqrt (exp (* y y))))

series208.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (* y 1/2)))
27.0ms
(sqrt (exp (* y y)))
60.0ms
(* x (sqrt (exp (* y y))))

simplify680.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
0109916
1248816
2990742
done5000742

prune215.0ms

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
24×associate-*r*
21×pow1 add-sqr-sqrt
20×add-exp-log add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×sqrt-pow1 *-commutative unswap-sqr
1×rem-sqrt-square exp-prod exp-to-pow pow1/2
Counts
4 → 97
Calls
4 calls:
1.0ms
(sqrt (exp (* y y)))
94.0ms
(* (* (* x (sqrt (sqrt (exp (* y y))))) (sqrt (sqrt (exp (* y y))))) (sqrt (exp (* y y))))
10.0ms
(* x (sqrt (sqrt (exp (* y y)))))
25.0ms
(* (* x (sqrt (sqrt (exp (* y y))))) (sqrt (sqrt (exp (* y y)))))

series210.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(sqrt (exp (* y y)))
39.0ms
(* (* (* x (sqrt (sqrt (exp (* y y))))) (sqrt (sqrt (exp (* y y))))) (sqrt (exp (* y y))))
88.0ms
(* x (sqrt (sqrt (exp (* y y)))))
56.0ms
(* (* x (sqrt (sqrt (exp (* y y))))) (sqrt (sqrt (exp (* y y)))))

simplify1.1s

Counts
109 → 109
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
01191767
12781220
21207910
done5001910

prune263.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample552.0ms

Algorithm
intervals
Results
306.0ms16034×body80valid