Details

Time bar (total: 14.7s)

sample113.0ms

Algorithm
intervals
Results
39.0ms45×body1280valid
16.0ms31×body640valid
14.0ms165×body80valid
9.0ms26×body320valid
7.0ms107×body80nan
4.0ms20×body160valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
71916
6531
5212
489
341
222
115
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize23.0ms

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)))

rewrite117.0ms

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
pow1
associate-/r*
associate-*r* add-log-exp
div-exp associate-*l*
cbrt-undiv clear-num frac-2neg rem-log-exp log-pow
log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 288
Calls
4 calls:
61.0ms
(/ (exp (* x (log (/ x (+ x y))))) x)
13.0ms
(/ x (+ x y))
19.0ms
(* x (log (/ x (+ x y))))
5.0ms
(log (/ x (+ x y)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (exp (* x (log (/ x (+ x y))))) x)
45.0ms
(/ x (+ x y))
82.0ms
(* x (log (/ x (+ x y))))
66.0ms
(log (/ x (+ x y)))

simplify1.7s

Counts
300 → 300
Iterations
IterNodes
done5002
21935
1869
0470

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

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

localize44.0ms

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)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×log-prod
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
cbrt-prod
add-exp-log
pow1
add-cbrt-cube add-log-exp
pow1/3 distribute-lft-out
rem-log-exp associate-/r/
log-div flip3-+ div-exp log-pow flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(log (/ x (+ x y)))

series809.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt x)
221.0ms
(cbrt x)
255.0ms
(cbrt x)
76.0ms
(log (/ x (+ x y)))

simplify2.0s

Counts
74 → 74
Iterations
IterNodes
done5000
43741
3962
2381
1195
0101

prune383.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(/ (exp (- y)) x)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (exp (- y)) x)

simplify2.0s

Counts
32 → 32
Iterations
IterNodes
done5001
43260
3923
2329
1125
064

prune135.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

95.7% (0.4b remaining)

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

bsearch86.0ms

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

simplify4.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.0s1539×body1280valid
655.0ms1490×body640valid
641.0ms3167×body80nan
499.0ms4875×body80valid
239.0ms821×body320valid
95.0ms415×body160valid