Details

Time bar (total: 9.3s)

sample53.0ms

Algorithm
intervals
Results
11.0ms34×body640valid
10.0ms24×body1280valid
9.0ms208×body80valid
3.0ms103×body80nan
2.0ms15×body320valid
1.0ms7×body160valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01013
11813
22711
35211
411011
524911
659011
7185511
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

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))))
10.8b
(log (/ y (+ z y)))

rewrite126.0ms

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
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
3×fma-def associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×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:
81.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
10.0ms
(/ y (+ z y))
22.0ms
(* y (log (/ y (+ z y))))
7.0ms
(log (/ y (+ z y)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
40.0ms
(/ y (+ z y))
80.0ms
(* y (log (/ y (+ z y))))
53.0ms
(log (/ y (+ z y)))

simplify1.1s

Counts
152 → 152
Iterations

Useful iterations: 3 (595.0ms)

IterNodesCost
02071965
13961858
29151711
324001662
done50011662

prune333.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.8b
(log (/ (cbrt y) (cbrt (+ z y))))
3.8b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite29.0ms

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
6×pow1
4×expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
174.0ms
(cbrt y)
77.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.5s

Counts
160 → 160
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01772306
13202146
25782060
311281986
424931982
done50021976

prune544.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×times-frac
17×add-sqr-sqrt add-cube-cbrt
13×fma-def
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u div-inv associate-/l/
1×cbrt-undiv +-commutative neg-sub0 exp-neg frac-2neg flip3-+ exp-diff div-exp clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 58
Calls
2 calls:
30.0ms
(+ (/ (exp (- z)) y) x)
12.0ms
(/ (exp (- z)) y)

series62.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (/ (exp (- z)) y) x)
23.0ms
(/ (exp (- z)) y)

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (260.0ms)

IterNodesCost
091509
1188484
2475452
31207449
done5000449

prune141.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01526
12026
done2026

end0.0ms

sample1.5s

Algorithm
intervals
Results
322.0ms755×body1280valid
298.0ms6542×body80valid
247.0ms983×body640valid
95.0ms3056×body80nan
90.0ms553×body320valid
31.0ms311×body160valid