Details

Time bar (total: 20.0s)

sample80.0ms

Algorithm
intervals
Results
16.0ms25×body1280valid
15.0ms209×body80valid
12.0ms30×body640valid
7.0ms25×body320valid
5.0ms86×body80nan
2.0ms13×body160valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01013
11813
22711
35211
410811
524411
657711
7185011
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize17.0ms

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))))
9.6b
(log (/ y (+ z y)))

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×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×associate-*r* associate-/r* div-inv
3×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 → 129
Calls
4 calls:
397.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
12.0ms
(/ y (+ z y))
20.0ms
(* y (log (/ y (+ z y))))
6.0ms
(log (/ y (+ z y)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
59.0ms
(/ y (+ z y))
99.0ms
(* y (log (/ y (+ z y))))
64.0ms
(log (/ y (+ z y)))

simplify1.3s

Counts
141 → 141
Iterations

Useful iterations: 3 (647.0ms)

IterNodesCost
01991893
13821790
28711647
322581598
done50021598

prune375.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
2.3b
(log (/ (cbrt y) (cbrt (+ z y))))
2.3b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
96×log-prod
88×*-un-lft-identity
84×times-frac
60×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 146
Calls
4 calls:
4.0ms
(cbrt (+ z y))
5.0ms
(cbrt (+ z y))
15.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (+ z y))
143.0ms
(cbrt (+ z y))
78.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
82.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts
158 → 158
Iterations

Useful iterations: 4 (920.0ms)

IterNodesCost
01892450
13572282
26802192
313912118
433602110
done50002110

prune704.0ms

Pruning

3 alts after pruning (2 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)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1 associate-/l/
1×cbrt-undiv +-commutative neg-sub0 exp-neg frac-2neg flip3-+ exp-diff div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
2 → 41
Calls
2 calls:
27.0ms
(+ (/ (exp (- z)) y) x)
16.0ms
(/ (exp (- z)) y)

series70.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (/ (exp (- z)) y) x)
23.0ms
(/ (exp (- z)) y)

simplify4.0s

Counts
47 → 47
Iterations

Useful iterations: 3 (298.0ms)

IterNodesCost
087481
1181457
2447427
31121424
44686424
done5001424

prune129.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b
(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
7.5b
(pow (/ y (+ z y)) y)
7.5b
(pow (/ y (+ z y)) (* 2 y))
28.8b
(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

rewrite487.0ms

Algorithm
rewrite-expression-head
Rules
221×add-sqr-sqrt
196×times-frac
100×difference-of-squares
76×unpow-prod-down
70×*-un-lft-identity
40×add-cube-cbrt
22×sqr-pow
12×add-exp-log
9×associate-/r* distribute-lft-out--
8×associate-/l*
6×pow1 associate-/r/ add-cbrt-cube distribute-lft-out add-log-exp
4×pow-unpow pow-exp
3×flip3-- div-exp flip-- div-inv
2×pow-to-exp pow-pow flip3-+ flip-+ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 187
Calls
4 calls:
58.0ms
(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
22.0ms
(pow (/ y (+ z y)) y)
14.0ms
(pow (/ y (+ z y)) (* 2 y))
381.0ms
(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
99.0ms
(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
320.0ms
(pow (/ y (+ z y)) y)
316.0ms
(pow (/ y (+ z y)) (* 2 y))
379.0ms
(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

simplify2.0s

Counts
199 → 199
Iterations

Useful iterations: done (1.9s)

IterNodesCost
04217160
110347013
226496679
done50016283

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01628
12228
done2228

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.1s6503×body80valid
611.0ms812×body1280valid
529.0ms926×body640valid
243.0ms2954×body80nan
208.0ms603×body320valid
57.0ms301×body160valid