Details

Time bar (total: 4.7m)

sample27.0ms

Algorithm
intervals
Results
12.0ms278×body80valid

simplify147.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
6.4b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite86.0ms

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:
18.0ms
(/ (/ 1.0 x) y)
36.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series123.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (/ 1.0 x) y)
91.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify2.0s

Counts
272 → 272
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ (sqrt 1.0) x) y)
0.6b
(/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (/ (sqrt 1.0) x) y)))
6.4b
(/ (fma z z 1.0) (/ (/ (sqrt 1.0) x) y))

rewrite4.7s

Algorithm
rewrite-expression-head
Rules
82268×times-frac
32036×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11727×sqrt-prod
1810×div-inv
288×associate-/r*
135×add-exp-log
119×div-exp
95×associate-/l*
73×associate-/r/
71×add-cbrt-cube
51×cbrt-undiv
20×1-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
Counts
3 → 15799
Calls
3 calls:
16.0ms
(/ (/ (sqrt 1.0) x) y)
519.0ms
(/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (/ (sqrt 1.0) x) y)))
29.0ms
(/ (fma z z 1.0) (/ (/ (sqrt 1.0) x) y))

series586.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ (/ (sqrt 1.0) x) y)
295.0ms
(/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (/ (sqrt 1.0) x) y)))
224.0ms
(/ (fma z z 1.0) (/ (/ (sqrt 1.0) x) y))

simplify8.5s

Counts
15808 → 15808
Iterations

Useful iterations: 0 (2.0s)

IterNodesCost
019385771158
done19385771158

prune1.5m

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x)))
3.2b
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x))) y)
4.4b
(/ (fma z z 1.0) (/ (sqrt 1.0) x))

rewrite8.4s

Algorithm
rewrite-expression-head
Rules
124753×times-frac
48892×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19125×sqrt-prod
5048×associate-/l*
2839×div-inv
357×associate-/r/
187×add-exp-log
169×div-exp
96×associate-/r*
91×add-cbrt-cube
67×cbrt-undiv
30×1-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
Counts
3 → 25211
Calls
3 calls:
209.0ms
(/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x)))
1.6s
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x))) y)
17.0ms
(/ (fma z z 1.0) (/ (sqrt 1.0) x))

series709.0ms

Counts
3 → 9
Calls
3 calls:
236.0ms
(/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x)))
298.0ms
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x))) y)
174.0ms
(/ (fma z z 1.0) (/ (sqrt 1.0) x))

simplify11.8s

Counts
25220 → 25220
Iterations

Useful iterations: 0 (2.4s)

IterNodesCost
0271741077476
done271741077476

prune2.4m

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (sqrt 1.0) x))
0.4b
(/ (/ (/ (sqrt 1.0) 1) 1) (* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x))))
3.2b
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x)))) y)
4.3b
(* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x)))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
1566×times-frac
616×add-sqr-sqrt
598×*-un-lft-identity
595×add-cube-cbrt
564×add-exp-log
441×div-exp
227×sqrt-prod
149×associate-/l*
140×add-cbrt-cube
112×1-exp
105×prod-exp
85×cbrt-undiv
71×associate-*r*
39×div-inv
32×rec-exp
26×associate-/r*
21×cbrt-unprod
12×associate-/r/
7×pow1 unswap-sqr
6×associate-*r/ un-div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 832
Calls
4 calls:
17.0ms
(/ 1 (/ (sqrt 1.0) x))
60.0ms
(/ (/ (/ (sqrt 1.0) 1) 1) (* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x))))
120.0ms
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x)))) y)
68.0ms
(* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x)))

series816.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ 1 (/ (sqrt 1.0) x))
239.0ms
(/ (/ (/ (sqrt 1.0) 1) 1) (* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x))))
329.0ms
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x)))) y)
161.0ms
(* (fma z z 1.0) (/ 1 (/ (sqrt 1.0) x)))

simplify2.0s

Counts
844 → 844
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
0118521309
1237213313
2418911011
done500011011

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.8b

regimes138.0ms

Accuracy

0% (1.4b remaining)

Error of 6.5b against oracle of 5.1b and baseline of 6.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01420
11716
done1716

end0.0ms

sample910.0ms

Algorithm
intervals
Results
522.0ms8596×body80valid