Details

Time bar (total: 12.2s)

sample27.0ms

Algorithm
intervals
Results
12.0ms295×body80valid

simplify7.0ms

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

localize10.0ms

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))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.6s

Counts
32 → 32
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

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:
3.0ms
(sqrt (fabs (- x y)))
16.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
16.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
83.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (fabs (- x y)))
32.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
24.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
12.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify2.7s

Counts
354 → 354
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02119084
16047987
218266700
done50006411

prune893.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (fabs (- x y))))
0.2b
(* (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
0.3b
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))
0.3b
(* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
277×sqrt-prod
174×add-sqr-sqrt
162×times-frac
112×add-cube-cbrt *-un-lft-identity
98×associate-*r*
32×add-exp-log add-cbrt-cube
21×unswap-sqr
13×pow1
12×prod-exp cbrt-unprod
10×associate-*l*
9×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r*
4×expm1-log1p-u sqrt-undiv sqrt-pow1 associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-unprod div-inv
2×rem-sqrt-square pow1/2 *-commutative
1×frac-times frac-2neg associate-*l/ clear-num
Counts
4 → 279
Calls
4 calls:
8.0ms
(sqrt (sqrt (fabs (- x y))))
139.0ms
(* (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
12.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))
83.0ms
(* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))))

series187.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (sqrt (fabs (- x y))))
12.0ms
(* (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
95.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))
24.0ms
(* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))))

simplify2.5s

Counts
291 → 291
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02666939
16165249
220214429
done50004322

prune839.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample668.0ms

Algorithm
intervals
Results
333.0ms9186×body80valid