Details

Time bar (total: 10.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms348×body80valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
223
114
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 1 expressions with local error:

3.1b
(* (fma y y 1.0) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
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:
9.0ms
(* (fma y y 1.0) x)

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (fma y y 1.0) x)

simplify2.3s

Counts
23 → 23
Iterations
IterNodes
done5000
32565
2277
177
039

prune131.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize15.0ms

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))
3.1b
(sqrt (fma y y 1.0))
3.1b
(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
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
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)
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))

series299.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (sqrt (fma y y 1.0)) x)
46.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
55.0ms
(sqrt (fma y y 1.0))
75.0ms
(sqrt (fma y y 1.0))

simplify980.0ms

Counts
89 → 89
Iterations
IterNodes
done5001
21036
1250
0103

prune417.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.3b

localize41.0ms

Local error

Found 4 expressions with local error:

3.1b
(sqrt (fma y y 1.0))
3.3b
(cbrt (fma y y 1.0))
3.3b
(cbrt (fma y y 1.0))
3.3b
(cbrt (fma y y 1.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
pow1
expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
pow1/3 sqrt-prod
rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
2.0ms
(sqrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))

series741.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sqrt (fma y y 1.0))
239.0ms
(cbrt (fma y y 1.0))
200.0ms
(cbrt (fma y y 1.0))
232.0ms
(cbrt (fma y y 1.0))

simplify2.1s

Counts
66 → 66
Iterations
IterNodes
done5000
33890
2681
1205
090

prune521.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 3.3b

localize35.0ms

Local error

Found 4 expressions with local error:

3.1b
(sqrt (fma y y 1.0))
3.1b
(sqrt (fma y y 1.0))
3.1b
(sqrt (fma y y 1.0))
3.1b
(sqrt (fma y y 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity add-cube-cbrt
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))

series277.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (fma y y 1.0))
63.0ms
(sqrt (fma y y 1.0))
65.0ms
(sqrt (fma y y 1.0))
80.0ms
(sqrt (fma y y 1.0))

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done5000
31936
2332
198
045

prune333.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 3.3b

regimes82.0ms

Accuracy

0% (0.1b remaining)

Error of 5.1b against oracle of 5.0b and baseline of 5.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample586.0ms

Algorithm
intervals
Results
320.0ms10718×body80valid