Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
1 → 13
Calls
1 calls:
2.0ms
(sqrt (fabs (- x y)))

series20.0ms

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

simplify79.0ms

Counts
16 → 16

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
4.0ms
(sqrt (sqrt (fabs (- x y))))
4.0ms
(sqrt (sqrt (fabs (- x y))))
40.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (fabs (- x y)))
58.0ms
(sqrt (sqrt (fabs (- x y))))
46.0ms
(sqrt (sqrt (fabs (- x y))))
15.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify80.0ms

Counts
138 → 138

prune216.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs (- x y)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
14×add-cube-cbrt *-un-lft-identity
13×pow1 associate-*r*
12×associate-*l*
10×cbrt-prod
8×add-exp-log add-cbrt-cube
6×pow-prod-down unswap-sqr
4×sqrt-pow1 add-log-exp
2×pow1/2 pow1/3 prod-exp *-commutative cbrt-unprod
1×sqrt-unprod
Counts
4 → 79
Calls
4 calls:
12.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
49.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
93.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
48.0ms
(cbrt (fabs (- x y)))
55.0ms
(cbrt (fabs (- x y)))

simplify62.0ms

Counts
91 → 91

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(pow (sqrt (fabs (- x y))) 3)
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (cbrt (pow (sqrt (fabs (- x y))) 3))))
22.6b
(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
109×sqrt-prod
73×add-sqr-sqrt
54×cbrt-prod
26×add-cube-cbrt *-un-lft-identity
24×unpow-prod-down cube-prod associate-*r* unswap-sqr
12×pow1
9×associate-*l*
7×add-exp-log sqrt-pow1 add-cbrt-cube
6×sqr-pow
5×pow1/2
4×add-log-exp
3×cube-mult pow-unpow pow-pow unpow3 pow-prod-down
2×rem-sqrt-square
1×pow-to-exp pow1/3 sqrt-unprod pow-exp prod-exp *-commutative sqrt-pow2 rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 149
Calls
4 calls:
3.0ms
(sqrt (sqrt (fabs (- x y))))
6.0ms
(pow (sqrt (fabs (- x y))) 3)
51.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (cbrt (pow (sqrt (fabs (- x y))) 3))))
4.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

series109.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (sqrt (fabs (- x y))))
27.0ms
(pow (sqrt (fabs (- x y))) 3)
14.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (cbrt (pow (sqrt (fabs (- x y))) 3))))
16.0ms
(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify42.0ms

Counts
161 → 161

prune339.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample515.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid