Details

Time bar (total: 18.0s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite13.0ms

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:
12.0ms
(/ x (+ x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ x (+ x y))

simplify4.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
059324
1119305
2270287
3550287
41428287
54626287
done5000287

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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:
23.0ms
(/ 1 (+ x y))
52.0ms
(* x (/ 1 (+ x y)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (+ x y))
74.0ms
(* x (/ 1 (+ x y)))

simplify3.9s

Counts
84 → 84
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
095755
1220579
2449517
3905517
41928517
done5001517

prune125.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ 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 → 180
Calls
4 calls:
94.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
10.0ms
(cbrt (/ x (+ x y)))
10.0ms
(cbrt (/ x (+ x y)))
6.0ms
(cbrt (/ x (+ x y)))

series778.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
197.0ms
(cbrt (/ x (+ x y)))
167.0ms
(cbrt (/ x (+ x y)))
211.0ms
(cbrt (/ x (+ x y)))

simplify2.8s

Counts
192 → 192
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01633060
12602837
26712749
311612617
424462597
done50012486

prune692.0ms

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 (+ x y)))
8.4b
(cbrt (/ x (+ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
36×*-un-lft-identity
24×times-frac
22×add-sqr-sqrt add-cube-cbrt
7×distribute-lft-out
4×pow1 add-exp-log cbrt-div pow1/3 associate-/r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×div-inv
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt (+ x y))
6.0ms
(cbrt (/ x (+ x y)))
6.0ms
(cbrt (/ x (+ x y)))

series858.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt x)
211.0ms
(cbrt (+ x y))
185.0ms
(cbrt (/ x (+ x y)))
194.0ms
(cbrt (/ x (+ x y)))

simplify2.7s

Counts
91 → 91
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0124946
1216899
2441845
31020831
43343823
done5000823

prune322.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

end0.0ms

sample626.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid