Details

Time bar (total: 10.5s)

sample37.0ms

Algorithm
intervals
Results
16.0ms520×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3216
4486
51346
66776
done50006

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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:
14.0ms
(* x (exp (* y y)))

series33.0ms

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

simplify1.7s

Counts
23 → 23
Iterations

Useful iterations: 3 (468.0ms)

IterNodesCost
037188
187185
2364161
32211159
done5000159

prune53.0ms

Pruning

4 alts after pruning (3 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))))

rewrite99.0ms

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:
6.0ms
(sqrt (exp (* y y)))
6.0ms
(sqrt (exp (* y y)))
26.0ms
(* x (sqrt (exp (* y y))))
59.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (exp (* y y)))
33.0ms
(sqrt (exp (* y y)))
66.0ms
(* x (sqrt (exp (* y y))))
50.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify799.0ms

Counts
93 → 93
Iterations

Useful iterations: done (797.0ms)

IterNodesCost
080962
1186865
2984669
done5001666

prune345.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log
13×pow-unpow associate-*r*
11×add-cbrt-cube
10×prod-exp
9×times-frac
8×pow1
7×sqrt-prod
6×unpow-prod-down
5×add-log-exp
4×expm1-log1p-u exp-prod pow-pow associate-*l* cbrt-unprod log1p-expm1-u
3×pow-to-exp sqrt-pow1 pow-exp
2×*-commutative unswap-sqr sqr-pow
1×rem-sqrt-square exp-to-pow pow1/2 pow-prod-down div-inv
Counts
4 → 99
Calls
4 calls:
6.0ms
(pow (exp y) (/ y 2))
3.0ms
(sqrt (exp (* y y)))
22.0ms
(* x (sqrt (exp (* y y))))
77.0ms
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (/ y 2)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(pow (exp y) (/ y 2))
38.0ms
(sqrt (exp (* y y)))
55.0ms
(* x (sqrt (exp (* y y))))
132.0ms
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (/ y 2)))

simplify1.5s

Counts
111 → 111
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01461229
13891117
219461023
done50001013

prune361.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
58×prod-exp
20×add-cbrt-cube
19×add-sqr-sqrt
17×associate-*r*
15×pow-to-exp pow-exp
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×sqrt-prod
12×unpow-prod-down
10×cbrt-unprod
7×pow1
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×sqrt-pow1 *-commutative
2×unswap-sqr sqr-pow
1×rem-sqrt-square exp-prod exp-to-pow pow1/2 pow-prod-down
Counts
4 → 115
Calls
4 calls:
4.0ms
(sqrt (exp (* y y)))
139.0ms
(* (* (pow (sqrt (exp y)) (/ y 2)) (* x (sqrt (exp (* y y))))) (pow (sqrt (exp y)) (/ y 2)))
24.0ms
(* x (sqrt (exp (* y y))))
66.0ms
(* (pow (sqrt (exp y)) (/ y 2)) (* x (sqrt (exp (* y y)))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (exp (* y y)))
169.0ms
(* (* (pow (sqrt (exp y)) (/ y 2)) (* x (sqrt (exp (* y y))))) (pow (sqrt (exp y)) (/ y 2)))
52.0ms
(* x (sqrt (exp (* y y))))
161.0ms
(* (pow (sqrt (exp y)) (/ y 2)) (* x (sqrt (exp (* y y)))))

simplify1.4s

Counts
127 → 127
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01562363
13982170
219691772
done50001724

prune358.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes164.0ms

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 (0.0ms)

IterNodesCost
01114
11314
done1314

end0.0ms

sample1.1s

Algorithm
intervals
Results
552.0ms15842×body80valid