Details

Time bar (total: 7.1s)

sample43.0ms

Algorithm
intervals
Results
21.0ms375×body80valid

simplify251.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
01315
12615
26712
313611
418010
519110
619410
done19410

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
4.7b
(* (* a z) b)

rewrite219.0ms

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:
119.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
39.0ms
(+ (+ x (* y z)) (* t a))
12.0ms
(+ x (* y z))
46.0ms
(* (* a z) b)

series401.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
126.0ms
(+ (+ x (* y z)) (* t a))
35.0ms
(+ x (* y z))
38.0ms
(* (* a z) b)

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0123930
1353781
21526697
done5002662

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma z y (fma (fma z b t) a x))
3.6b
(fma (fma z b t) a x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma z y (fma (fma z b t) a x))
0.0ms
(fma (fma z b t) a x)

series247.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(fma z y (fma (fma z b t) a x))
109.0ms
(fma (fma z b t) a x)

simplify2.3s

Counts
26 → 26
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
037287
160281
2132239
3512237
43583237
done5000237

prune127.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

3.6b
(fma a (fma z b t) (* z y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma a (fma z b t) (* z y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(fma a (fma z b t) (* z y))

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
024153
140149
281127
3306127
41790127
done5000127

prune50.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* a z) b)
4.7b
(* (* a z) b)
11.8b
(sqrt (* (* a z) b))
11.8b
(sqrt (* (* a z) b))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
14×add-exp-log add-cbrt-cube
12×pow-prod-down
add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*r* prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/2 associate-*l* sqrt-prod *-commutative
Counts
4 → 68
Calls
4 calls:
18.0ms
(* (* a z) b)
45.0ms
(* (* a z) b)
17.0ms
(sqrt (* (* a z) b))
14.0ms
(sqrt (* (* a z) b))

series13.0ms