Details

Time bar (total: 3.1s)

analyze9.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×pre80true
2.0ms256×body80valid
Compiler

Compiled 51 to 43 computations (15.7% saved)

simplify241.0ms (7.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0486164
1486164

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 58.1b

Counts
2 → 1
Compiler

Compiled 86 to 66 computations (23.3% saved)

localize29.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.0b
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
1.0b
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
1.0b
(*.f64 11/2 (pow.f64 y 8))
62.0b
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))

rewrite273.0ms (8.8%)

Algorithm
rewrite-expression-head
Rules
20×add-log-exp_binary64
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-exp-log_binary64 sum-log_binary64
associate-*r*_binary64 add-cube-cbrt_binary64
add-cbrt-cube_binary64
pow1_binary64 unpow-prod-down_binary64 insert-posit16
flip3-+_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64
frac-add_binary64 associate-+l+_binary64 sqr-pow_binary64 +-commutative_binary64
pow-to-exp_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 flip--_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 70
Calls

4 calls:

220.0ms
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
30.0ms
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
14.0ms
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
7.0ms
(*.f64 11/2 (pow.f64 y 8))

series776.0ms (24.9%)

Counts
4 → 12
Calls

4 calls:

255.0ms
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
244.0ms
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
206.0ms
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
71.0ms
(*.f64 11/2 (pow.f64 y 8))

simplify119.0ms (3.8%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049753570
149753570

prune215.0ms (6.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New81182
Fresh000
Picked101
Done000
Total82183

Merged error: 56.8b

Counts
83 → 1
Compiler

Compiled 4527 to 3204 computations (29.2% saved)

localize29.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.0b
(+.f64 (posit16->binary64 (binary64->posit16 (+.f64 (*.f64 11/2 (pow.f64 y 8)) (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2)))))) (/.f64 x (*.f64 2 y)))
1.0b
(*.f64 11/2 (pow.f64 y 8))
1.0b
(-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6))
62.0b
(+.f64 (*.f64 11/2 (pow.f64 y 8)) (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))))

rewrite56.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
13×add-log-exp_binary64
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-exp-log_binary64
associate-*r*_binary64 add-cube-cbrt_binary64
add-cbrt-cube_binary64
pow1_binary64 unpow-prod-down_binary64 insert-posit16 sum-log_binary64
associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
flip3-+_binary64 sqr-pow_binary64 +-commutative_binary64 flip-+_binary64
pow-to-exp_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 flip--_binary64 associate-+r+_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 65
Calls

4 calls:

27.0ms
(+.f64 (*.f64 11/2 (pow.f64 y 8)) (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))))
14.0ms
(-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6))
7.0ms
(*.f64 11/2 (pow.f64 y 8))
6.0ms
(+.f64 (posit16->binary64 (binary64->posit16 (+.f64 (*.f64 11/2 (pow.f64 y 8)) (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2)))))) (/.f64 x (*.f64 2 y)))

series531.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

224.0ms
(+.f64 (*.f64 11/2 (pow.f64 y 8)) (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))))
152.0ms
(+.f64 (posit16->binary64 (binary64->posit16 (+.f64 (*.f64 11/2 (pow.f64 y 8)) (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2)))))) (/.f64 x (*.f64 2 y)))
83.0ms
(-.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 x 11)))) (pow.f64 y 6))
72.0ms
(*.f64 11/2 (pow.f64 y 8))

simplify117.0ms (3.8%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
050013022

prune223.0ms (7.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done000
Total77178

Merged error: 56.8b

Counts
78 → 1
Compiler

Compiled 4272 to 3063 computations (28.3% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
08868
18868

end0.0ms (0%)

sample466.0ms (15%)

Algorithm
intervals
Results
154.0ms8000×pre80true
73.0ms8000×body80valid
Compiler

Compiled 98 to 80 computations (18.4% saved)

Profiling

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