Details

Time bar (total: 15.5s)

sample124.0ms

Algorithm
intervals
Results
44.0ms53×body1280valid
19.0ms37×body640valid
15.0ms161×body80valid
8.0ms26×body320valid
7.0ms104×body80nan
4.0ms19×body160valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done5001
61961
5488
4149
352
224
115
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ y x)) x) x)
0.0b
(/ x (+ y x))
5.7b
(pow (/ x (+ y x)) x)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
associate-/r* add-cbrt-cube div-exp div-inv
flip3-+ flip-+
sqr-pow
pow1 pow-exp
pow-unpow add-log-exp
pow-to-exp cbrt-undiv clear-num frac-2neg
pow-pow
Counts
3 → 172
Calls
3 calls:
45.0ms
(/ (pow (/ x (+ y x)) x) x)
13.0ms
(/ x (+ y x))
14.0ms
(pow (/ x (+ y x)) x)

series591.0ms

Counts
3 → 9
Calls
3 calls:
174.0ms
(/ (pow (/ x (+ y x)) x) x)
52.0ms
(/ x (+ y x))
365.0ms
(pow (/ x (+ y x)) x)

simplify1.3s

Counts
181 → 181
Iterations
IterNodes
done5000
22816
1649
0276

prune951.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (+ y x))
0.6b
(cbrt (+ y x))
0.6b
(cbrt (+ y x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
cbrt-div
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
flip3-+ flip-+ distribute-lft-out
Counts
4 → 53
Calls
4 calls:
4.0ms
(cbrt x)
4.0ms
(cbrt (+ y x))
5.0ms
(cbrt (+ y x))
6.0ms
(cbrt (+ y x))

series900.0ms

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt x)
176.0ms
(cbrt (+ y x))
212.0ms
(cbrt (+ y x))
189.0ms
(cbrt (+ y x))

simplify766.0ms

Counts
65 → 65
Iterations
IterNodes
done5001
31736
2474
1153
073

prune908.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
5.8b
(cbrt (/ x (+ y x)))
5.8b
(cbrt (/ x (+ y x)))
5.8b
(cbrt (/ x (+ y x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
47×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
distribute-lft-out
associate-/r/
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
cbrt-div flip3-+ flip-+ div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt x)
9.0ms
(cbrt (/ x (+ y x)))
9.0ms
(cbrt (/ x (+ y x)))
9.0ms
(cbrt (/ x (+ y x)))

series741.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt x)
168.0ms
(cbrt (/ x (+ y x)))
176.0ms
(cbrt (/ x (+ y x)))
147.0ms
(cbrt (/ x (+ y x)))

simplify758.0ms

Counts
104 → 104
Iterations
IterNodes
done5000
31253
2355
1163
097

prune700.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (- y)) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube associate-/l*
add-exp-log associate-/l/
neg-sub0 exp-neg pow1 cbrt-undiv clear-num frac-2neg exp-diff div-exp div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
22.0ms
(/ (exp (- y)) x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (exp (- y)) x)

simplify2.5s

Counts
32 → 32
Iterations
IterNodes
done5002
33577
2483
1125
064

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

regimes132.0ms

Accuracy

96.6% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 6.5b

bsearch155.0ms

Steps
ItersRangePoint
6
1698412.1750747235
9645967.64350026
1719139.2202338078
7
-3.1422350234624783e+87
-6.357458366051419e+85
-6.49239871119939e+85

simplify6.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.4s1487×body1280valid
575.0ms1478×body640valid
418.0ms4880×body80valid
259.0ms3085×body80nan
216.0ms836×body320valid
117.0ms459×body160valid