Details

Time bar (total: 12.4s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms233×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 sqrt-div add-cube-cbrt
1×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ hypot-def insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 20
Calls
1 calls:
10.0ms
(sqrt (+ x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(sqrt (+ x y))

simplify2.4s

Counts
23 → 23
Iterations
IterNodes
done5000
42197
3824
2292
1125
056

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
31.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series780.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
173.0ms
(cbrt (+ x y))
175.0ms
(cbrt (+ x y))
155.0ms
(cbrt (+ x y))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5002
31925
2735
1286
0122

prune584.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ y x))
0.2b
(* (+ y x) (sqrt (+ y x)))
18.8b
(cbrt (* (+ y x) (sqrt (+ y x))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×sqrt-div
13×*-un-lft-identity flip3-+ flip-+
9×pow1 sqrt-prod
8×frac-times cbrt-div
7×associate-*r* add-cube-cbrt
5×add-cbrt-cube add-exp-log
4×associate-*l* associate-*l/ associate-*r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
2×sqrt-pow1 pow1/2 pow3 pow-prod-up unswap-sqr
1×cbrt-prod rem-sqrt-square pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod hypot-def
Counts
3 → 79
Calls
3 calls:
10.0ms
(sqrt (+ y x))
52.0ms
(* (+ y x) (sqrt (+ y x)))
18.0ms
(cbrt (* (+ y x) (sqrt (+ y x))))

series424.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(sqrt (+ y x))
53.0ms
(* (+ y x) (sqrt (+ y x)))
330.0ms
(cbrt (* (+ y x) (sqrt (+ y x))))

simplify2.0s

Counts
88 → 88
Iterations
IterNodes
done5000
33280
2996
1344
0152

prune322.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot (sqrt x) (sqrt y))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 hypot-udef *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(hypot (sqrt x) (sqrt y))

series238.0ms

Counts
1 → 3
Calls
1 calls:
238.0ms
(hypot (sqrt x) (sqrt y))

simplify2.2s

Counts
14 → 14
Iterations
IterNodes
done5007
43045
3961
2336
1122
050

prune46.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample1.1s

Algorithm
intervals
Results
289.0ms8000×body80valid
251.0ms8062×body80nan