Details

Time bar (total: 3.5s)

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

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body128valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

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

localize12.0ms

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)))
0.1b
(*.f64 3 (*.f64 v v))

rewrite52.0ms

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:
18.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
14.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))

series297.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
156.0ms
(*.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))

simplify56.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
049323271
149323271

prune138.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
0.1b
(*.f64 3 (*.f64 v v))
3.0b
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
26×associate-*l*_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
21×sqrt-prod_binary64
18×pow1_binary64 frac-times_binary64
16×associate-*r*_binary64 sqrt-div_binary64
14×flip3--_binary64 flip--_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
5×add-log-exp_binary64
4×log-pow_binary64 difference-of-squares_binary64
3×log-prod_binary64 *-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 distribute-lft-out--_binary64 div-exp_binary64
1×rem-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64 exp-to-pow_binary64 exp-prod_binary64
Counts
4 → 130
Calls
4 calls:
16.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
17.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
2.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
415.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))) (-.f64 1 (*.f64 v v)))
33.0ms
(*.f64 3 (*.f64 v v))
148.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

simplify92.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049213323
149213323

prune150.0ms

Filtered
98 candidates to 142 candidates (-44.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done000
Total1423145

Merged error: 0b

Counts
145 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (sqrt.f64 2) (-.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/32) 1/4) (*.f64 (*.f64 v v) 5/8)))
0.1b
(*.f64 (pow.f64 v 4) 3/32)
0.1b
(*.f64 (*.f64 v v) 5/8)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
15×add-exp-log_binary64
14×associate-*l*_binary64
12×add-cbrt-cube_binary64
10×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64
9×associate-*r*_binary64
7×prod-exp_binary64
6×unswap-sqr_binary64
5×cbrt-unprod_binary64
4×pow-prod-down_binary64 unpow-prod-down_binary64 sqrt-prod_binary64
3×add-log-exp_binary64 *-commutative_binary64
2×sub-neg_binary64 associate-*r/_binary64 sqr-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate--l+_binary64
1×pow-to-exp_binary64 flip3--_binary64 flip--_binary64 pow-exp_binary64
Counts
3 → 72
Calls
3 calls:
12.0ms
(*.f64 (sqrt.f64 2) (-.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/32) 1/4) (*.f64 (*.f64 v v) 5/8)))
5.0ms
(*.f64 (pow.f64 v 4) 3/32)
6.0ms
(*.f64 (*.f64 v v) 5/8)

series164.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(*.f64 (sqrt.f64 2) (-.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/32) 1/4) (*.f64 (*.f64 v v) 5/8)))
46.0ms
(*.f64 (pow.f64 v 4) 3/32)
34.0ms
(*.f64 (*.f64 v v) 5/8)

simplify47.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049931322
149931322

prune69.0ms

Filtered
52 candidates to 81 candidates (-55.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done011
Total81384

Merged error: 0b

Counts
84 → 3

localize13.0ms

Local error

Found 4 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 v 1))
0.0b
(*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
0.1b
(*.f64 3 (*.f64 v v))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times_binary64
52×sqrt-div_binary64
50×associate-*l/_binary64
44×flip3--_binary64 flip--_binary64
42×add-sqr-sqrt_binary64
37×add-exp-log_binary64 add-cbrt-cube_binary64
36×associate-*r/_binary64
27×*-un-lft-identity_binary64 associate-*l*_binary64
25×pow1_binary64
24×flip3-+_binary64 flip-+_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
19×cbrt-unprod_binary64 prod-exp_binary64
17×associate-*r*_binary64 sqrt-prod_binary64
13×pow-prod-down_binary64
7×unswap-sqr_binary64
4×add-log-exp_binary64 *-commutative_binary64
3×cbrt-undiv_binary64 div-exp_binary64
2×sub-neg_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64
1×distribute-lft-out_binary64 distribute-lft-out--_binary64 div-inv_binary64
Counts
4 → 192
Calls
4 calls:
13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
18.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (+.f64 v 1))
23.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
6.0ms
(*.f64 3 (*.f64 v v))

series374.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
72.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (+.f64 v 1))
168.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
36.0ms
(*.f64 3 (*.f64 v v))

simplify102.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051366940

prune298.0ms

Filtered
152 candidates to 204 candidates (-34.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2040204
Fresh000
Picked011
Done022
Total2043207

Merged error: 0b

Counts
207 → 3

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04633
14633

end0.0ms

sample495.0ms

Algorithm
intervals
Results
389.0ms8000×body128valid

Profiling

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