Details

Time bar (total: 13.1s)

sample35.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms282×body80nan

simplify258.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1138
2168
3238
4418
5608
6698
7818
81028
91368
101558
111728
121788
done1788

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
17.5b
(log (/ x y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
add-exp-log
pow1
add-cbrt-cube div-inv add-log-exp
associate-*r*
associate-*l*
rem-log-exp log-pow
sub-neg log-div flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 107
Calls
3 calls:
15.0ms
(- (* x (log (/ x y))) z)
18.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series296.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(- (* x (log (/ x y))) z)
94.0ms
(* x (log (/ x y)))
69.0ms
(log (/ x y))

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: 3 (540.0ms)

IterNodesCost
01921277
13411212
26541146
318461116
done50021116

prune431.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt x)
262.0ms
(cbrt x)
282.0ms
(cbrt y)
284.0ms
(cbrt y)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune368.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.4b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 log-prod rem-log-exp
div-exp prod-exp add-cbrt-cube add-log-exp
pow1/3
log-div times-frac log-pow div-inv
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series940.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt y)
275.0ms
(cbrt y)
265.0ms
(cbrt y)
148.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.0s

Counts
64 → 64
Iterations

Useful iterations: done (2.0s)

IterNodesCost
071495
1132471
2280370
3728340
42589337
done5001330

prune319.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.4b
(log (/ (* (cbrt x) (cbrt x)) (* (* 1 (cbrt y)) (cbrt y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
14×prod-exp
cbrt-prod rem-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
pow1 log-prod
add-cbrt-cube add-log-exp
pow1/3
1-exp
log-div times-frac log-pow div-inv
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
23.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (* 1 (cbrt y)) (cbrt y))))

series840.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt y)
237.0ms
(cbrt y)
243.0ms
(cbrt y)
130.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (* 1 (cbrt y)) (cbrt y))))

simplify2.5s

Counts
68 → 68
Iterations

Useful iterations: done (2.5s)

IterNodesCost
075535
1142471
2321378
3866341
42815337
done5000330

prune412.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes4.0ms