Details

Time bar (total: 14.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms287×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
2.0ms
(/ (fabs (- x y)) (fabs y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
054385
188376
2180348
3399348
4738348
51096348
62316348
done5000348

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
2.0ms
(/ (fabs y) (fabs (- x y)))
5.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify5.8s

Counts
113 → 113
Iterations

Useful iterations: 3 (554.0ms)

IterNodesCost
01531781
13161611
26911388
314651370
423251370
535911370
done50001370

prune177.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))))

rewrite80.0ms

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:
1.0ms
(sqrt (fabs (- x y)))
4.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
4.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
50.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
22.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
17.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
8.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify1.1s

Counts
354 → 354
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02119084
16388063
220906700
done50006655

prune592.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs y))
0.5b
(cbrt (fabs y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt (fabs (- x y)))
0.0ms
(cbrt (fabs (- x y)))
0.0ms
(cbrt (fabs y))
1.0ms
(cbrt (fabs y))

series309.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (fabs (- x y)))
42.0ms
(cbrt (fabs (- x y)))
107.0ms
(cbrt (fabs y))
112.0ms
(cbrt (fabs y))

simplify2.0s

Counts
64 → 64
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
036424
149408
2100360
3200348
4567348
52254348
done5001348

prune256.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes67.0ms

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

sample309.0ms

Algorithm
intervals
Results
167.0ms9158×body80valid