Details

Time bar (total: 16.4s)

sample96.0ms

Algorithm
intervals
Results
31.0ms45×body1280valid
15.0ms26×body320valid
12.0ms31×body640valid
12.0ms165×body80valid
6.0ms107×body80nan
3.0ms20×body160valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5005
72012
6545
5216
491
341
222
115
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b
(/ x (+ x y))
0.1b
(* x (log (/ x (+ x y))))
10.3b
(log (/ x (+ x y)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
221×*-un-lft-identity
198×log-prod
149×add-sqr-sqrt
147×add-cube-cbrt
144×exp-sum
90×distribute-rgt-in distribute-lft-in
42×associate-/l*
37×distribute-lft-out
24×associate-/r/
13×div-inv
12×flip3-+ add-exp-log flip-+
10×add-cbrt-cube
8×pow1
7×associate-/r*
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×div-exp associate-*l*
2×cbrt-undiv clear-num frac-2neg rem-log-exp log-pow
1×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 296
Calls
4 calls:
74.0ms
(/ (exp (* x (log (/ x (+ x y))))) x)
18.0ms
(/ x (+ x y))
33.0ms
(* x (log (/ x (+ x y))))
5.0ms
(log (/ x (+ x y)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(/ (exp (* x (log (/ x (+ x y))))) x)
55.0ms
(/ x (+ x y))
126.0ms
(* x (log (/ x (+ x y))))
75.0ms
(log (/ x (+ x y)))

simplify2.2s

Counts
308 → 308
Iterations
IterNodes
done5005
22052
1887
0478

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune8.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.3b
(log (/ x (+ x y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×log-prod
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×rem-log-exp associate-/r/
1×log-div flip3-+ div-exp log-pow flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(log (/ x (+ x y)))

series811.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt x)
223.0ms
(cbrt x)
255.0ms
(cbrt x)
63.0ms
(log (/ x (+ x y)))

simplify2.2s

Counts
82 → 82
Iterations
IterNodes
done5027
43792
31040
2394
1202
0105

prune543.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log associate-/l/
1×neg-sub0 exp-neg expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg exp-diff div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
14.0ms
(/ (exp (- y)) x)

series34.0ms

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

simplify2.0s

Counts
34 → 34
Iterations
IterNodes
done5027
42864
3892
2321
1127
066

prune113.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

95.7% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 9.7b

bsearch90.0ms

Steps
ItersRangePoint
9
1.468933426912413e-07
44.35744796693956
0.39878302218015954
6
-3.778620241827087e+19
-3.5029054378396964e+18
-1.8649979204356907e+19

simplify2.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.3s1539×body1280valid
763.0ms4875×body80valid
664.0ms1490×body640valid
219.0ms821×body320valid
199.0ms3167×body80nan
71.0ms415×body160valid