Details

Time bar (total: 8.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms349×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
223
114
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize11.0ms

Local error

Found 1 expressions with local error:

4.0b
(* (fma y y 1.0) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (fma y y 1.0) x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (fma y y 1.0) x)

simplify2.7s

Counts
23 → 23
Iterations
IterNodes
done5000
32565
2277
177
039

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma y y 1.0)) x)
0.1b
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
4.0b
(sqrt (fma y y 1.0))
4.0b
(sqrt (fma y y 1.0))

rewrite45.0ms

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
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
13.0ms
(* (sqrt (fma y y 1.0)) x)
25.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (sqrt (fma y y 1.0)) x)
49.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
68.0ms
(sqrt (fma y y 1.0))
81.0ms
(sqrt (fma y y 1.0))

simplify940.0ms

Counts
89 → 89
Iterations
IterNodes
done5001
21036
1250
0103

prune371.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 4.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma y y 1.0)) (sqrt x))
0.3b
(* (* (sqrt (fma y y 1.0)) (sqrt x)) (* (sqrt (fma y y 1.0)) (sqrt x)))
4.0b
(sqrt (fma y y 1.0))
4.0b
(sqrt (fma y y 1.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
65×pow1
38×pow-prod-down
20×add-sqr-sqrt sqrt-pow1 pow1/2
18×add-cbrt-cube add-exp-log
16×sqrt-prod
10×*-un-lft-identity add-cube-cbrt
9×prod-exp cbrt-unprod
8×pow-prod-up
7×associate-*r* associate-*l*
6×sqrt-unprod pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×rem-sqrt-square pow-plus *-commutative
1×pow2 rem-square-sqrt swap-sqr
Counts
4 → 108
Calls
4 calls:
11.0ms
(* (sqrt (fma y y 1.0)) (sqrt x))
43.0ms
(* (* (sqrt (fma y y 1.0)) (sqrt x)) (* (sqrt (fma y y 1.0)) (sqrt x)))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series296.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (sqrt (fma y y 1.0)) (sqrt x))
62.0ms
(* (* (sqrt (fma y y 1.0)) (sqrt x)) (* (sqrt (fma y y 1.0)) (sqrt x)))
76.0ms
(sqrt (fma y y 1.0))
61.0ms
(sqrt (fma y y 1.0))

simplify1.1s

Counts
120 → 120
Iterations
IterNodes
done5000
21622
1357
0139

prune452.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (* x y) y (* 1.0 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:
0.0ms
(fma (* x y) y (* 1.0 x))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(fma (* x y) y (* 1.0 x))

simplify973.0ms

Counts
13 → 13
Iterations
IterNodes
done5001
3490
299
133
020

prune71.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample675.0ms

Algorithm
intervals
Results
371.0ms10650×body80valid