Details

Time bar (total: 2.1s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×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

localize4.0ms

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 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)))

simplify92.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 7 (26.0ms)

IterNodesCost
02664
13062
23362
33862
45762
511162
653862
7177061
8500161

prune33.0ms

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

rewrite19.0ms

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)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
2.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
41.0ms
(sqrt (sqrt (fabs (- x y))))
44.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify147.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0131718
1513658
22953642
35002627

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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

rewrite20.0ms

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:
6.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
10.0ms
(* (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)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
61.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
39.0ms
(cbrt (fabs (- x y)))
43.0ms
(cbrt (fabs (- x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
01781070
16881004
22071998
35001993

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×cbrt-prod associate-*r*
9×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 69
Calls
4 calls:
6.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
7.0ms
(* (sqrt (fabs (- x y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y))))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
66.0ms
(* (sqrt (fabs (- x y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y))))))
41.0ms
(cbrt (fabs (- x y)))
45.0ms
(cbrt (fabs (- x y)))

simplify106.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0176848
1681754
23402748
35001743

prune221.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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

sample258.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid