Details

Time bar (total: 9.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.0ms

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)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity
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)))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(sqrt (fabs (- x y)))

simplify2.9s

Counts
18 → 18
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
022127
129111
233108
337108
443108
553108
674108
7139108
8431108
91844108
done5000108

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
pow1/3 associate-*r* associate-*l* unswap-sqr
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
3.0ms
(cbrt (sqrt (fabs (- x y))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
40.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

series308.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(cbrt (sqrt (fabs (- x y))))
65.0ms
(cbrt (sqrt (fabs (- x y))))
84.0ms
(cbrt (sqrt (fabs (- x y))))
80.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

simplify2.1s

Counts
118 → 118
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0691676
11071522
22471436
34941317
411551225
done50001195

prune439.0ms

Pruning

3 alts after pruning (1 fresh and 2 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)
18.7b
(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
pow1
add-exp-log add-cbrt-cube
expm1-log1p-u pow-unpow pow-pow log1p-expm1-u add-log-exp
cube-mult sqrt-pow1 pow1/2 unpow3 sqr-pow
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))

series49.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(sqrt (fabs (- x y)))
25.0ms
(pow (sqrt (fabs (- x y))) 3)
11.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.7s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
075990
1142665
2362659
32660647
done5001647

prune218.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.0ms