Details

Time bar (total: 10.5s)

sample50.0ms

Algorithm
intervals
Results
12.0ms28×body1280valid
10.0ms206×body80valid
9.0ms33×body640valid
3.0ms17×body320valid
3.0ms81×body80nan
1.0ms12×body160valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01013
11813
22711
35411
410511
524511
657911
7168111
done500111

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
8.4b
(log (/ y (+ z y)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
48×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
pow1 associate-/r/ add-cbrt-cube
add-log-exp
flip3-+ flip-+
expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
fma-def associate-*l* associate-/l*
div-exp rem-log-exp log-pow
cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
66.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
6.0ms
(/ y (+ z y))
14.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
50.0ms
(/ y (+ z y))
91.0ms
(* y (log (/ y (+ z y))))
55.0ms
(log (/ y (+ z y)))

simplify1.4s

Counts
152 → 152
Iterations

Useful iterations: 3 (577.0ms)

IterNodesCost
02071965
13941858
28541707
322211662
done50001662

prune390.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.9b
(log (/ (cbrt y) (cbrt (+ z y))))
3.9b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
pow1
expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 148
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt y)
201.0ms
(cbrt y)
78.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
84.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.4s

Counts
160 → 160
Iterations

Useful iterations: 4 (702.0ms)

IterNodesCost
01772306
13152190
25772060
312631986
427031982
done50001982

prune604.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×fma-def
10×*-un-lft-identity
times-frac
add-sqr-sqrt add-cube-cbrt
add-log-exp
pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u div-inv distribute-lft-out
Counts
1 → 27
Calls
1 calls:
20.0ms
(+ (/ (exp (- z)) y) x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ (/ (exp (- z)) y) x)

simplify2.0s

Counts
30 → 30
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
046198
1116193
2261192
3685171
42619171
done5001171

prune88.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

-84.7% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.1b

bsearch47.0ms

Steps
ItersRangePoint
8
4.863985370127422e-140
3.751532506820157e-137
3.711281227157836e-137

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02237
12837
done2837

end0.0ms

sample1.4s

Algorithm
intervals
Results
352.0ms772×body1280valid
311.0ms6537×body80valid
249.0ms942×body640valid
98.0ms3056×body80nan
93.0ms552×body320valid
36.0ms330×body160valid