Details

Time bar (total: 11.6s)

sample56.0ms

Algorithm
intervals
Results
18.0ms372×body80valid

simplify224.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
3.5b
(* (* a z) b)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-cbrt-cube add-exp-log
6×add-sqr-sqrt fma-def *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 57
Calls
3 calls:
107.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
21.0ms
(+ (+ x (* y z)) (* t a))
23.0ms
(* (* a z) b)

series244.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
70.0ms
(+ (+ x (* y z)) (* t a))
38.0ms
(* (* a z) b)

simplify1.7s

Counts
66 → 66
Iterations
IterNodes
done5001
21760
1305
0105

prune504.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x (* y z)) (* a (fma z b t)))
2.5b
(* a (fma z b t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log fma-udef
3×sum-log fma-def associate-*r* associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+r+ distribute-lft-in log1p-expm1-u
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 42
Calls
2 calls:
27.0ms
(+ (+ x (* y z)) (* a (fma z b t)))
6.0ms
(* a (fma z b t))

series219.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(+ (+ x (* y z)) (* a (fma z b t)))
94.0ms
(* a (fma z b t))

simplify1.2s

Counts
48 → 48
Iterations
IterNodes
done5000
2822
1197
078

prune346.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma t a (fma z (fma a b y) x))
2.6b
(fma z (fma a b y) x)

rewrite1.0ms

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:
0.0ms
(fma t a (fma z (fma a b y) x))
0.0ms
(fma z (fma a b y) x)

series248.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(fma t a (fma z (fma a b y) x))
116.0ms
(fma z (fma a b y) x)

simplify1.3s

Counts
26 → 26
Iterations
IterNodes
done5001
3834
2154
162
038

prune172.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* a z) b)
3.5b
(* (* a z) b)
12.5b
(sqrt (* (* a z) b))
12.5b
(sqrt (* (* a z) b))

rewrite74.0ms

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:
24.0ms
(* (* a z) b)
14.0ms
(* (* a z) b)
13.0ms
(sqrt (* (* a z) b))
21.0ms
(sqrt (* (* a z) b))

series273.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* a z) b)
53.0ms
(* (* a z) b)
105.0ms
(sqrt (* (* a z) b))
79.0ms
(sqrt (* (* a z) b))

simplify779.0ms

Counts
80 → 80
Iterations
IterNodes
done5000
2750
1124
056

prune612.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes632.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
013

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.5s11964×body80valid