Details

Time bar (total: 44.5s)

sample35.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
8.0ms223×body80nan

simplify36.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (175.0ms)

IterNodesCost
01012
12112
26312
320312
447611
5103011
6172111
7240411
8273111
9278511
10302911
11327711
12351811
13382211
14417611
15422211
16424211
done424211

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(- (+ y x) (fma (log y) (+ y 0.5) z))
0.1b
(fma (log y) (+ y 0.5) z)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×add-sqr-sqrt prod-diff
10×add-cube-cbrt
add-log-exp
distribute-lft-out
fma-neg
pow1 add-exp-log expm1-log1p-u diff-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out--
sub-neg flip3-- associate--l+ sum-log flip-- associate--r+ difference-of-squares
Counts
2 → 46
Calls
2 calls:
73.0ms
(- (+ y x) (fma (log y) (+ y 0.5) z))
0.0ms
(fma (log y) (+ y 0.5) z)

series150.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(- (+ y x) (fma (log y) (+ y 0.5) z))
61.0ms
(fma (log y) (+ y 0.5) z)

simplify4.1s

Counts
52 → 52
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01031312
1242939
2781849
34611733
done5000733

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt
11×associate-+r+
10×add-log-exp
pow1 add-exp-log expm1-log1p-u fma-def fma-neg add-cbrt-cube log1p-expm1-u
sub-neg diff-log sum-log fma-udef distribute-lft-out distribute-lft-out--
+-commutative associate-+r- flip3-- flip3-+ flip-- flip-+ associate--r+ difference-of-squares
Counts
3 → 70
Calls
3 calls:
7.0ms
(- x (fma (log y) (+ y 0.5) z))
22.0ms
(+ y (- x (fma (log y) (+ y 0.5) z)))
0.0ms
(fma (log y) (+ y 0.5) z)

series212.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (fma (log y) (+ y 0.5) z))
79.0ms
(+ y (- x (fma (log y) (+ y 0.5) z)))
63.0ms
(fma (log y) (+ y 0.5) z)

simplify3.1s

Counts
79 → 79
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01341562
13211151
2899990
34488886
done5000886

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))
0.5b
(cbrt (fma (log y) (+ y 0.5) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms
(cbrt (fma (log y) (+ y 0.5) z))
2.0ms
(cbrt (fma (log y) (+ y 0.5) z))
2.0ms
(cbrt (fma (log y) (+ y 0.5) z))

series60.0ms