Details

Time bar (total: 13.3s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
285
done85

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

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:
2.0ms
(sqrt (fabs (- x y)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(sqrt (fabs (- x y)))

simplify2.0s

Counts
18 → 18
Iterations

Useful iterations: 2 (8.0ms)

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

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))))

rewrite54.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
4.0ms
(sqrt (sqrt (fabs (- x y))))
4.0ms
(sqrt (sqrt (fabs (- x y))))
36.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (fabs (- x y)))
51.0ms
(sqrt (sqrt (fabs (- x y))))
77.0ms
(sqrt (sqrt (fabs (- x y))))
17.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify1.7s

Counts
146 → 146
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0871894
11321111
22801050
35531028
411561008
done5001990

prune217.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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)))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite90.0ms

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×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
2×pow1/2 pow1/3 prod-exp *-commutative cbrt-unprod
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
22.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
62.0ms
(* (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)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
85.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
57.0ms
(cbrt (fabs (- x y)))
71.0ms
(cbrt (fabs (- x y)))

simplify4.7s

Counts
99 → 99
Iterations

Useful iterations: 3 (571.0ms)

IterNodesCost
01031705
11831604
25271497
313301491
440101491
done50011491

prune419.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (fabs (- x y))))
0.6b
(cbrt (sqrt (fabs (- x y))))
0.9b
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
51×sqrt-prod
48×cbrt-prod
36×unpow-prod-down
21×add-cube-cbrt *-un-lft-identity
18×unswap-sqr
16×associate-*l*
10×add-exp-log
9×associate-*r*
6×pow1
5×add-cbrt-cube sqr-pow
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×pow-unpow pow1/3 prod-exp
2×pow-to-exp sqrt-pow1 pow-exp
1×pow1/2 *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 121
Calls
4 calls:
60.0ms
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
16.0ms
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

series196.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
49.0ms
(cbrt (sqrt (fabs (- x y))))
59.0ms
(cbrt (sqrt (fabs (- x y))))
76.0ms
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

simplify1.6s

Counts
133 → 133
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01222240
12342084
25111700
313821595
done50011519

prune399.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes156.0ms

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

sample935.0ms

Algorithm
intervals
Results
682.0ms8000×body80valid