Details

Time bar (total: 7.8s)

sample30.0ms

Algorithm
intervals
Results
15.0ms284×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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(/ (fabs (- x y)) (fabs y))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.1s

Counts
30 → 30
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
052369
191360
2265334
31230332
done5000332

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 103
Calls
2 calls:
9.0ms
(/ (fabs y) (fabs (- x y)))
22.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series29.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (fabs y) (fabs (- x y)))
16.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify2.7s

Counts
109 → 109
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01491745
13621531
220081410
done50011338

prune244.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

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))))

rewrite183.0ms

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×prod-exp cbrt-unprod 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 → 334
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
16.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
15.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
99.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (fabs (- x y)))
35.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
21.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
12.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify505.0ms

Counts
346 → 346
Iterations

Useful iterations: done (493.0ms)

IterNodesCost
02058992
17048175
done50017823

prune815.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(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))))

rewrite54.0ms

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 div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/r/
Counts
4 → 240
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (fabs (- x y)))
21.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
9.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (fabs (- x y)))
12.0ms
(sqrt (fabs (- x y)))
19.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
36.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify463.0ms

Counts
252 → 252
Iterations

Useful iterations: done (454.0ms)

IterNodesCost
02616168
16605605
done50015428

prune615.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes57.0ms

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

sample631.0ms

Algorithm
intervals
Results
315.0ms9227×body80valid