Details

Time bar (total: 21.2s)

sample86.0ms

Algorithm
intervals
Results
22.0ms195×body80valid
18.0ms27×body1280valid
14.0ms35×body640valid
6.0ms101×body80nan
5.0ms17×body320valid
2.0ms12×body160valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01013
11813
22711
35211
411011
524911
659011
7185511
done500011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize21.0ms

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))))
9.3b
(log (/ y (+ z y)))

rewrite171.0ms

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:
113.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms
(/ y (+ z y))
29.0ms
(* y (log (/ y (+ z y))))
7.0ms
(log (/ y (+ z y)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
68.0ms
(/ y (+ z y))
103.0ms
(* y (log (/ y (+ z y))))
78.0ms
(log (/ y (+ z y)))

simplify1.9s

Counts
152 → 152
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02071965
13961858
29151711
324001662
done50011662

prune542.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.3b
(log (/ (cbrt y) (cbrt (+ z y))))
4.3b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite55.0ms

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:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
21.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
18.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series822.0ms

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt y)
279.0ms
(cbrt y)
117.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
104.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts
160 → 160
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01772306
13202146
25782060
311281986
424931982
done50021976

prune876.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
9.3b
(log (/ y (+ z y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×log-prod
15×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×rem-log-exp associate-/r/
1×log-div flip3-+ div-exp log-pow flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(log (/ y (+ z y)))

series946.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
272.0ms
(cbrt x)
316.0ms
(cbrt x)
89.0ms
(log (/ y (+ z y)))

simplify3.5s

Counts
82 → 82
Iterations

Useful iterations: 5 (1.9s)

IterNodesCost
0109590
1202555
2375520
3706498
41445497
53452496
done5000496

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
6.4b
(pow (/ y (+ z y)) y)
6.4b
(pow (/ y (+ z y)) y)
6.4b
(pow (/ y (+ z y)) y)

rewrite841.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
54×unpow-prod-down
47×add-sqr-sqrt
39×add-cube-cbrt
36×times-frac
24×cbrt-prod
15×add-exp-log distribute-lft-out
14×pow1
12×cbrt-div
9×pow-unpow flip3-+ swap-sqr flip-+
7×associate-*r* associate-*l*
6×pow1/3 pow-exp associate-/r/
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp pow-pow div-exp div-inv sqr-pow
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 160
Calls
4 calls:
761.0ms
(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
14.0ms
(pow (/ y (+ z y)) y)
34.0ms
(pow (/ y (+ z y)) y)
26.0ms
(pow (/ y (+ z y)) y)

series1.5s

Counts
4 → 12
Calls
4 calls:
423.0ms
(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
370.0ms
(pow (/ y (+ z y)) y)
340.0ms
(pow (/ y (+ z y)) y)
370.0ms
(pow (/ y (+ z y)) y)

simplify3.7s

Counts
172 → 172
Iterations

Useful iterations: done (3.7s)

IterNodesCost
02163568
15023253
212823062
338872782
done50002779

prune861.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes5.0ms