Details

Time bar (total: 17.6s)

sample34.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify235.0ms

Counts
1 → 1
Iterations
IterNodes
done306
10306
9302
8284
7227
6158
597
454
341
228
117
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-- associate-/r/ flip-- associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 61
Calls
1 calls:
58.0ms
(/ (- x y) (- 2.0 (+ x y)))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.9s

Counts
64 → 64
Iterations
IterNodes
done5000
33843
2829
1290
0115

prune228.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-cbrt-cube add-exp-log
6×associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 distribute-rgt-out-- insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 725
Calls
3 calls:
21.0ms
(/ x (- 2.0 (+ x y)))
19.0ms
(/ y (- 2.0 (+ x y)))
169.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series543.0ms

Counts
3 → 9
Calls
3 calls:
395.0ms
(/ x (- 2.0 (+ x y)))
62.0ms
(/ y (- 2.0 (+ x y)))
86.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify2.1s

Counts
734 → 734
Iterations
IterNodes
done5000
23419
11344
0583

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ y (- 2.0 (+ x y)))))
0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (log1p (expm1 (/ y (- 2.0 (+ x y))))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
192×*-un-lft-identity
135×add-sqr-sqrt
109×times-frac
90×add-cube-cbrt
72×prod-diff
41×distribute-lft-out--
24×fma-neg
22×difference-of-squares
20×distribute-lft-out
12×associate-/r* associate-/r/
8×add-cbrt-cube add-exp-log
7×flip3-- flip-- add-log-exp
6×div-inv associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×cbrt-undiv log1p-udef clear-num frac-2neg diff-log div-exp
1×sub-neg log1p-expm1
Counts
4 → 215
Calls
4 calls:
0.0ms
(log1p (expm1 (/ y (- 2.0 (+ x y)))))
36.0ms
(/ x (- 2.0 (+ x y)))
38.0ms
(/ y (- 2.0 (+ x y)))
124.0ms
(- (/ x (- 2.0 (+ x y))) (log1p (expm1 (/ y (- 2.0 (+ x y))))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(log1p (expm1 (/ y (- 2.0 (+ x y)))))
57.0ms
(/ x (- 2.0 (+ x y)))
54.0ms
(/ y (- 2.0 (+ x y)))
105.0ms
(- (/ x (- 2.0 (+ x y))) (log1p (expm1 (/ y (- 2.0 (+ x y))))))

simplify1.5s

Counts
227 → 227
Iterations
IterNodes
done5002
21579
1578
0261

prune800.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (log1p (expm1 (cbrt (* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y))))))))
0.1b
(* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y))))
0.1b
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
22.7b
(cbrt (* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y)))))

rewrite588.0ms

Algorithm
rewrite-expression-head
Rules
339×*-un-lft-identity
204×add-sqr-sqrt times-frac
130×add-cube-cbrt
79×distribute-lft-out--
72×prod-diff
57×add-cbrt-cube add-exp-log
48×associate-*r*
42×swap-sqr
39×distribute-lft-out
30×pow1
29×difference-of-squares
25×associate-*l*
24×fma-neg
22×prod-exp cbrt-unprod
18×associate-/r/
17×cbrt-undiv div-exp
11×frac-times associate-*l/
10×flip3-- flip--
9×div-inv
7×cbrt-div pow-plus associate-*r/ pow-prod-up add-log-exp
6×unswap-sqr
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u
3×pow2 pow-sqr
2×diff-log pow3 *-commutative
1×cbrt-prod log1p-udef sub-neg pow1/3 rem-cbrt-cube
Counts
4 → 332
Calls
4 calls:
131.0ms
(- (/ x (- 2.0 (+ x y))) (log1p (expm1 (cbrt (* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y))))))))
217.0ms
(* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y))))
82.0ms
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
143.0ms
(cbrt (* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y)))))

series515.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(- (/ x (- 2.0 (+ x y))) (log1p (expm1 (cbrt (* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y))))))))
130.0ms
(* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y))))
98.0ms
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
105.0ms
(cbrt (* (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) (/ y (- 2.0 (+ x y)))))

simplify3.2s

Counts
344 → 344
Iterations
IterNodes
done5002
24013
11147
0393

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample854.0ms

Algorithm
intervals
Results
647.0ms7997×body80valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body1280valid