Details

Time bar (total: 2.1s)

sample31.0ms

Algorithm
intervals
Results
13.0ms362×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (36.0ms)

IterNodesCost
01315
12615
26512
312911
417110
518010
618310
done18310

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
1.8b
(* (* a z) b)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
11.0ms
(+ (+ x (* y z)) (* t a))
49.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
7.0ms
(* (* a z) b)

series209.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (+ x (* y z)) (* t a))
96.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms
(+ x (* y z))
30.0ms
(* (* a z) b)

simplify824.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
0123930
1365781
21593697
done5000697

prune282.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (fma a t (fma z y x)) (* (* a z) b))
1.8b
(* (* a z) b)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative associate-+l+ flip3-+ associate-*l* sum-log *-commutative flip-+ fma-udef
Counts
2 → 37
Calls
2 calls:
3.0ms
(+ (fma a t (fma z y x)) (* (* a z) b))
7.0ms
(* (* a z) b)

series148.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(+ (fma a t (fma z y x)) (* (* a z) b))
30.0ms
(* (* a z) b)

simplify418.0ms

Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
075487
1193459
2797400