Details

Time bar (total: 19.9s)

analyze594.0ms (3%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0489225
1489225
011
111
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)

sample46.0ms (0.2%)

Algorithm
1×intervals
Results
33.0ms256×body128valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify68.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0489225
1489225

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 46 to 42 computations (8.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.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)))))
2.4b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.4b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite2.8s (13.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
577×times-frac_binary64_766
476×*-un-lft-identity_binary64_760
316×add-sqr-sqrt_binary64_782
284×cancel-sign-sub-inv_binary64_726
260×add-cube-cbrt_binary64_795
132×distribute-lft-out_binary64_711
97×div-inv_binary64_757
72×distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709
18×difference-of-squares_binary64_729
13×associate-/l*_binary64_705
11×pow1_binary64_821 add-exp-log_binary64_798 add-cbrt-cube_binary64_796
10×associate-/r/_binary64_706
9×swap-sqr_binary64_727
8×add-log-exp_binary64_799 flip3--_binary64_764 flip--_binary64_735 distribute-lft-out--_binary64_712
7×associate-*l*_binary64_701 associate-*r*_binary64_700
5×flip3-+_binary64_763 flip-+_binary64_734 associate-/r*_binary64_704
4×sub-neg_binary64_753 frac-times_binary64_770
3×div-exp_binary64_811 cbrt-undiv_binary64_794
2×diff-log_binary64_852 associate-*l/_binary64_703 associate-*r/_binary64_702
1×pow2_binary64_841 pow-prod-down_binary64_831 pow-prod-up_binary64_830 pow-plus_binary64_823 prod-exp_binary64_809 cbrt-unprod_binary64_793 pow-sqr_binary64_733 unswap-sqr_binary64_728 *-commutative_binary64_691 frac-2neg_binary64_771 clear-num_binary64_759 associate-/l/_binary64_707
Counts
4 → 463
Calls

4 calls:

86.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
45.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
35.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
17.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 21740 to 18363 computations (15.5% saved)

series223.0ms (1.1%)

Error
0.0b
Counts
4 → 48
Calls

4 calls:

41.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
40.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
39.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
36.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 2676 to 2397 computations (10.4% saved)

simplify241.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
511 → 511
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0495518881
1495518881

prune2.9s (14.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New5101511
Fresh000
Picked011
Done000
Total5102512
Error
0b
Counts
512 → 2
Compiler

Compiled 20661 to 17270 computations (16.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.4b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.4b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.4b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite5.5s (27.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
452×times-frac_binary64_766
364×*-un-lft-identity_binary64_760
284×cancel-sign-sub-inv_binary64_726
236×add-sqr-sqrt_binary64_782
200×add-cube-cbrt_binary64_795
104×distribute-lft-out_binary64_711
76×div-inv_binary64_757
12×add-log-exp_binary64_799 difference-of-squares_binary64_729
8×associate-/r/_binary64_706
4×diff-log_binary64_852 pow1_binary64_821 add-exp-log_binary64_798 add-cbrt-cube_binary64_796 flip3--_binary64_764 sub-neg_binary64_753 flip--_binary64_735 flip3-+_binary64_763 flip-+_binary64_734 distribute-lft-out--_binary64_712
Counts
4 → 344
Calls

4 calls:

53.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
48.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
46.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
46.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 32376 to 27340 computations (15.6% saved)

series545.0ms (2.7%)

Error
0b
Counts
4 → 48
Calls

4 calls:

93.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
75.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
65.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
63.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 7744 to 6657 computations (14% saved)

simplify159.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049509212
149509212

prune4.9s (24.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3920392
Fresh000
Picked011
Done011
Total3922394
Error
0b
Counts
394 → 2
Compiler

Compiled 33772 to 28374 computations (16% saved)

regimes246.0ms (1.2%)

Accuracy

Total 0.0b remaining (92%)

Threshold costs 0.0b (92%)

Compiler

Compiled 3449 to 3085 computations (10.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06843
16843

end0.0ms (0%)

sample1.7s (8.4%)

Algorithm
1×intervals
Results
795.0ms8000×body128valid
Compiler

Compiled 516 to 463 computations (10.3% saved)

Profiling

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