Details

Time bar (total: 10.9s)

sample30.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms248×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

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
(sqrt (+ x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
11.0ms
(sqrt (+ x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(sqrt (+ x y))

simplify2.7s

Counts
19 → 19
Iterations

Useful iterations: 5 (701.0ms)

IterNodesCost
053174
1115151
2240147
3471137
4845136
51417134
62636134
done5001134

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
56×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×frac-times add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
10.0ms
(sqrt (+ x y))
9.0ms
(sqrt (sqrt (+ x y)))
9.0ms
(sqrt (sqrt (+ x y)))
73.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (+ x y))
225.0ms
(sqrt (sqrt (+ x y)))
233.0ms
(sqrt (sqrt (+ x y)))
40.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify2.0s

Counts
160 → 160
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01622186
13271371
28401307
322401266
done50011240

prune246.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
45.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series649.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
168.0ms
(cbrt (+ x y))
149.0ms
(cbrt (+ x y))
136.0ms
(cbrt (+ x y))

simplify2.9s

Counts
107 → 107
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01161266
12481147
25891089
314091020
441291006
done5000967

prune402.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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
044
154
done54

end0.0ms

sample979.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid
175.0ms8257×body80nan