Details

Time bar (total: 16.6s)

sample45.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
11.0ms282×body80nan

simplify404.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1148
2188
3258
4458
5728
6978
71178
81428
91828
102458
112758
122888
done2888

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
43×add-sqr-sqrt
41×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*
expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
rem-log-exp log-pow
sub-neg log-div flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
21.0ms
(- (* x (log (/ x y))) z)
16.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series568.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(- (* x (log (/ x y))) z)
422.0ms
(* x (log (/ x y)))
49.0ms
(log (/ x y))

simplify2.4s

Counts
126 → 126
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02151393
14121296
27811218
324671187
done50011181

prune511.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt x)
275.0ms
(cbrt x)
262.0ms
(cbrt y)
307.0ms
(cbrt y)

simplify2.0s

Counts
64 → 64
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune384.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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))))

rewrite27.0ms

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
expm1-log1p-u div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
log-div times-frac log-pow div-inv
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt y)
1.0ms
(cbrt y)
20.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt y)
271.0ms
(cbrt y)
347.0ms
(cbrt y)
133.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify3.1s

Counts
72 → 72
Iterations

Useful iterations: done (3.1s)

IterNodesCost
075539
1139515
2290410
3760376
42733373
done5001366

prune432.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))))

rewrite44.0ms

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
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
1-exp
log-div times-frac log-pow div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
40.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (* 1 (cbrt y)) (cbrt y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
307.0ms
(cbrt y)
278.0ms
(cbrt y)
303.0ms
(cbrt y)
132.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (* 1 (cbrt y)) (cbrt y))))

simplify2.8s

Counts
76 → 76
Iterations

Useful iterations: done (2.8s)

IterNodesCost
079583
1149515
2331418
3897377
42924373
done5000370

prune407.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes167.0ms

bsearch3.0ms