Details

Time bar (total: 2.5min)

analyze3.4s (2.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05111476
044
144
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
0%25%75%2
0%25%75%3
0%25%75%4
0%25%75%5
0%25%75%6
0%25%75%7
3.1%21.8%75%8
3.1%21.8%75%9
3.1%21.8%75%10
3.1%21.8%75%11
3.1%21.8%75%12
3.1%21.8%75%13
3.1%21.8%75%14
Compiler

Compiled 50 to 40 computations (20% saved)

sample12.7s (8.4%)

Algorithm
intervals
Results
11.2s474×body8192exit
549.0ms357×body1024overflowed
402.0ms2161×body128overflowed
186.0ms227×body512overflowed
100.0ms3577×pre128true
43.0ms101×body256overflowed
33.0ms247×body128valid
25.0msbody4096valid
4.0msbody2048overflowed
3.0msbody1024valid
2.0msbody512valid
0.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify68.0ms (0%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0503668

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
9.3b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.7b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.5b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
6.1b
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite175.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_3867
692×pow-exp_binary64_3897
684×prod-exp_binary64_3878
593×div-exp_binary64_3880
344×pow-to-exp_binary64_3898
116×1-exp_binary64_3873 rec-exp_binary64_3879
56×*-un-lft-identity_binary64_3829
41×times-frac_binary64_3835 add-sqr-sqrt_binary64_3851
36×unpow-prod-down_binary64_3908
30×add-cube-cbrt_binary64_3864
18×cancel-sign-sub-inv_binary64_3795
16×add-cbrt-cube_binary64_3865
distribute-lft-out_binary64_3780
pow1_binary64_3890
add-log-exp_binary64_3868 pow-pow_binary64_3901 associate-/r/_binary64_3775 difference-of-squares_binary64_3798 pow-unpow_binary64_3906
div-inv_binary64_3826
cbrt-undiv_binary64_3863 cbrt-unprod_binary64_3862
flip3-+_binary64_3832 flip-+_binary64_3803
distribute-lft-out--_binary64_3781 sqr-pow_binary64_3801 inv-pow_binary64_3914 pow-flip_binary64_3903
flip--_binary64_3804 flip3--_binary64_3833 clear-num_binary64_3828 associate-/l*_binary64_3774 associate-/r*_binary64_3773 frac-2neg_binary64_3840 sub-neg_binary64_3822 diff-log_binary64_3921
Counts
4 → 489
Calls

4 calls:

53.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
13.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series953.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

811.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
57.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
57.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
28.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify255.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0503827612

prune1.5s (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4983501
Fresh000
Picked101
Done000
Total4993502
Error
0.3b
Counts
502 → 3
Compiler

Compiled 21730 to 13822 computations (36.4% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.6b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
6.9b
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
6.9b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite61.0ms (0%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_3829
38×log-prod_binary64_3915 add-sqr-sqrt_binary64_3851
16×pow1_binary64_3890
15×associate--r+_binary64_3765 associate--l+_binary64_3766
14×difference-of-squares_binary64_3798
12×add-cube-cbrt_binary64_3864 distribute-lft-out--_binary64_3781 log-div_binary64_3916 log-pow_binary64_3918
cancel-sign-sub-inv_binary64_3795 times-frac_binary64_3835
add-exp-log_binary64_3867
flip3-+_binary64_3832 add-log-exp_binary64_3868 flip--_binary64_3804 flip-+_binary64_3803 add-cbrt-cube_binary64_3865 flip3--_binary64_3833 associate--l-_binary64_3767 distribute-lft-out_binary64_3780 associate--r-_binary64_3768
div-inv_binary64_3826 rem-log-exp_binary64_3870 sub-neg_binary64_3822 diff-log_binary64_3921
Counts
4 → 108
Calls

4 calls:

27.0ms
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series276.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

119.0ms
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
68.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
47.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
42.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify76.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052283205

prune297.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh202
Picked101
Done000
Total1212123
Error
0.1b
Counts
123 → 2
Compiler

Compiled 5947 to 3917 computations (34.1% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.0b
(*.f64 c_n (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))))
0.1b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.9b
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite97.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt_binary64_3851
79×*-un-lft-identity_binary64_3829
44×log-prod_binary64_3915
33×associate--l+_binary64_3766
32×times-frac_binary64_3835 difference-of-squares_binary64_3798
30×cancel-sign-sub-inv_binary64_3795
25×add-cube-cbrt_binary64_3864
19×distribute-rgt-in_binary64_3779 pow1_binary64_3890 distribute-lft-in_binary64_3778
18×distribute-lft-out--_binary64_3781
13×associate-*l*_binary64_3770
11×associate--r+_binary64_3765 associate-*r*_binary64_3769 log-pow_binary64_3918
add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 log-div_binary64_3916
flip--_binary64_3804 flip3--_binary64_3833
add-log-exp_binary64_3868 div-inv_binary64_3826 associate--r-_binary64_3768
associate-*r/_binary64_3771 sub-neg_binary64_3822
distribute-rgt-neg-in_binary64_3787 distribute-lft-out_binary64_3780 distribute-lft-neg-in_binary64_3786
flip3-+_binary64_3832 pow-prod-down_binary64_3900 unswap-sqr_binary64_3797 flip-+_binary64_3803 prod-exp_binary64_3878 associate-/r/_binary64_3775 associate--l-_binary64_3767 *-commutative_binary64_3760 cbrt-unprod_binary64_3862 diff-log_binary64_3921
distribute-lft-neg-out_binary64_3788 neg-mul-1_binary64_3825
Counts
4 → 174
Calls

4 calls:

27.0ms
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
25.0ms
(*.f64 c_n (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))))
13.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))

series399.0ms (0.3%)

Counts
4 → 12
Calls

4 calls:

192.0ms
(*.f64 c_n (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))))
121.0ms
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
59.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
27.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify97.0ms (0.1%)

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
056586198

prune548.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh011
Picked011
Done000
Total1862188
Error
0.1b
Counts
188 → 2
Compiler

Compiled 8954 to 6308 computations (29.6% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
0.7b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.6b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
6.9b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite35.0ms (0%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_3829
16×log-prod_binary64_3915
15×add-sqr-sqrt_binary64_3851
13×pow1_binary64_3890
11×add-cube-cbrt_binary64_3864
add-exp-log_binary64_3867 log-div_binary64_3916
log-pow_binary64_3918
cancel-sign-sub-inv_binary64_3795 add-cbrt-cube_binary64_3865
flip3-+_binary64_3832 add-log-exp_binary64_3868 flip-+_binary64_3803 distribute-lft-out--_binary64_3781 distribute-lft-out_binary64_3780 associate--r+_binary64_3765 associate--l+_binary64_3766
associate-*r*_binary64_3769 associate-*l*_binary64_3770 sub-neg_binary64_3822
flip--_binary64_3804 rem-log-exp_binary64_3870 flip3--_binary64_3833 distribute-rgt-in_binary64_3779 associate--l-_binary64_3767 associate-*r/_binary64_3771 distribute-lft-in_binary64_3778 associate--r-_binary64_3768
pow-prod-down_binary64_3900 unswap-sqr_binary64_3797 prod-exp_binary64_3878 difference-of-squares_binary64_3798 *-commutative_binary64_3760 cbrt-unprod_binary64_3862 diff-log_binary64_3921
Counts
4 → 86
Calls

4 calls:

12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series214.0ms (0.1%)

Counts
4 → 12
Calls

4 calls:

64.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
58.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
48.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
44.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify72.0ms (0%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049322002
149322002

prune166.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done011
Total982100
Error
0.1b
Counts
100 → 2
Compiler

Compiled 3671 to 2337 computations (36.3% saved)

regimes569.0ms (0.4%)

Compiler

Compiled 8672 to 7434 computations (14.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015142
115142

end0.0ms (0%)

sample2.1min (85.3%)

Algorithm
intervals
Results
1.9min5077×body8192exit
5.6s3840×body1024overflowed
4.1s23180×body128overflowed
1.6s2104×body512overflowed
925.0ms38071×pre128true
432.0ms1062×body256overflowed
325.0ms2728×body128valid
99.0msbody8192valid
66.0ms11×body4096valid
42.0ms26×body1024valid
17.0msbody2048valid
13.0ms18×body512valid
4.0msbody2048overflowed
3.0msbody256valid
1.0msbody128invalid
1.0msbody512invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

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