Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite19.0ms

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:
17.0ms
(/ x (+ y x))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ x (+ y x))

simplify48.0ms

Counts
36 → 36

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:
18.0ms
(/ 1 (+ y x))
48.0ms
(* x (/ 1 (+ y x)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (+ y x))
52.0ms
(* x (/ 1 (+ y x)))

simplify36.0ms

Counts
84 → 84

prune136.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

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:
16.0ms
(* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x)))))
11.0ms
(cbrt (* x (/ 1 (+ y x))))
11.0ms
(cbrt (* x (/ 1 (+ y x))))
11.0ms
(cbrt (* x (/ 1 (+ y x))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x)))))
177.0ms
(cbrt (* x (/ 1 (+ y x))))
149.0ms
(cbrt (* x (/ 1 (+ y x))))
140.0ms
(cbrt (* x (/ 1 (+ y x))))

simplify53.0ms

Counts
84 → 84

prune230.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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:
1.0ms
(cbrt x)
6.0ms
(cbrt (+ y x))
16.0ms
(cbrt (* x (/ 1 (+ y x))))
16.0ms
(cbrt (* x (/ 1 (+ y x))))

series793.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt x)
231.0ms
(cbrt (+ y x))
152.0ms
(cbrt (* x (/ 1 (+ y x))))
161.0ms
(cbrt (* x (/ 1 (+ y x))))

simplify80.0ms

Counts
59 → 59

prune245.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes55.0ms

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

sample433.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid