Details

Time bar (total: 33.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1783
21083
done1083

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip-- distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
24.0ms
(- x (/ y 200.0))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(- x (/ y 200.0))

simplify3.5s

Counts
62 → 62
Iterations

Useful iterations: done (3.5s)

IterNodesCost
015528710
138125616
298120712
3256217790
done500712110

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (sqrt 200.0))
0.3b
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
0.3b
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
59.6b
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
534×times-frac
293×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
276×sqrt-prod
47×associate-/l*
18×associate-/r*
17×div-inv
16×add-cbrt-cube add-exp-log
7×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×fma-udef
Counts
4 → 405
Calls
4 calls:
5.0ms
(/ y (sqrt 200.0))
21.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
16.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
0.0ms
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ y (sqrt 200.0))
113.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
132.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
252.0ms
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

simplify4.0s

Counts
417 → 417
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0261165448
1564144850
21180139968
34620137353
done5115137193

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
0.3b
(/ (sqrt 200.0) (/ y (cbrt (sqrt 200.0))))
0.6b
(/ (/ 1 (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0)))) (/ (sqrt 200.0) (/ y (cbrt (sqrt 200.0)))))
59.6b
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
5330×times-frac
2138×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1467×sqrt-prod
990×cbrt-prod
265×div-inv
228×associate-/r*
92×add-exp-log
60×div-exp
40×add-cbrt-cube
35×associate-/l*
30×cbrt-undiv
10×associate-/r/
9×prod-exp
6×rec-exp 1-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×clear-num frac-2neg cbrt-unprod
2×associate-/l/
1×fma-udef
Counts
4 → 2006
Calls
4 calls:
14.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
21.0ms
(/ (sqrt 200.0) (/ y (cbrt (sqrt 200.0))))
105.0ms
(/ (/ 1 (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0)))) (/ (sqrt 200.0) (/ y (cbrt (sqrt 200.0)))))
1.0ms
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
146.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
612.0ms
(/ (sqrt 200.0) (/ y (cbrt (sqrt 200.0))))
139.0ms
(/ (/ 1 (* (cbrt (sqrt 200.0)) (cbrt (sqrt 200.0)))) (/ (sqrt 200.0) (/ y (cbrt (sqrt 200.0)))))
262.0ms
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

simplify3.5s

Counts
2018 → 2018
Iterations

Useful iterations: done (2.8s)

IterNodesCost
020791617595
done50001568494

prune12.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (sqrt 200.0))
0.3b
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
0.3b
(* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (/ y (cbrt 200.0)))
59.6b
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
192×add-sqr-sqrt
174×*-un-lft-identity
171×add-cube-cbrt
144×sqrt-prod
56×add-exp-log
25×add-cbrt-cube associate-/l*
22×associate-*r*
20×prod-exp
19×div-exp
12×cbrt-prod associate-/r*
11×cbrt-undiv div-inv
9×unswap-sqr
8×cbrt-unprod
7×associate-*l*
6×pow1
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef associate-/l/
Counts
4 → 300
Calls
4 calls:
8.0ms
(/ y (sqrt 200.0))
25.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
69.0ms
(* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (/ y (cbrt 200.0)))
1.0ms
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ y (sqrt 200.0))
157.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))
176.0ms
(* (/ 1 (* (cbrt 200.0) (cbrt 200.0))) (/ y (cbrt 200.0)))
249.0ms
(fma (/ y (sqrt 200.0)) (/ -1 (sqrt 200.0)) (/ (/ y (sqrt 200.0)) (sqrt 200.0)))

simplify2.5s

Counts
312 → 312
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0384116754
1971103079
2264398017
done500297337

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
done583

end0.0ms

sample437.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid