Details

Time bar (total: 3.6s)

sample39.0ms

Algorithm
intervals
Results
16.0ms503×body80valid

simplify90.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
083
1123
2213
3483
41333
54373
619263
750013
done50013

prune2.0ms

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)))

rewrite14.0ms

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:
13.0ms
(* x (exp (* y y)))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* x (exp (* y y)))

simplify177.0ms

Counts
23 → 23
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
076102
127987
2102887
3494787
4500187
done500187

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 47
Calls
2 calls:
15.0ms
(* x (sqrt (exp (* y y))))
42.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series87.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (sqrt (exp (* y y))))
35.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify88.0ms

Counts
53 → 53
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0147354
1716298
22638288
35002285
done5002285

prune103.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
13×add-exp-log cbrt-prod add-sqr-sqrt add-cbrt-cube
12×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×rem-sqrt-square sqrt-pow1
1×pow1/2 associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
4.0ms
(sqrt (cbrt (exp (* y y))))
106.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (cbrt (exp (* y y)))))) (sqrt (cbrt (exp (* y y)))))
3.0ms
(cbrt (exp (* y y)))
3.0ms
(cbrt (exp (* y y)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(sqrt (cbrt (exp (* y y))))
122.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (cbrt (exp (* y y)))))) (sqrt (cbrt (exp (* y y)))))
120.0ms
(cbrt (exp (* y y)))
121.0ms
(cbrt (exp (* y y)))

simplify61.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0263808
11236719
25002693
done5002693

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
39×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
20×pow1
18×associate-*r*
15×add-exp-log
13×add-cbrt-cube
10×associate-*l*
9×swap-sqr unswap-sqr
8×pow1/3 pow-prod-down
7×prod-exp cbrt-unprod
6×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (exp (* y y)))
2.0ms
(cbrt (exp (* y y)))
106.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (* (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))))))) (sqrt (cbrt (exp (* y y)))))
24.0ms
(* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (exp (* y y)))
122.0ms
(cbrt (exp (* y y)))
125.0ms
(* (* x (* (sqrt (exp (* y y))) (fabs (* (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))))))) (sqrt (cbrt (exp (* y y)))))
151.0ms
(* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))

simplify72.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
03331789
115191567
250021483
done50021483

prune452.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01825
11825
done1825

end0.0ms

sample613.0ms

Algorithm
intervals
Results
290.0ms15848×body80valid