Details

Time bar (total: 12.6s)

sample61.0ms

Algorithm
intervals
Results
40.0ms366×body80valid

simplify135.0ms

Counts
1 → 1
Iterations
IterNodes
done195
5195
4184
3133
265
126
013

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.6b
(* (* a z) b)

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 fma-def add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u insert-posit16 log1p-expm1-u
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 77
Calls
4 calls:
11.0ms
(+ x (* y z))
43.0ms
(+ (+ x (* y z)) (* t a))
113.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
20.0ms
(* (* a z) b)

series320.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ x (* y z))
69.0ms
(+ (+ x (* y z)) (* t a))
144.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
53.0ms
(* (* a z) b)

simplify1.6s

Counts
89 → 89
Iterations
IterNodes
done5006
21724
1366
0127

prune586.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma z (fma a b y) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma z (fma a b y) x)

series148.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(fma z (fma a b y) x)

simplify1.5s

Counts
14 → 14
Iterations
IterNodes
done5004
41440
3296
276
138
023

prune96.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* (fma z b t) a))
2.7b
(* (fma z b t) a)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
fma-def
pow1 add-cbrt-cube add-exp-log
sum-log
expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
+-commutative flip3-+ flip-+
associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 57
Calls
3 calls:
9.0ms
(+ x (* y z))
33.0ms
(+ (+ x (* y z)) (* (fma z b t) a))
11.0ms
(* (fma z b t) a)

series311.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (* y z))
158.0ms
(+ (+ x (* y z)) (* (fma z b t) a))
108.0ms
(* (fma z b t) a)

simplify1.3s

Counts
66 → 66
Iterations
IterNodes
done5000
21088
1244
095

prune332.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (fma z b t)) a)
0.1b
(* (sqrt (fma z b t)) (* (sqrt (fma z b t)) a))
1.2b
(sqrt (fma z b t))
1.2b
(sqrt (fma z b t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
8.0ms
(* (sqrt (fma z b t)) a)
28.0ms
(* (sqrt (fma z b t)) (* (sqrt (fma z b t)) a))
1.0ms
(sqrt (fma z b t))
2.0ms
(sqrt (fma z b t))

series390.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (sqrt (fma z b t)) a)
71.0ms
(* (sqrt (fma z b t)) (* (sqrt (fma z b t)) a))
96.0ms
(sqrt (fma z b t))
98.0ms
(sqrt (fma z b t))

simplify1.9s

Counts
93 → 93
Iterations
IterNodes
done5003
32657
2740
1268
0107

prune414.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes349.0ms

Accuracy

2.5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch104.0ms

Steps
ItersRangePoint
6
6.166182452385835e-55
4.1015017514983703e-54
2.4536070897035704e-54
6
-6.371221755389119e-303
-1.3965157163868122e-303
-4.266832387722162e-303

simplify6.0ms

Iterations
IterNodes
done32
132
022

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s11650×body80valid