Details

Time bar (total: 2.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms297×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294
done94

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (fabs (- x y)) (fabs y))

simplify85.0ms

Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218
done5002218

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
5.0ms
(/ (fabs y) (fabs (- x y)))
10.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (fabs y) (fabs (- x y)))
9.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify59.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
03141058
11325952
24677878
35001878
done5001878

prune166.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
14.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify74.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0181289
1730247
22578229
34915229
45001229
done5001229

prune74.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (fabs y) (fabs (- x y))))
0.1b
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
0.1b
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
0.2b
(* (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
460×add-sqr-sqrt
335×sqrt-prod
321×*-un-lft-identity
277×add-cube-cbrt
61×swap-sqr
53×associate-*r* associate-*l*
52×add-exp-log
49×unswap-sqr
32×pow1 associate-/r*
30×pow-flip
29×div-inv
20×div-exp add-cbrt-cube
16×prod-exp
11×sqrt-pow1 pow1/2
10×rec-exp 1-exp inv-pow
9×pow-prod-up
7×sqrt-div
6×cbrt-undiv associate-/r/ associate-/l*
5×pow-prod-down pow-sqr
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg clear-num
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 474
Calls
4 calls:
4.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
12.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
11.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
97.0ms
(* (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
18.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
25.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
9.0ms
(* (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))))

simplify80.0ms

Counts
486 → 486
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012397985
150027035
done50027035

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes56.0ms

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
064
164
done64

end0.0ms

sample337.0ms

Algorithm
intervals
Results
153.0ms9131×body80valid