Details

Time bar (total: 13.4s)

sample31.0ms

Algorithm
intervals
Results
12.0ms285×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ (fabs (- x y)) (fabs y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(/ (fabs (- x y)) (fabs y))

simplify2.2s

Counts
32 → 32
Iterations

Useful iterations: 3 (274.0ms)

IterNodesCost
054385
193376
2268350
31252348
done5001348

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
10.0ms
(/ (fabs y) (fabs (- x y)))
22.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series39.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (fabs y) (fabs (- x y)))
18.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify2.7s

Counts
113 → 113
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01531781
13641567
221201475
done50011370

prune404.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.0b
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
0.1b
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
9×add-exp-log
7×add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg clear-num div-inv
1×rec-exp expm1-log1p pow-flip 1-exp inv-pow expm1-udef
Counts
3 → 73
Calls
3 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
0.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
8.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

series173.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ (fabs y) (fabs (- x y)))
74.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
83.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

simplify4.0s

Counts
82 → 82
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
01051122
1176950
2599876
33955876
done5001876

prune375.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 172
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
6.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
6.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
50.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (fabs (- x y)) (fabs y))
30.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
34.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
14.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify1.2s

Counts
184 → 184
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01603295
12812475
215552305
done50012267

prune817.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes138.0ms

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
067
done67

end0.0ms

sample743.0ms

Algorithm
intervals
Results
369.0ms9144×body80valid