Details

Time bar (total: 21.7s)

sample43.0ms

Algorithm
intervals
Results
18.0ms257×body80valid
8.0ms223×body80nan

simplify19.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
12112
26112
318512
443112
587512
6152812
7185312
8208212
9209812
10229212
11232712
12238612
13242212
14249012
15249412
done249412

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
pow1
add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
associate-*r* associate-*l* sum-log
sub-neg distribute-lft-out
associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
158.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
7.0ms
(- x (* (+ y 0.5) (log y)))
29.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
25.0ms
(* (+ y 0.5) (log y))

series621.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
58.0ms
(- x (* (+ y 0.5) (log y)))
58.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
415.0ms
(* (+ y 0.5) (log y))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01721294
14451175
214181094
done50011058

prune314.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (log (cbrt y)))
0.3b
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
12×associate-+r+
pow1
add-exp-log flip3-+ associate-*l/ add-cbrt-cube flip-+ add-log-exp
associate-*r*
associate-*r/ associate-*l* frac-add
pow1/3
associate-+l+ log-pow
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 86
Calls
4 calls:
38.0ms
(* (+ y 0.5) (log (cbrt y)))
62.0ms
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series0.0ms