Details

Time bar (total: 19.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×pow1 cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (fabs (- x y)) (fabs y))

simplify4.4s

Counts
30 → 30
Iterations
IterNodes
done5008
54904
41701
3604
2241
191
052

prune199.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.2b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 103
Calls
2 calls:
7.0ms
(/ (fabs y) (fabs (- x y)))
16.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series20.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (fabs y) (fabs (- x y)))
10.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify2.3s

Counts
109 → 109
Iterations
IterNodes
done5007
32609
21008
1356
0149

prune465.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (fabs (- x y)))
0.2b
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×add-exp-log
34×div-exp
30×div-inv
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×clear-num frac-2neg add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 258
Calls
2 calls:
4.0ms
(/ 1 (fabs (- x y)))
28.0ms
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (fabs (- x y)))
9.0ms
(/ (/ 1 (fabs y)) (/ 1 (fabs (- x y))))

simplify6.8s

Counts
264 → 264
Iterations
IterNodes
done5001
22974
11159
0387

prune634.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (fabs y) (fabs (- x y))))
0.0b
(sqrt (/ (fabs y) (fabs (- x y))))
0.2b
(/ 1 (* (sqrt (/ (fabs y) (fabs (- x y)))) (sqrt (/ (fabs y) (fabs (- x y))))))
0.2b
(* (sqrt (/ (fabs y) (fabs (- x y)))) (sqrt (/ (fabs y) (fabs (- x y)))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
92×sqrt-prod
86×add-sqr-sqrt
65×times-frac
52×*-un-lft-identity add-cube-cbrt
37×pow1
18×sqrt-pow1 pow1/2 swap-sqr
17×add-exp-log
16×associate-*r* associate-*l*
14×pow-flip
11×add-cbrt-cube
10×sqrt-div pow-prod-up
9×unswap-sqr
7×div-inv
6×pow-prod-down pow-sqr
4×rem-sqrt-square div-exp prod-exp add-log-exp
3×associate-/r/ associate-/l*
2×pow2 frac-times cbrt-undiv rec-exp pow-plus 1-exp associate-*l/ associate-*r/ cbrt-unprod
1×clear-num associate-/r* rem-square-sqrt frac-2neg sqrt-unprod *-commutative inv-pow
Counts
4 → 180
Calls
4 calls:
6.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
5.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
45.0ms
(/ 1 (* (sqrt (/ (fabs y) (fabs (- x y)))) (sqrt (/ (fabs y) (fabs (- x y))))))
35.0ms
(* (sqrt (/ (fabs y) (fabs (- x y)))) (sqrt (/ (fabs y) (fabs (- x y)))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
23.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
13.0ms
(/ 1 (* (sqrt (/ (fabs y) (fabs (- x y)))) (sqrt (/ (fabs y) (fabs (- x y))))))
12.0ms
(* (sqrt (/ (fabs y) (fabs (- x y)))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify2.7s

Counts
192 → 192
Iterations
IterNodes
done5016
33478
2921
1340
0181

prune947.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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
done6
06

end0.0ms

sample602.0ms

Algorithm
intervals
Results
384.0ms9134×body80valid