Details

Time bar (total: 10.9s)

sample32.0ms

Algorithm
intervals
Results
12.0ms295×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (fabs (- x y)) (fabs y))

simplify941.0ms

Counts
32 → 32
Iterations
IterNodes
done5000
31241
2268
193
054

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×expm1-log1p-u cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
12.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify2.9s

Counts
41 → 41
Iterations
IterNodes
done5000
21656
1192
078

prune215.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
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×clear-num frac-2neg
1×pow2 frac-times rem-sqrt-square rem-square-sqrt sqrt-pow1 pow-plus pow1/2 sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 342
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
6.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
6.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
63.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (fabs (- x y)))
21.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
19.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
9.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify387.0ms

Counts
354 → 354
Iterations
IterNodes
done5001
1710
0211

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
396×cbrt-prod
383×add-sqr-sqrt
356×times-frac sqrt-prod
199×*-un-lft-identity add-cube-cbrt
71×swap-sqr
43×associate-*r* associate-*l*
36×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 369
Calls
4 calls:
420.0ms
(* (cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))
8.0ms
(cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
8.0ms
(cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
9.0ms
(cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))))
70.0ms
(cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
64.0ms
(cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
89.0ms
(cbrt (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify1.4s

Counts
381 → 381
Iterations
IterNodes
done5001
21380
1366
0241

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample701.0ms

Algorithm
intervals
Results
393.0ms9140×body80valid