Details

Time bar (total: 12.0s)

sample25.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done27
327
223
114
06

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 1 expressions with local error:

4.6b
(* (fma y y 1.0) x)

rewrite13.0ms

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 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
12.0ms
(* (fma y y 1.0) x)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* (fma y y 1.0) x)

simplify2.4s

Counts
24 → 24
Iterations
IterNodes
done5007
43390
3663
2200
178
040

prune76.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.5b

localize13.0ms

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))
4.5b
(sqrt (fma y y 1.0))
4.5b
(sqrt (fma y y 1.0))

rewrite44.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (sqrt (fma y y 1.0)) x)
28.0ms
(* (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))

series359.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (sqrt (fma y y 1.0)) x)
62.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
95.0ms
(sqrt (fma y y 1.0))
88.0ms
(sqrt (fma y y 1.0))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5018
32337
2759
1253
0106

prune494.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (fma y y 1.0)))
0.1b
(* (sqrt (fma y y 1.0)) (* x (sqrt (fma y y 1.0))))
4.5b
(sqrt (fma y y 1.0))
4.5b
(sqrt (fma y y 1.0))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*l*
7×associate-*r*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
15.0ms
(* x (sqrt (fma y y 1.0)))
51.0ms
(* (sqrt (fma y y 1.0)) (* x (sqrt (fma y y 1.0))))
3.0ms
(sqrt (fma y y 1.0))
3.0ms
(sqrt (fma y y 1.0))

series319.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* x (sqrt (fma y y 1.0)))
82.0ms
(* (sqrt (fma y y 1.0)) (* x (sqrt (fma y y 1.0))))
75.0ms
(sqrt (fma y y 1.0))
82.0ms
(sqrt (fma y y 1.0))

simplify2.1s

Counts
93 → 93
Iterations
IterNodes
done5035
32225
2650
1226
0101

prune501.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
4.5b
(sqrt (fma y y 1.0))
4.5b
(sqrt (fma y y 1.0))
4.5b
(sqrt (fma y y 1.0))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
16×pow1
13×add-sqr-sqrt add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
9×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×associate-*r* *-commutative
Counts
4 → 78
Calls
4 calls:
124.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
3.0ms
(sqrt (fma y y 1.0))
3.0ms
(sqrt (fma y y 1.0))
4.0ms
(sqrt (fma y y 1.0))

series332.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
73.0ms
(sqrt (fma y y 1.0))
88.0ms
(sqrt (fma y y 1.0))
98.0ms
(sqrt (fma y y 1.0))

simplify2.0s

Counts
90 → 90
Iterations
IterNodes
done5010
32371
2725
1238
095

prune463.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.5b

regimes109.0ms

Accuracy

0% (0.1b remaining)

Error of 4.8b against oracle of 4.8b and baseline of 4.8b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample731.0ms

Algorithm
intervals
Results
486.0ms10595×body80valid