Details

Time bar (total: 8.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms341×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
223
114
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 1 expressions with local error:

4.3b
(* (fma y y 1.0) x)

rewrite7.0ms

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:
7.0ms
(* (fma y y 1.0) x)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (fma y y 1.0) x)

simplify2.3s

Counts
23 → 23
Iterations
IterNodes
done5000
32565
2277
177
039

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.5b

localize18.0ms

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))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))

rewrite51.0ms

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:
12.0ms
(* (sqrt (fma y y 1.0)) x)
33.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
2.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series315.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (sqrt (fma y y 1.0)) x)
52.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
73.0ms
(sqrt (fma y y 1.0))
72.0ms
(sqrt (fma y y 1.0))

simplify1.1s

Counts
89 → 89
Iterations
IterNodes
done5001
21036
1250
0103

prune321.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))

rewrite68.0ms

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 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×associate-*r* *-commutative
Counts
4 → 74
Calls
4 calls:
62.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series213.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
56.0ms
(sqrt (fma y y 1.0))
54.0ms
(sqrt (fma y y 1.0))
57.0ms
(sqrt (fma y y 1.0))

simplify1.1s

Counts
86 → 86
Iterations
IterNodes
done5001
2961
1234
093

prune422.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.5b

localize60.0ms

Local error

Found 4 expressions with local error:

4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series261.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (fma y y 1.0))
58.0ms
(sqrt (fma y y 1.0))
81.0ms
(sqrt (fma y y 1.0))
68.0ms
(sqrt (fma y y 1.0))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5000
31936
2332
198
045

prune438.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.5b

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 5.6b against oracle of 5.5b and baseline of 5.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample638.0ms

Algorithm
intervals
Results
401.0ms10659×body80valid