Details

Time bar (total: 9.2s)

sample35.0ms

Algorithm
intervals
Results
13.0ms291×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×pow1 cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.2s

Counts
30 → 30
Iterations
IterNodes
done5000
31236
2266
191
052

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.2b
(pow (/ (fabs (- x y)) (fabs y)) 3)
14.3b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
32×cbrt-prod
26×unpow-prod-down cube-prod
8×add-cbrt-cube add-exp-log
5×div-inv
4×pow1
3×pow-unpow associate-/r* associate-/l* add-log-exp
2×cube-div cube-mult cbrt-undiv unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div clear-num pow-pow frac-2neg pow1/3 rem-cbrt-cube
Counts
3 → 115
Calls
3 calls:
4.0ms
(/ (fabs (- x y)) (fabs y))
5.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
5.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series55.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))
37.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
9.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify1.3s

Counts
124 → 124
Iterations
IterNodes
done5002
22659
1428
0131

prune415.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (fabs (- x y)) (fabs y)) 2)
0.2b
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2)))
0.2b
(cbrt (/ (fabs (- x y)) (fabs y)))
10.9b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
90×cbrt-prod
83×add-sqr-sqrt
54×times-frac
45×unpow-prod-down
44×*-un-lft-identity add-cube-cbrt
21×associate-*r*
18×unswap-sqr
16×associate-*l*
9×add-exp-log
7×pow1 unpow2
6×sqr-pow
5×div-inv
4×add-cbrt-cube pow1/3 add-log-exp
3×pow-unpow
2×cbrt-div pow-prod-down pow-exp
1×pow-to-exp pow-pow cube-unmult div-exp associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 146
Calls
4 calls:
10.0ms
(pow (/ (fabs (- x y)) (fabs y)) 2)
66.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2)))
5.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
5.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

series269.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (/ (fabs (- x y)) (fabs y)) 2)
9.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2)))
77.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
154.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

simplify1.1s

Counts
158 → 158
Iterations
IterNodes
done5000
21780
1472
0202

prune983.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (fabs (- x y)) (fabs y))) (sqrt (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))))
0.2b
(cbrt (/ (fabs (- x y)) (fabs y)))
10.9b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))
10.9b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
110×cbrt-prod
92×add-sqr-sqrt
55×times-frac
45×unpow-prod-down *-un-lft-identity add-cube-cbrt
40×sqrt-prod
24×associate-*r*
21×unswap-sqr
16×associate-*l*
7×unpow2
6×pow1 add-exp-log sqr-pow
5×add-cbrt-cube div-inv
4×add-log-exp
3×pow1/3
2×cbrt-div
1×swap-sqr pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
55.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (sqrt (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))))
2.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))
5.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

series442.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (sqrt (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))))
76.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
127.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))
119.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

simplify991.0ms

Counts
160 → 160
Iterations
IterNodes
done5000
21688
1400
0213

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes141.0ms

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
done6
06

end0.0ms

sample734.0ms

Algorithm
intervals
Results
404.0ms9153×body80valid