Details

Time bar (total: 2.6s)

sample14.0ms

Algorithm
intervals
Results
5.0ms296×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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))

simplify89.0ms

Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218
done5002218

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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)))

simplify79.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0181289
1730247
22578229
34915229
45001229
done5001229

prune79.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))
0.3b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite50.0ms

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))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
28.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))
18.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
19.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
9.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify49.0ms

Counts
184 → 184
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02411615
111581494
250011460
done50011460

prune405.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.3b
(* (* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))) (sqrt (/ (fabs (- x y)) (fabs y))))
0.3b
(* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
626×sqrt-prod
382×add-sqr-sqrt
331×times-frac
188×add-cube-cbrt *-un-lft-identity
74×swap-sqr
59×associate-*r*
44×associate-*l*
39×unswap-sqr
27×pow1
16×sqrt-div
15×add-exp-log add-cbrt-cube
12×associate-/r* associate-/l*
11×sqrt-pow1 pow1/2
10×pow-prod-down
7×div-inv
6×frac-times associate-*l/
5×pow-prod-up
4×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod pow-sqr
2×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num *-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 398
Calls
4 calls:
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
7.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
102.0ms
(* (* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))) (sqrt (/ (fabs (- x y)) (fabs y))))
76.0ms
(* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
24.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
9.0ms
(* (* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))) (sqrt (/ (fabs (- x y)) (fabs y))))
19.0ms
(* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))

simplify111.0ms

Counts
410 → 410
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05446014
127705522
250015477
done50015477

prune828.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

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

sample354.0ms

Algorithm
intervals
Results
170.0ms9199×body80valid