Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
183
283

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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:
1.0ms
(sqrt (fabs (- x y)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(sqrt (fabs (- x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 7 (28.0ms)

IterNodesCost
02664
13062
23362
33862
45762
511162
653862
7177061
8500161

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))))
0.6b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite24.0ms

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:
1.0ms
(sqrt (fabs (- x y)))
1.0ms
(sqrt (sqrt (fabs (- x y))))
1.0ms
(sqrt (sqrt (fabs (- x y))))
16.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
47.0ms
(sqrt (sqrt (fabs (- x y))))
41.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify144.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0131718
1513658
22953642
35002627

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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)

rewrite33.0ms

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×pow-pow 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 → 113
Calls
4 calls:
20.0ms
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (fabs (- x y))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
4.0ms
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

series167.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
43.0ms
(cbrt (sqrt (fabs (- x y))))
57.0ms
(cbrt (sqrt (fabs (- x y))))
53.0ms
(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

simplify43.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02231446
18441268
250001098

prune271.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-prod
36×cbrt-prod
30×unpow-prod-down
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1 pow-pow
6×add-exp-log pow-unpow
4×sqrt-pow1 pow1/3 add-cbrt-cube add-log-exp
2×pow-to-exp pow1/2 pow-exp sqrt-pow2 sqr-pow
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
5.0ms
(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
5.0ms
(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

series206.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
44.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
59.0ms
(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
59.0ms
(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

simplify114.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
01691102
1488974
22095912
35001906

prune341.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053

end0.0ms

sample344.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid