Details

Time bar (total: 7.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms284×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

simplify1.2s

Counts
32 → 32
Iterations

Useful iterations: 3 (171.0ms)

IterNodesCost
054385
193376
2268350
31252348
done5001348

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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)))
11.0ms
(/ 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))))

simplify2.2s

Counts
113 → 113
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01531781
13641567
221201475
done50011370

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 342
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
10.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
70.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (fabs (- x y)))
23.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
39.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
20.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify494.0ms

Counts
354 → 354
Iterations

Useful iterations: done (482.0ms)

IterNodesCost
02119084
17108267
done50007915

prune829.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.0b
(sqrt (fabs (- x y)))
0.2b
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×add-cube-cbrt *-un-lft-identity
150×sqrt-prod
28×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv associate-/l*
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/r/
Counts
4 → 248
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
3.0ms
(sqrt (fabs (- x y)))
25.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
7.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (fabs (- x y)))
19.0ms
(sqrt (fabs (- x y)))
10.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
26.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify436.0ms

Counts
260 → 260
Iterations

Useful iterations: done (424.0ms)

IterNodesCost
02676240
16665695
done50005496

prune651.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes81.0ms

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

sample752.0ms

Algorithm
intervals
Results
396.0ms9227×body80valid