Details

Time bar (total: 14.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms287×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))

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))

series10.0ms

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

simplify2.8s

Counts
32 → 32
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.2b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite33.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
12.0ms
(/ (fabs y) (fabs (- x y)))
15.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series28.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ (fabs y) (fabs (- x y)))
14.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify5.9s

Counts
113 → 113
Iterations

Useful iterations: 3 (401.0ms)

IterNodesCost
01531781
13011567
25571388
311971370
422481370
538021370
done50001370

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 218
Calls
2 calls:
17.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
7.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
22.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify2.5s

Counts
224 → 224
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02515320
15304731
29944437
323224341
done50004290

prune387.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(pow (/ (fabs (- x y)) (fabs y)) 3)
14.7b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
8×add-exp-log add-cbrt-cube
5×div-inv
4×pow1
3×expm1-log1p-u pow-unpow associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 121
Calls
3 calls:
12.0ms
(/ (fabs (- x y)) (fabs y))
7.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
6.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series68.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (fabs (- x y)) (fabs y))
41.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
12.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify943.0ms

Counts
130 → 130
Iterations

Useful iterations: done (938.0ms)

IterNodesCost
01372130
13201780
29891597
done50001577

prune261.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes86.0ms

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

sample666.0ms

Algorithm
intervals
Results
369.0ms9136×body80valid