Details

Time bar (total: 1.7s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

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

localize7.0ms

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)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(sqrt (fabs (- x y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 7 (26.0ms)

IterNodesCost
02664
13062
23362
33862
45762
511162
653862
7177061
8500161

prune25.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))))

rewrite22.0ms

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))))
14.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
42.0ms
(sqrt (sqrt (fabs (- x y))))
39.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify153.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0131718
1513658
22953642
35002627

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×cbrt-prod
17×add-cube-cbrt
16×add-sqr-sqrt *-un-lft-identity
15×pow1 pow1/3
13×add-exp-log
9×associate-*r* add-cbrt-cube
8×pow-prod-up
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 83
Calls
4 calls:
80.0ms
(* (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
3.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
39.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
43.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
39.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
01771257
1654960
24659708
35003653

prune207.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes146.0ms

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

sample392.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid