Details

Time bar (total: 23.7s)

sample41.0ms

Algorithm
intervals
Results
19.0ms272×body80valid

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
7.5b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
22.0ms
(/ (/ 1.0 x) y)
40.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series145.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (/ 1.0 x) y)
107.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify2.1s

Counts
272 → 272
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1.0 x) (sqrt (fma z z 1.0)))
1.2b
(* (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (/ (/ 1 y) (sqrt (fma z z 1.0))))
17.3b
(sqrt (fma z z 1.0))
17.3b
(sqrt (fma z z 1.0))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
497×times-frac
375×add-sqr-sqrt
231×*-un-lft-identity
221×add-cube-cbrt
155×sqrt-prod
82×associate-*r* associate-*l*
69×add-exp-log
45×add-cbrt-cube
36×div-exp
35×unswap-sqr
22×div-inv
21×cbrt-undiv
15×prod-exp
13×associate-/l*
9×cbrt-unprod
8×pow1
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 381
Calls
4 calls:
25.0ms
(/ (/ 1.0 x) (sqrt (fma z z 1.0)))
233.0ms
(* (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (/ (/ 1 y) (sqrt (fma z z 1.0))))
4.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series366.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ (/ 1.0 x) (sqrt (fma z z 1.0)))
112.0ms
(* (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (/ (/ 1 y) (sqrt (fma z z 1.0))))
62.0ms
(sqrt (fma z z 1.0))
83.0ms
(sqrt (fma z z 1.0))

simplify3.0s

Counts
393 → 393
Iterations

Useful iterations: done (3.0s)

IterNodesCost
05079104
115088269
243297515
done50007513

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y) (sqrt (fma z z 1.0)))
2.6b
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
17.3b
(sqrt (fma z z 1.0))
17.3b
(sqrt (fma z z 1.0))

rewrite555.0ms

Algorithm
rewrite-expression-head
Rules
6768×times-frac
2899×add-sqr-sqrt
2897×add-cube-cbrt *-un-lft-identity
1734×sqrt-prod
332×associate-/l*
184×div-inv
27×add-exp-log add-cbrt-cube
16×cbrt-undiv div-exp
9×associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 2157
Calls
4 calls:
148.0ms
(/ (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y) (sqrt (fma z z 1.0)))
57.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
3.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series385.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y) (sqrt (fma z z 1.0)))
132.0ms
(/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) y)
71.0ms
(sqrt (fma z z 1.0))
81.0ms
(sqrt (fma z z 1.0))

simplify1.6s

Counts
2169 → 2169
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0250480936
done500074728

prune8.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.7b

localize29.0ms

Local error

Found 4 expressions with local error:

17.3b
(sqrt (fma z z 1.0))
17.3b
(sqrt (fma z z 1.0))
17.3b
(sqrt (fma z z 1.0))
17.3b
(sqrt (fma z z 1.0))

rewrite10.0ms

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

series302.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (fma z z 1.0))
69.0ms
(sqrt (fma z z 1.0))
77.0ms
(sqrt (fma z z 1.0))
80.0ms
(sqrt (fma z z 1.0))

simplify1.9s

Counts
72 → 72
Iterations

Useful iterations: done (1.9s)

IterNodesCost
045656
197580
2237544
3673540
42944536
done5001528

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.7b

regimes122.0ms

Accuracy

0% (1.1b remaining)

Error of 5.8b against oracle of 4.7b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
done1017

end0.0ms

sample834.0ms

Algorithm
intervals
Results
454.0ms8613×body80valid