Details

Time bar (total: 8.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

prune3.0ms

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) (+ y 1.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
63.0ms
(/ (+ x y) (+ y 1.0))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (+ y 1.0))

simplify713.0ms

Counts
43 → 43
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
078536
1197511
2760479
done5000477

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.1b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 152
Calls
2 calls:
29.0ms
(/ (+ y 1.0) (+ x y))
45.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ (+ y 1.0) (+ x y))
64.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify2.1s

Counts
158 → 158
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01932548
15082153
230092014
done50001904

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
68.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))

series811.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
201.0ms
(cbrt (+ x y))
172.0ms
(cbrt (+ x y))
201.0ms
(cbrt (+ x y))

simplify692.0ms

Counts
107 → 107
Iterations

Useful iterations: done (689.0ms)

IterNodesCost
01161266
12781147
210681089
done50011069

prune231.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.1b
(pow (/ (+ x y) (+ y 1.0)) 3)
17.2b
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
135×*-un-lft-identity
80×times-frac
51×add-sqr-sqrt add-cube-cbrt
50×cbrt-prod
44×unpow-prod-down cube-prod
42×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-+ flip-+
5×div-inv
4×pow1 associate-/r* associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 164
Calls
3 calls:
42.0ms
(/ (+ x y) (+ y 1.0))
26.0ms
(pow (/ (+ x y) (+ y 1.0)) 3)
21.0ms
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

series216.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (+ x y) (+ y 1.0))
95.0ms
(pow (/ (+ x y) (+ y 1.0)) 3)
74.0ms
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

simplify2.0s

Counts
173 → 173
Iterations

Useful iterations: 2 (550.0ms)

IterNodesCost
01912988
16582478
239152269
done50012269

prune330.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample562.0ms

Algorithm
intervals
Results
253.0ms7999×body80valid
0.0ms1×body1280valid