Details

Time bar (total: 11.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms348×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: 5.4b

localize8.0ms

Local error

Found 1 expressions with local error:

5.0b
(* (fma y y 1.0) x)

rewrite6.0ms

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:
6.0ms
(* (fma y y 1.0) x)

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (fma y y 1.0) x)

simplify2.1s

Counts
23 → 23
Iterations
IterNodes
done5000
32565
2277
177
039

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
add-sqr-sqrt sqrt-prod
add-cbrt-cube add-exp-log
*-un-lft-identity add-cube-cbrt
associate-*l*
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2
associate-*r* *-commutative
Counts
3 → 53
Calls
3 calls:
27.0ms
(* (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))

series158.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
57.0ms
(sqrt (fma y y 1.0))
56.0ms
(sqrt (fma y y 1.0))

simplify1.7s

Counts
62 → 62
Iterations
IterNodes
done5002
33484
2633
1180
075

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.3b

localize36.0ms

Local error

Found 4 expressions with local error:

5.0b
(sqrt (fma y y 1.0))
5.2b
(cbrt (fma y y 1.0))
5.2b
(cbrt (fma y y 1.0))
5.2b
(cbrt (fma y y 1.0))

rewrite4.0ms

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:
1.0ms
(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))

series749.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (fma y y 1.0))
262.0ms
(cbrt (fma y y 1.0))
226.0ms
(cbrt (fma y y 1.0))
185.0ms
(cbrt (fma y y 1.0))

simplify2.2s

Counts
66 → 66
Iterations
IterNodes
done5000
33890
2681
1205
090

prune561.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.3b

localize50.0ms

Local error

Found 4 expressions with local error:

5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))

rewrite8.0ms

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:
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series296.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (fma y y 1.0))
70.0ms
(sqrt (fma y y 1.0))
85.0ms
(sqrt (fma y y 1.0))
82.0ms
(sqrt (fma y y 1.0))

simplify1.4s

Counts
72 → 72
Iterations
IterNodes
done5000
31936
2332
198
045

prune456.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 5.3b

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 5.3b against oracle of 5.3b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
412.0ms10691×body80valid