Details

Time bar (total: 8.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms291×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
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))

simplify1.1s

Counts
32 → 32
Iterations
IterNodes
done5000
31241
2268
193
054

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

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))

rewrite35.0ms

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×expm1-log1p-u pow-unpow associate-/r* log1p-expm1-u 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 → 121
Calls
3 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))
10.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
10.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series59.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))
35.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
15.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify1.3s

Counts
130 → 130
Iterations
IterNodes
done5001
22642
1433
0137

prune492.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

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-*l*
18×unswap-sqr
16×associate-*r*
9×add-exp-log
7×pow1 unpow2
6×sqr-pow
5×div-inv
4×expm1-log1p-u add-cbrt-cube pow1/3 log1p-expm1-u add-log-exp
3×pow-unpow
2×cbrt-div pow-prod-down pow-exp
1×pow-to-exp pow-pow div-exp pow3 prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 154
Calls
4 calls:
5.0ms
(pow (/ (fabs (- x y)) (fabs y)) 2)
49.0ms
(* (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2)) (cbrt (/ (fabs (- x y)) (fabs y))))
3.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

series227.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (/ (fabs (- x y)) (fabs y)) 2)
15.0ms
(* (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2)) (cbrt (/ (fabs (- x y)) (fabs y))))
94.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
90.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

simplify853.0ms

Counts
166 → 166
Iterations
IterNodes
done5001
21808
1482
0208

prune857.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

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))

rewrite70.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-div
1×swap-sqr pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
52.0ms
(* (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))
4.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

series381.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (/ (fabs (- x y)) (fabs y))) (sqrt (cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))))
84.0ms
(cbrt (/ (fabs (- x y)) (fabs y)))
97.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))
94.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 2))

simplify838.0ms

Counts
168 → 168
Iterations
IterNodes
done5001
21613
1406
0219

prune976.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.2s

Algorithm
intervals
Results
349.0ms9153×body80valid