Details

Time bar (total: 14.2s)

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

localize11.0ms

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)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(sqrt (fabs (- x y)))

simplify2.1s

Counts
18 → 18
Iterations

Useful iterations: 2 (15.0ms)

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

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (fabs (- x y))))
0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
4.0ms
(sqrt (cbrt (fabs (- x y))))
18.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (cbrt (fabs (- x y))))
98.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
74.0ms
(cbrt (fabs (- x y)))
82.0ms
(cbrt (fabs (- x y)))

simplify3.0s

Counts
86 → 86
Iterations

Useful iterations: 3 (260.0ms)

IterNodesCost
074990
1120924
2310844
3735838
42621838
done5000838

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.5b
(pow (sqrt (fabs (- x y))) 3)
19.2b
(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite22.0ms

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:
3.0ms
(sqrt (fabs (- x y)))
7.0ms
(pow (sqrt (fabs (- x y))) 3)
8.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

series70.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(sqrt (fabs (- x y)))
36.0ms
(pow (sqrt (fabs (- x y))) 3)
19.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.5s

Counts
87 → 87
Iterations

Useful iterations: 3 (983.0ms)

IterNodesCost
075990
1142665
2362659
32660647
done5001647

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.2b
(* (sqrt (fabs (- x y))) (fabs (- x y)))
19.2b
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
7×add-cube-cbrt *-un-lft-identity sqrt-prod
6×associate-*l*
5×add-exp-log add-cbrt-cube
3×expm1-log1p-u sqrt-pow1 pow1/2 associate-*r* log1p-expm1-u add-log-exp
2×pow-plus cube-unmult pow-prod-up unswap-sqr
1×cbrt-prod rem-sqrt-square pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
3 → 56
Calls
3 calls:
3.0ms
(sqrt (fabs (- x y)))
15.0ms
(* (sqrt (fabs (- x y))) (fabs (- x y)))
6.0ms
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

series71.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(sqrt (fabs (- x y)))
33.0ms
(* (sqrt (fabs (- x y))) (fabs (- x y)))
21.0ms
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

simplify3.6s

Counts
65 → 65
Iterations

Useful iterations: done (3.6s)

IterNodesCost
057667
191599
2196489
3343443
4688443
51982439
done5001437

prune183.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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

sample544.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid