Details

Time bar (total: 2.2s)

analyze366.0ms (16.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 30 to 27 computations (10% saved)

sample26.0ms (1.2%)

Algorithm
intervals
Results
19.0ms256×body128valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify233.0ms (10.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
0483825
1483825

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 46 to 42 computations (8.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0b
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.1b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.1b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite147.0ms (6.6%)

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt_binary64_98
34×*-un-lft-identity_binary64_77
27×times-frac_binary64_83
18×difference-of-squares_binary64_46
16×add-cube-cbrt_binary64_109
12×pow1_binary64_135
10×add-exp-log_binary64_112
swap-sqr_binary64_44
add-cbrt-cube_binary64_110 add-log-exp_binary64_113 distribute-lft-out--_binary64_31 flip--_binary64_52 flip3--_binary64_81
associate-*l*_binary64_20 associate-*r*_binary64_19
frac-times_binary64_87 sub-neg_binary64_70
associate-/r*_binary64_23 associate-/l*_binary64_24
associate-*l/_binary64_22 associate-*r/_binary64_21 div-exp_binary64_125 associate-/r/_binary64_25 diff-log_binary64_166
pow2_binary64_155 pow-prod-down_binary64_145 pow-sqr_binary64_50 flip-+_binary64_51 cbrt-unprod_binary64_107 cbrt-undiv_binary64_108 1-exp_binary64_118 pow-plus_binary64_137 flip3-+_binary64_80 pow-prod-up_binary64_144 distribute-lft-in_binary64_28 rec-exp_binary64_124 inv-pow_binary64_159 unswap-sqr_binary64_45 prod-exp_binary64_123 *-commutative_binary64_10 clear-num_binary64_76 distribute-rgt-in_binary64_29 frac-2neg_binary64_88 pow-flip_binary64_148 div-inv_binary64_74
Counts
4 → 112
Calls

4 calls:

66.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
32.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
28.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
5.0ms
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

series147.0ms (6.6%)

Counts
4 → 12
Calls

4 calls:

63.0ms
(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
35.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
25.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify79.0ms (3.6%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049813989
149813989

prune278.0ms (12.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done000
Total1241125

Merged error: 0.0b

Counts
125 → 1
Compiler

Compiled 4538 to 3927 computations (13.5% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06843
16843

end0.0ms (0%)

sample929.0ms (41.8%)

Algorithm
intervals
Results
726.0ms8000×body128valid
Compiler

Compiled 88 to 80 computations (9.1% saved)

Profiling

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