Details

Time bar (total: 2.4s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample17.0ms

Algorithm
intervals
Results
12.0ms256×body128valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0498129
1498129

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
26×associate-*l*_binary64
22×add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
21×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64
18×frac-times_binary64
17×sqrt-prod_binary64
16×sqrt-div_binary64
15×pow1_binary64
14×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
3×add-log-exp_binary64 *-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64
Counts
3 → 112
Calls
3 calls:
15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
17.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
8.0ms
(*.f64 3 (*.f64 v v))

series317.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
174.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
34.0ms
(*.f64 3 (*.f64 v v))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049323271
149323271

prune141.0ms

Filtered
87 candidates to 121 candidates (-39.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.2b
(*.f64 3 (*.f64 v v))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*_binary64
26×add-sqr-sqrt_binary64
22×add-exp-log_binary64 add-cbrt-cube_binary64
21×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64 frac-times_binary64
18×flip3--_binary64 times-frac_binary64 flip--_binary64 sqrt-div_binary64
15×pow1_binary64
14×associate-*r/_binary64
13×sqrt-prod_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
7×pow-prod-down_binary64 associate-*r*_binary64 associate-*l/_binary64
6×sub-neg_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64
3×add-log-exp_binary64 unswap-sqr_binary64 *-commutative_binary64
2×cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×div-inv_binary64
Counts
3 → 115
Calls
3 calls:
11.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
18.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
7.0ms
(*.f64 3 (*.f64 v v))

series292.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v)))
167.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
34.0ms
(*.f64 3 (*.f64 v v))

simplify60.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
054303524

prune145.0ms

Filtered
90 candidates to 124 candidates (-37.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done000
Total1242126

Merged error: 0b

Counts
126 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-div_binary64
58×frac-times_binary64
31×sqrt-prod_binary64 associate-*l/_binary64
30×associate-*r/_binary64
29×associate-*l*_binary64
28×flip3--_binary64 flip--_binary64
25×pow1_binary64
22×add-exp-log_binary64 add-cbrt-cube_binary64
21×add-sqr-sqrt_binary64
20×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
18×times-frac_binary64
16×pow-prod-down_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
7×associate-*r*_binary64
3×add-log-exp_binary64 pow1/2_binary64 sqrt-pow1_binary64 *-commutative_binary64
2×sub-neg_binary64 sqrt-unprod_binary64 difference-of-squares_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 div-inv_binary64
Counts
3 → 133
Calls
3 calls:
28.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
23.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

series299.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
35.0ms
(*.f64 3 (*.f64 v v))
121.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

simplify71.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053114539

prune184.0ms

Filtered
106 candidates to 142 candidates (-34.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done011
Total1422144

Merged error: 0b

Counts
144 → 2

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05429
15429

end0.0ms

sample492.0ms

Algorithm
intervals
Results
396.0ms8000×body128valid
0.0ms2×body128nan

Profiling

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