Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
19.0ms
(/ x (+ x y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ x (+ x y))

simplify48.0ms

Counts
36 → 36

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.1b
(* x (/ 1 (+ x y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
21.0ms
(/ 1 (+ x y))
47.0ms
(* x (/ 1 (+ x y)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ 1 (+ x y))
66.0ms
(* x (/ 1 (+ x y)))

simplify46.0ms

Counts
84 → 84

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y)))))
8.4b
(cbrt (* x (/ 1 (+ x y))))
8.4b
(cbrt (* x (/ 1 (+ x y))))
8.4b
(cbrt (* x (/ 1 (+ x y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
11×pow1 associate-*r/
10×add-sqr-sqrt
9×pow1/3 un-div-inv
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
17.0ms
(* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y)))))
12.0ms
(cbrt (* x (/ 1 (+ x y))))
11.0ms
(cbrt (* x (/ 1 (+ x y))))
12.0ms
(cbrt (* x (/ 1 (+ x y))))

series629.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y)))))
168.0ms
(cbrt (* x (/ 1 (+ x y))))
163.0ms
(cbrt (* x (/ 1 (+ x y))))
138.0ms
(cbrt (* x (/ 1 (+ x y))))

simplify69.0ms

Counts
84 → 84

prune189.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (+ x y))
8.4b
(cbrt (* x (/ 1 (+ x y))))
8.4b
(cbrt (* x (/ 1 (+ x y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
8×*-un-lft-identity
6×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ un-div-inv
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
5.0ms
(cbrt x)
5.0ms
(cbrt (+ x y))
11.0ms
(cbrt (* x (/ 1 (+ x y))))
11.0ms
(cbrt (* x (/ 1 (+ x y))))

series656.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt x)
142.0ms
(cbrt (+ x y))
136.0ms
(cbrt (* x (/ 1 (+ x y))))
138.0ms
(cbrt (* x (/ 1 (+ x y))))

simplify58.0ms

Counts
59 → 59

prune198.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample501.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid