Details

Time bar (total: 16.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite20.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
18.0ms
(/ x (+ y x))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ x (+ y x))

simplify3.0s

Counts
38 → 38
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
061336
1122317
2286299
3587299
41573299
done5001299

prune76.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ x (+ y x)))
0.0b
(/ x (+ y x))
0.0b
(expm1 (log1p (/ x (+ y x))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
1.0ms
(log1p (/ x (+ y x)))
20.0ms
(/ x (+ y x))
0.0ms
(expm1 (log1p (/ x (+ y x))))

series228.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(log1p (/ x (+ y x)))
56.0ms
(/ x (+ y x))
98.0ms
(expm1 (log1p (/ x (+ y x))))

simplify3.0s

Counts
66 → 66
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
082538
1144493
2309453
3613453
41597453
done5000453

prune270.0ms

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)))

rewrite79.0ms

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 expm1-log1p-u rec-exp flip3-+ 1-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 82
Calls
2 calls:
25.0ms
(/ 1 (+ y x))
49.0ms
(* x (/ 1 (+ y x)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1 (+ y x))
48.0ms
(* x (/ 1 (+ y x)))

simplify3.7s

Counts
88 → 88
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
099783
1225603
2464541
3952541
42098541
done5000541

prune204.0ms

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

rewrite142.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 188
Calls
4 calls:
103.0ms
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
13.0ms
(cbrt (/ x (+ y x)))
7.0ms
(cbrt (/ x (+ y x)))
7.0ms
(cbrt (/ x (+ y x)))

series821.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
208.0ms
(cbrt (/ x (+ y x)))
173.0ms
(cbrt (/ x (+ y x)))
211.0ms
(cbrt (/ x (+ y x)))

simplify2.9s

Counts
200 → 200
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01673130
12682901
26882813
312082673
425482653
done50002540

prune588.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes95.0ms

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
177
done77

end0.0ms

sample635.0ms

Algorithm
intervals
Results
336.0ms8000×body80valid