Details

Time bar (total: 16.7s)

sample14.0ms

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 (+ y x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
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:
11.0ms
(/ x (+ y x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ x (+ y x))

simplify3.1s

Counts
38 → 38
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
061336
1122317
2286299
3587299
41573299
done5001299

prune101.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
expm1-log1p-u associate-/r* distribute-lft-out
pow1 log1p-expm1-u associate-/l* add-log-exp
associate-/r/
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:
0.0ms
(log1p (/ x (+ y x)))
12.0ms
(/ x (+ y x))
0.0ms
(expm1 (log1p (/ x (+ y x))))

series228.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(log1p (/ x (+ y x)))
55.0ms
(/ x (+ y x))
93.0ms
(expm1 (log1p (/ x (+ y x))))

simplify3.7s

Counts
66 → 66
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
082538
1144493
2309453
3613453
41597453
done5000453

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y x))
0.2b
(* x (/ 1 (+ y x)))

rewrite60.0ms

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
add-cbrt-cube
distribute-lft-out
pow1
div-exp prod-exp associate-/r* associate-/r/
associate-*l* associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp flip3-+ 1-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 82
Calls
2 calls:
12.0ms
(/ 1 (+ y x))
45.0ms
(* x (/ 1 (+ y x)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ 1 (+ y x))
60.0ms
(* x (/ 1 (+ y x)))

simplify3.6s

Counts
88 → 88
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
099783
1225603
2464541
3952541
42098541
done5000541

prune157.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.3b
(/ 1 (/ (+ x y) x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
add-cbrt-cube
div-exp
associate-/l*
div-inv
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
26.0ms
(/ (+ x y) x)
27.0ms
(/ 1 (/ (+ x y) x))

series102.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (+ x y) x)
62.0ms
(/ 1 (/ (+ x y) x))

simplify4.3s

Counts
131 → 131
Iterations

Useful iterations: done (4.3s)

IterNodesCost
01601662
13391374
26641203
313771179
426221179
done50001178

prune212.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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

sample589.0ms

Algorithm
intervals
Results
268.0ms8000×body80valid