Details

Time bar (total: 27.0s)

sample86.0ms

Algorithm
intervals
Results
31.0ms49×body1280valid
15.0ms44×body640valid
9.0ms153×body80valid
7.0ms32×body320valid
5.0ms104×body80nan
4.0ms26×body160valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08302
115302
222302
341302
491302
5216302
6545302
72012302
done5005302

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* x (log (/ x (+ x y)))))
0.0b
(/ x (+ x y))
0.1b
(* x (log (/ x (+ x y))))
8.5b
(log (/ x (+ x y)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
90×log-prod
72×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
19×distribute-lft-out
12×associate-/r/
11×add-exp-log
8×pow1 add-cbrt-cube
6×flip3-+ flip-+ div-inv add-log-exp
4×expm1-log1p-u associate-/r* associate-*r* log1p-expm1-u
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv log-div exp-prod clear-num frac-2neg exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr rem-exp-log
Counts
4 → 171
Calls
4 calls:
24.0ms
(exp (* x (log (/ x (+ x y)))))
13.0ms
(/ x (+ x y))
16.0ms
(* x (log (/ x (+ x y))))
5.0ms
(log (/ x (+ x y)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(exp (* x (log (/ x (+ x y)))))
70.0ms
(/ x (+ x y))
146.0ms
(* x (log (/ x (+ x y))))
55.0ms
(log (/ x (+ x y)))

simplify3.5s

Counts
183 → 183
Iterations

Useful iterations: done (3.5s)

IterNodesCost
025670063
155964206
2123663144
3439463009
done500062985

prune980.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow (exp x) (log (/ x (+ x y)))) x)
0.0b
(/ x (+ x y))
0.0b
(pow (exp x) (log (/ x (+ x y))))
8.5b
(log (/ x (+ x y)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
142×*-un-lft-identity
108×log-prod
98×add-sqr-sqrt add-cube-cbrt
90×unpow-prod-up
28×associate-/l*
22×distribute-lft-out
15×unpow-prod-down
14×associate-/r/
13×add-exp-log
8×add-cbrt-cube div-inv
7×pow1 associate-/r* flip3-+ flip-+
5×div-exp sqr-pow
4×expm1-log1p-u pow-unpow pow-pow log1p-expm1-u add-log-exp
3×log-div exp-prod
2×pow-to-exp cbrt-undiv clear-num frac-2neg rem-log-exp pow-exp log-pow pow-sub
1×associate-/l/
Counts
4 → 228
Calls
4 calls:
27.0ms
(/ (pow (exp x) (log (/ x (+ x y)))) x)
17.0ms
(/ x (+ x y))
17.0ms
(pow (exp x) (log (/ x (+ x y))))
10.0ms
(log (/ x (+ x y)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(/ (pow (exp x) (log (/ x (+ x y)))) x)
60.0ms
(/ x (+ x y))
179.0ms
(pow (exp x) (log (/ x (+ x y))))
75.0ms
(log (/ x (+ x y)))

simplify2.8s

Counts
240 → 240
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0339157606
1736147482
22045143941
done5008143711

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (log (/ x (+ x y))))
8.5b
(log (/ x (+ x y)))
8.5b
(log (/ x (+ x y)))
8.5b
(log (/ x (+ x y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
90×log-prod
76×*-un-lft-identity
60×times-frac
48×add-sqr-sqrt
46×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
15×add-exp-log distribute-lft-out
10×pow1 associate-/r/
6×add-cbrt-cube rem-log-exp
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u associate-*r* log-pow log1p-expm1-u add-log-exp
3×log-div div-exp associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 150
Calls
4 calls:
17.0ms
(* x (log (/ x (+ x y))))
8.0ms
(log (/ x (+ x y)))
10.0ms
(log (/ x (+ x y)))
16.0ms
(log (/ x (+ x y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* x (log (/ x (+ x y))))
85.0ms
(log (/ x (+ x y)))
64.0ms
(log (/ x (+ x y)))
86.0ms
(log (/ x (+ x y)))

simplify4.6s

Counts
162 → 162
Iterations

Useful iterations: 4 (3.0s)

IterNodesCost
015755343
127950656
251250245
3152050205
4444450010
done502050010

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
12.0ms
(/ (exp (- y)) x)

series23.0ms

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

simplify2.9s

Counts
34 → 34
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0669139
11278764
23218550
38928470
428648470
done50278430

prune149.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

91.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.8b

bsearch172.0ms

Steps
ItersRangePoint
10
0.023031155523784402
166131308.15705827
5.955847209664488
9
-1.2045350215923762e+123
-1.4132096724829227e+117
-1.8256037461802633e+117

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
017884
121884
done21884

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.6s1533×body1280valid
570.0ms1431×body640valid
429.0ms4796×body80valid
363.0ms903×body320valid
221.0ms3019×body80nan
70.0ms440×body160valid