Details

Time bar (total: 2.6s)

analyze13.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample51.0ms (2%)

Algorithm
intervals
Results
30.0ms121×body1024valid
8.0ms63×body512valid
3.0ms12×body2048valid
3.0ms35×body256valid
1.0ms25×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify165.0ms (6.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0479722
1479722

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.4b
Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.3b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_2806
30×add-sqr-sqrt_binary64_2828 times-frac_binary64_2812
16×add-cube-cbrt_binary64_2841
cosh-undef_binary64_3000 distribute-lft-out_binary64_2757 sinh-undef_binary64_2999 distribute-lft-out--_binary64_2758 difference-of-squares_binary64_2775
associate-/l*_binary64_2751
associate-/r*_binary64_2750
add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-log-exp_binary64_2845
cancel-sign-sub-inv_binary64_2772
associate-/l/_binary64_2753 flip3--_binary64_2810 flip--_binary64_2781 associate-/r/_binary64_2752 pow1_binary64_2867
tanh-undef_binary64_3001 div-inv_binary64_2803 div-exp_binary64_2857 cbrt-undiv_binary64_2840 div-sub_binary64_2811 diff-log_binary64_2898 sub-neg_binary64_2799 flip-+_binary64_2780 flip3-+_binary64_2809 clear-num_binary64_2805 frac-2neg_binary64_2817
Counts
2 → 76
Calls

2 calls:

12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series160.0ms (6.2%)

Counts
2 → 12
Calls

2 calls:

105.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
55.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 262 to 218 computations (16.8% saved)

simplify81.0ms (3.1%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049212254
149212254

prune69.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh000
Picked101
Done000
Total87289
Error
0b
Counts
89 → 2
Compiler

Compiled 1766 to 398 computations (77.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite1.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2828 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 tanh-def-b_binary64_2994 *-un-lft-identity_binary64_2806 tanh-def-a_binary64_2993 add-log-exp_binary64_2845 add-cube-cbrt_binary64_2841 tanh-def-c_binary64_2995 pow1_binary64_2867
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series63.0ms (2.4%)

Counts
1 → 6
Calls

1 calls:

62.0ms
(tanh.f64 x)
Compiler

Compiled 92 to 82 computations (10.9% saved)

simplify35.0ms (1.4%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04941197
14941197

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done000
Total16218
Error
0b
Counts
18 → 2
Compiler

Compiled 149 to 98 computations (34.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

1.7b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2828 times-frac_binary64_2812 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 associate-/r*_binary64_2750 associate-/l*_binary64_2751
associate-/l/_binary64_2753 cosh-def_binary64_2992 div-inv_binary64_2803 div-exp_binary64_2857 cbrt-undiv_binary64_2840 add-log-exp_binary64_2845 clear-num_binary64_2805 associate-/r/_binary64_2752 pow1_binary64_2867 frac-2neg_binary64_2817 sinh-def_binary64_2991
Counts
1 → 29
Calls

1 calls:

4.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))

series140.0ms (5.4%)

Counts
1 → 6
Calls

1 calls:

140.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
Compiler

Compiled 120 to 102 computations (15% saved)

simplify55.0ms (2.1%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
06208534

prune21.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh000
Picked011
Done011
Total35237
Error
0b
Counts
37 → 2
Compiler

Compiled 398 to 144 computations (63.8% saved)

regimes21.0ms (0.8%)

Accuracy

Total 0.0b remaining (78%)

Threshold costs 0.0b (78%)

Compiler

Compiled 106 to 74 computations (30.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.7s (64.2%)

Algorithm
intervals
Results
982.0ms3894×body1024valid
254.0ms1984×body512valid
106.0ms378×body2048valid
73.0ms950×body256valid
32.0ms794×body128valid
0.0msbody128overflowed
Compiler

Compiled 55 to 40 computations (27.3% saved)

Profiling

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