Details

Time bar (total: 20.6s)

sample30.0ms

Algorithm
intervals
Results
12.0ms275×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
11.0ms
(/ (fabs (- x y)) (fabs y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.7s

Counts
30 → 30
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
052369
186360
2179332
3330332
4551332
5867332
62008332
done5000332

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite40.0ms

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 rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
37.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series16.0ms

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

simplify7.0s

Counts
39 → 39
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
076484
1170397
2384335
3768335
41424335
53102335
done5000335

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)) (fabs y)))
0.3b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite113.0ms

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×rem-sqrt-square 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 → 164
Calls
4 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))
8.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
74.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (fabs (- x y)) (fabs y))
32.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
35.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
10.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify2.3s

Counts
176 → 176
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01543207
12312397
27412235
327052187
done50012147

prune482.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

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

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
291×sqrt-prod
180×add-sqr-sqrt
174×times-frac
120×add-cube-cbrt *-un-lft-identity
59×associate-*r*
44×associate-*l*
18×unswap-sqr
17×pow1
16×sqrt-div
15×add-exp-log add-cbrt-cube
12×associate-/r* associate-/l*
10×pow-prod-down
6×frac-times associate-*l/
5×sqrt-pow1 pow1/2 div-inv
4×associate-*r/ prod-exp cbrt-unprod add-log-exp
3×cube-unmult sqrt-unprod
2×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num *-commutative
1×pow-plus pow-prod-up
Counts
4 → 287
Calls
4 calls:
11.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
14.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
153.0ms
(* (* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))
60.0ms
(* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
21.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
13.0ms
(* (* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y)))) (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))
112.0ms
(* (sqrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify4.1s

Counts
299 → 299
Iterations

Useful iterations: done (4.1s)

IterNodesCost
02717062
15276501
214416051
346596011
done50015990

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes102.0ms

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

sample659.0ms

Algorithm
intervals
Results
314.0ms9048×body80valid