Details

Time bar (total: 7.6s)

analyze509.0ms (6.7%)

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)

sample27.0ms (0.4%)

Algorithm
1×intervals
Results
18.0ms256×body128valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0489225
1489225

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 63 to 58 computations (7.9% saved)

localize11.0ms (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)))))
1.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.7b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite2.4s (31.4%)

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:

67.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
33.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
30.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
12.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
Compiler

Compiled 21740 to 18363 computations (15.5% saved)

series231.0ms (3%)

Error
0b
Counts
4 → 48
Calls

4 calls:

45.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
41.0ms
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
39.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
38.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
Compiler

Compiled 2676 to 2397 computations (10.4% saved)

simplify215.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
511 → 511
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0495518881
1495518881

prune2.1s (27.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New5110511
Fresh011
Picked011
Done000
Total5112513
Error
0b
Counts
513 → 2
Compiler

Compiled 20598 to 17217 computations (16.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b
(/.f64 4 (+.f64 1 t))
0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite253.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
70×*-un-lft-identity_binary64_760
40×times-frac_binary64_766
32×add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782
19×distribute-lft-out_binary64_711
12×add-exp-log_binary64_798 associate-/r*_binary64_704
10×add-cbrt-cube_binary64_796 associate-/l*_binary64_705
6×add-log-exp_binary64_799 associate-/r/_binary64_706
5×pow1_binary64_821 flip3-+_binary64_763 flip-+_binary64_734
4×div-exp_binary64_811
3×cbrt-undiv_binary64_794 frac-2neg_binary64_771 clear-num_binary64_759 div-inv_binary64_757
2×associate-/l/_binary64_707
1×sum-log_binary64_851 +-commutative_binary64_690 inv-pow_binary64_845 pow-flip_binary64_834 1-exp_binary64_804 rec-exp_binary64_810
Counts
4 → 122
Calls

4 calls:

21.0ms
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
15.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
10.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
5.0ms
(/.f64 4 (+.f64 1 t))
Compiler

Compiled 3345 to 2963 computations (11.4% saved)

series201.0ms (2.6%)

Error
0b
Counts
4 → 48
Calls

4 calls:

45.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
41.0ms
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
33.0ms
(/.f64 4 (+.f64 1 t))
29.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
Compiler

Compiled 1898 to 1723 computations (9.2% saved)

simplify94.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048573272
148573272

prune244.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh000
Picked011
Done011
Total1702172
Error
0b
Counts
172 → 2
Compiler

Compiled 3879 to 3357 computations (13.5% saved)

regimes198.0ms (2.6%)

Accuracy

Total 0.0b remaining (89.6%)

Threshold costs 0.0b (89.6%)

Compiler

Compiled 1825 to 1727 computations (5.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06843
16843

end0.0ms (0%)

sample1.0s (13.7%)

Algorithm
1×intervals
Results
550.0ms8000×body128valid
Compiler

Compiled 284 to 269 computations (5.3% saved)

Profiling

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