Details

Time bar (total: 11.9s)

sample37.0ms

Algorithm
intervals
Results
17.0ms383×body80valid

simplify107.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

1.9b
(fma z (fma a b y) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
1.0ms
(fma z (fma a b y) x)

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(fma z (fma a b y) x)

simplify1.4s

Counts
13 → 13
Iterations
IterNodes
done5004
41725
3313
277
137
022

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.5b
(* (* a z) b)

rewrite113.0ms

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:
20.0ms
(+ (+ x (* y z)) (* t a))
79.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
13.0ms
(* (* a z) b)

series226.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (+ x (* y z)) (* t a))
124.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
33.0ms
(* (* a z) b)

simplify1.6s

Counts
66 → 66
Iterations
IterNodes
done5006
21336
1301
0105

prune447.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x (* y z)) (* a (fma z b t)))
2.2b
(* a (fma z b t))

rewrite52.0ms

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:
39.0ms
(+ (+ x (* y z)) (* a (fma z b t)))
11.0ms
(* a (fma z b t))

series224.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(+ (+ x (* y z)) (* a (fma z b t)))
81.0ms
(* a (fma z b t))

simplify2.5s

Counts
48 → 48
Iterations
IterNodes
done5000
33467
2723
1196
078

prune363.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (fma z y (* (fma b z t) a)))
0.0b
(fma z y (* (fma b z t) a))
2.2b
(* (fma b z t) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
5×pow1 add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u fma-def associate-*r* associate-*l* log1p-expm1-u
2×fma-udef
1×+-commutative associate-+r+ sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 48
Calls
3 calls:
4.0ms
(+ x (fma z y (* (fma b z t) a)))
0.0ms
(fma z y (* (fma b z t) a))
5.0ms
(* (fma b z t) a)

series219.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(+ x (fma z y (* (fma b z t) a)))
66.0ms
(fma z y (* (fma b z t) a))
52.0ms
(* (fma b z t) a)

simplify1.9s

Counts
57 → 57
Iterations
IterNodes
done5000
33444
2622
1168
078

prune418.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes675.0ms

Accuracy

85.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.7b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done32
132
022

end0.0ms

sample1.4s

Algorithm
intervals
Results
882.0ms11852×body80valid