Details

Time bar (total: 3.9s)

sample26.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ 1.0 (* x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
8.0ms
(/ 1.0 (* x x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ 1.0 (* x x))

simplify89.0ms

Counts
24 → 24

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
15.0ms
(/ (/ 1.0 x) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (/ 1.0 x) x)

simplify30.0ms

Counts
73 → 73

prune113.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
27.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
6.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series963.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
228.0ms
(cbrt (/ 1.0 x))
231.0ms
(cbrt (/ 1.0 x))
230.0ms
(cbrt (/ 1.0 x))

simplify126.0ms

Counts
156 → 156

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
75×add-sqr-sqrt
60×times-frac
51×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
6×add-exp-log cbrt-div div-inv
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt x)
27.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
3.0ms
(cbrt (/ 1.0 x))

series935.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt x)
265.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
225.0ms
(cbrt (/ 1.0 x))
234.0ms
(cbrt (/ 1.0 x))

simplify36.0ms

Counts
145 → 145

prune409.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample445.0ms

Algorithm
intervals
Results
264.0ms10640×body80valid