Details

Time bar (total: 10.3s)

sample80.0ms

Algorithm
intervals
Results
35.0ms394×body80valid

simplify221.0ms

Counts
1 → 1
Iterations
IterNodes
done251
6251
5248
4206
3140
267
126
013

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma t a (fma z (fma a b y) x))
1.2b
(fma z (fma a b y) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma t a (fma z (fma a b y) x))
1.0ms
(fma z (fma a b y) x)

series288.0ms

Counts
2 → 6
Calls
2 calls:
175.0ms
(fma t a (fma z (fma a b y) x))
113.0ms
(fma z (fma a b y) x)

simplify753.0ms

Counts
26 → 26
Iterations
IterNodes
done5001
3834
2154
162
038

prune236.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
5.3b
(* (* a z) b)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 fma-def add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
11.0ms
(+ x (* y z))
115.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
20.0ms
(+ (+ x (* y z)) (* t a))
14.0ms
(* (* a z) b)

series326.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ x (* y z))
160.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
73.0ms
(+ (+ x (* y z)) (* t a))
45.0ms
(* (* a z) b)

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5001
22246
1365
0123

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×fma-def
5×pow1 add-cbrt-cube add-exp-log
4×sum-log fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u
2×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 58
Calls
3 calls:
11.0ms
(+ x (* y z))
48.0ms
(+ (+ x (* y z)) (* a (fma z b t)))
14.0ms
(* a (fma z b t))

series245.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (* y z))
150.0ms
(+ (+ x (* y z)) (* a (fma z b t)))
61.0ms
(* a (fma z b t))

simplify839.0ms

Counts
67 → 67
Iterations
IterNodes
done5000
2971
1259
096

prune508.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (* a z) b)
5.3b
(* (* a z) b)
12.9b
(sqrt (* (* a z) b))
12.9b
(sqrt (* (* a z) b))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
14×add-cbrt-cube add-exp-log
12×pow-prod-down
6×add-sqr-sqrt *-un-lft-identity sqrt-pow1 associate-*r* prod-exp add-cube-cbrt cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/2 associate-*l* *-commutative sqrt-prod
Counts
4 → 68
Calls
4 calls:
22.0ms
(* (* a z) b)
15.0ms
(* (* a z) b)
19.0ms
(sqrt (* (* a z) b))
11.0ms
(sqrt (* (* a z) b))

series300.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* a z) b)
56.0ms
(* (* a z) b)
90.0ms
(sqrt (* (* a z) b))
107.0ms
(sqrt (* (* a z) b))

simplify680.0ms

Counts
80 → 80
Iterations
IterNodes
done5000
2750
1124
056

prune593.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes611.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s11827×body80valid