Details

Time bar (total: 6.8s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
285
done85

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
(sqrt (fabs (- x y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(sqrt (fabs (- x y)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(sqrt (fabs (- x y)))

simplify1.9s

Counts
18 → 18
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
022127
129111
233108
337108
445108
579108
6157108
7338108
81062108
done5000108

prune57.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.5b
(pow (sqrt (fabs (- x y))) 3)
19.3b
(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×add-sqr-sqrt sqrt-prod
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
6×pow1
4×add-exp-log add-cbrt-cube
3×expm1-log1p-u pow-unpow pow-pow log1p-expm1-u add-log-exp
2×cube-mult sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 78
Calls
3 calls:
1.0ms
(sqrt (fabs (- x y)))
4.0ms
(pow (sqrt (fabs (- x y))) 3)
4.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

series57.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(sqrt (fabs (- x y)))
28.0ms
(pow (sqrt (fabs (- x y))) 3)
11.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify2.0s

Counts
87 → 87
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
075990
1193731
21070659
done5000659

prune204.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sqrt (fabs (- x y))) 3/2)
0.5b
(* (cbrt (pow (sqrt (fabs (- x y))) 3/2)) (cbrt (pow (sqrt (fabs (- x y))) 3/2)))
0.5b
(cbrt (pow (sqrt (fabs (- x y))) 3/2))
0.5b
(cbrt (pow (sqrt (fabs (- x y))) 3/2))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
73×add-sqr-sqrt
66×unpow-prod-down
33×sqrt-prod
29×add-cube-cbrt *-un-lft-identity
25×unswap-sqr
17×sqr-pow
15×swap-sqr
13×pow1 associate-*r* associate-*l*
8×pow1/3
7×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow-pow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp sqrt-pow1 pow-plus pow1/2 pow-exp prod-exp *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 151
Calls
4 calls:
7.0ms
(pow (sqrt (fabs (- x y))) 3/2)
64.0ms
(* (cbrt (pow (sqrt (fabs (- x y))) 3/2)) (cbrt (pow (sqrt (fabs (- x y))) 3/2)))
6.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3/2))
6.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3/2))

series221.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(pow (sqrt (fabs (- x y))) 3/2)
11.0ms
(* (cbrt (pow (sqrt (fabs (- x y))) 3/2)) (cbrt (pow (sqrt (fabs (- x y))) 3/2)))
63.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3/2))
62.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3/2))

simplify1.0s

Counts
163 → 163
Iterations

Useful iterations: done (994.0ms)

IterNodesCost
01273249
12612965
210562861
done50012736

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes119.0ms

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
055
done55

end0.0ms

sample563.0ms

Algorithm
intervals
Results
260.0ms8000×body80valid