Details

Time bar (total: 42.4s)

analyze4.7s (11.1%)

Algorithm
search
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
0%25%75%8
1.6%23.4%75%9
1.6%23.4%75%10
1.6%23.4%75%11
1.6%23.4%75%12
1.6%23.4%75%13
1.6%23.4%75%14
Compiler

Compiled 50 to 40 computations (20% saved)

sample7.0s (16.5%)

Algorithm
intervals
Results
5.3s406×body8192exit
676.0ms341×body1024overflowed
470.0ms2024×body128overflowed
190.0ms177×body512overflowed
83.0ms3306×pre128true
56.0ms102×body256overflowed
43.0msbody8192valid
35.0ms250×body128valid
6.0msbody4096valid
4.0msbody1024valid
2.0msbody512valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify215.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0501068

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.3b

Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
3.7b
(/.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)))

rewrite215.0ms (0.5%)

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:

58.0ms
(/.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)))))
9.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
9.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

series1.8s (4.2%)

Counts
4 → 12
Calls

4 calls:

1.5s
(/.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)))
104.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
104.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
59.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify252.0ms (0.6%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0498227612
1498227612

prune1.6s (3.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4974501
Fresh000
Picked101
Done000
Total4984502

Merged error: 0.1b

Counts
502 → 4
Compiler

Compiled 21775 to 13860 computations (36.3% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

rewrite13.0ms (0%)

Algorithm
rewrite-expression-head
Rules
cancel-sign-sub-inv_binary64_3795 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 pow1_binary64_3890 *-un-lft-identity_binary64_3829 add-sqr-sqrt_binary64_3851
associate-*r*_binary64_3769
add-cube-cbrt_binary64_3864 distribute-rgt-in_binary64_3779 distribute-lft-in_binary64_3778
pow-prod-down_binary64_3900 prod-exp_binary64_3878 cbrt-unprod_binary64_3862
associate-*r/_binary64_3771 sub-neg_binary64_3822
add-log-exp_binary64_3868 flip--_binary64_3804 flip3--_binary64_3833 difference-of-squares_binary64_3798 distribute-lft-out--_binary64_3781 *-commutative_binary64_3760 associate-*l*_binary64_3770
Counts
1 → 30
Calls

1 calls:

10.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

series73.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

73.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify53.0ms (0.1%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04918403
14918403

prune30.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33033
Fresh033
Picked011
Done000
Total33437

Merged error: 0.1b

Counts
37 → 4
Compiler

Compiled 561 to 376 computations (33% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.2b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.2b
(-.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)))))))

rewrite71.0ms (0.2%)

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:

29.0ms
(-.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)))))))
13.0ms
(-.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))))

series526.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

245.0ms
(-.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)))))))
122.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
80.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
79.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify76.0ms (0.2%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050523205

prune311.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh202
Picked101
Done101
Total1222124

Merged error: 0b

Counts
124 → 2
Compiler

Compiled 5947 to 3917 computations (34.1% saved)

localize29.0ms (0.1%)

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))))
0.1b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.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)))))))))
8.2b
(-.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)))))))

rewrite109.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt_binary64_3851
73×*-un-lft-identity_binary64_3829
44×log-prod_binary64_3915
36×associate-+r+_binary64_3761
33×associate--l+_binary64_3766
32×times-frac_binary64_3835
31×difference-of-squares_binary64_3798
30×cancel-sign-sub-inv_binary64_3795
23×add-cube-cbrt_binary64_3864
20×distribute-rgt-in_binary64_3779 distribute-lft-in_binary64_3778
14×distribute-lft-out--_binary64_3781
13×pow1_binary64_3890
11×associate--r+_binary64_3765
10×associate-*r/_binary64_3771 associate-*l*_binary64_3770
add-log-exp_binary64_3868 flip--_binary64_3804 flip3--_binary64_3833 log-div_binary64_3916
log-pow_binary64_3918
div-inv_binary64_3826 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 associate--r-_binary64_3768
flip3-+_binary64_3832 flip-+_binary64_3803
frac-add_binary64_3837 sub-neg_binary64_3822
distribute-rgt-neg-in_binary64_3787 distribute-lft-out_binary64_3780 distribute-lft-neg-in_binary64_3786 associate-*r*_binary64_3769
associate-/r/_binary64_3775 associate--l-_binary64_3767 associate-+l+_binary64_3762 diff-log_binary64_3921
distribute-lft-neg-out_binary64_3788 pow-prod-down_binary64_3900 unswap-sqr_binary64_3797 sum-log_binary64_3920 prod-exp_binary64_3878 +-commutative_binary64_3759 *-commutative_binary64_3760 neg-mul-1_binary64_3825 cbrt-unprod_binary64_3862
Counts
4 → 166
Calls

4 calls:

32.0ms
(-.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 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.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))))

series894.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

470.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.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)))))))))
249.0ms
(-.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)))))))
116.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
58.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify88.0ms (0.2%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049837053
149837053

prune494.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done000
Total1782180

Merged error: 0b

Counts
180 → 2
Compiler

Compiled 9164 to 6491 computations (29.2% saved)

regimes628.0ms (1.5%)

Compiler

Compiled 9179 to 7912 computations (13.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013542
113542

end0.0ms (0%)

sample23.2s (54.7%)

Algorithm
intervals
Results
18.0s1477×body8192exit
2.0s1082×body1024overflowed
1.5s6642×body128overflowed
577.0ms550×body512overflowed
258.0ms10851×pre128true
147.0msbody8192valid
146.0ms290×body256overflowed
109.0ms793×body128valid
6.0msbody4096valid
5.0msbody1024valid
4.0msbody512valid
2.0msbody256valid
Compiler

Compiled 50 to 44 computations (12% saved)

end0.0ms (0%)

Profiling

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