Details

Time bar (total: 11.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done27
327
223
114
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize6.0ms

Local error

Found 1 expressions with local error:

4.3b
(* (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:
5.0ms
(* (fma y y 1.0) x)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* (fma y y 1.0) x)

simplify2.6s

Counts
23 → 23
Iterations
IterNodes
done5002
43597
3659
2199
177
039

prune109.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.5b

localize16.0ms

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))

rewrite31.0ms

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:
8.0ms
(* (sqrt (fma y y 1.0)) x)
19.0ms
(* (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))

series266.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (sqrt (fma y y 1.0)) x)
50.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
56.0ms
(sqrt (fma y y 1.0))
55.0ms
(sqrt (fma y y 1.0))

simplify1.7s

Counts
89 → 89
Iterations
IterNodes
done5003
32483
2752
1250
0103

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.5b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×*-un-lft-identity add-cube-cbrt
9×add-cbrt-cube associate-*l* add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
29.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series337.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
70.0ms
(sqrt (fma y y 1.0))
72.0ms
(sqrt (fma y y 1.0))
76.0ms
(sqrt (fma y y 1.0))

simplify1.4s

Counts
83 → 83
Iterations
IterNodes
done5004
31879
2644
1228
093

prune454.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.5b

localize51.0ms

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))

rewrite6.0ms

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:
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series275.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sqrt (fma y y 1.0))
71.0ms
(sqrt (fma y y 1.0))
77.0ms
(sqrt (fma y y 1.0))
58.0ms
(sqrt (fma y y 1.0))

simplify2.2s

Counts
72 → 72
Iterations
IterNodes
done5000
44500
3931
2275
198
045

prune453.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 4.5b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 5.2b against oracle of 5.1b and baseline of 5.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample885.0ms

Algorithm
intervals
Results
634.0ms10727×body80valid