Details

Time bar (total: 15.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms275×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

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))

rewrite7.0ms

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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.2s

Counts
32 → 32
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))))

rewrite68.0ms

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:
5.0ms
(/ (fabs (- x y)) (fabs y))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
4.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
48.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (fabs (- x y)) (fabs y))
43.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
36.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
14.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify1.9s

Counts
184 → 184
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01603295
12372465
27422303
326922255
done50002215

prune671.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
42×sqrt-prod
36×times-frac
33×add-cube-cbrt *-un-lft-identity
16×associate-*r*
13×add-exp-log add-cbrt-cube
9×pow1 associate-/r*
6×associate-*l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
3×cbrt-undiv sqrt-pow1 pow1/2 sqrt-div div-exp pow-prod-down
2×rem-sqrt-square frac-2neg sqrt-unprod associate-*r/ prod-exp clear-num cbrt-unprod
1×sqrt-undiv *-commutative associate-/l/
Counts
4 → 132
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
6.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
26.0ms
(/ (* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (fabs y)))
32.0ms
(* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (fabs (- x y)) (fabs y))
32.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
15.0ms
(/ (* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (fabs y)))
35.0ms
(* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify3.5s

Counts
144 → 144
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01642391
12882211
29472059
342832048
done50002048

prune541.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
66×add-sqr-sqrt
54×sqrt-prod
49×add-cube-cbrt *-un-lft-identity
32×add-exp-log
20×add-cbrt-cube
16×associate-*r*
14×div-exp
12×associate-/r*
10×pow1
9×associate-/l*
8×div-inv
7×cbrt-undiv sqrt-div
6×associate-*r/ associate-*l* associate-/r/ unswap-sqr
5×prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down cbrt-unprod
2×rem-sqrt-square frac-2neg sqrt-unprod clear-num
1×sqrt-undiv pow-flip *-commutative inv-pow
Counts
4 → 177
Calls
4 calls:
6.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
22.0ms
(/ (sqrt (fabs y)) (* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y)))))
37.0ms
(/ 1 (/ (sqrt (fabs y)) (* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y))))))
29.0ms
(* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
11.0ms
(/ (sqrt (fabs y)) (* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y)))))
10.0ms
(/ 1 (/ (sqrt (fabs y)) (* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y))))))
28.0ms
(* (sqrt (fabs (- x y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify3.9s

Counts
189 → 189
Iterations

Useful iterations: done (3.9s)

IterNodesCost
02284051
14363627
211743317
346713273
done50003271

prune496.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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

sample633.0ms

Algorithm
intervals
Results
279.0ms9048×body80valid