Details

Time bar (total: 51.7s)

analyze4.4s (8.4%)

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)

sample8.8s (17.1%)

Algorithm
intervals
Results
6.9s526×body8192exit
769.0ms396×body1024overflowed
520.0ms2310×body128overflowed
199.0ms184×body512overflowed
99.0ms3753×pre128true
58.0msbody8192valid
43.0ms80×body256overflowed
34.0ms251×body128valid
7.0msbody2048overflowed
3.0msbody1024valid
1.0msbody512valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify225.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0501068

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
0.3b
(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)
2.4b
(/.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)))

rewrite192.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
1196×add-exp-log_binary64_2844
692×pow-exp_binary64_2874
684×prod-exp_binary64_2855
595×div-exp_binary64_2857
344×pow-to-exp_binary64_2875
117×1-exp_binary64_2850 rec-exp_binary64_2856
51×*-un-lft-identity_binary64_2806
37×times-frac_binary64_2812
36×unpow-prod-down_binary64_2885
31×add-sqr-sqrt_binary64_2828 add-cube-cbrt_binary64_2841
18×add-cbrt-cube_binary64_2842
10×distribute-lft-out_binary64_2757
pow1_binary64_2867
pow-pow_binary64_2878 pow-unpow_binary64_2883 associate-/r/_binary64_2752
cbrt-undiv_binary64_2840 associate-/r*_binary64_2750
div-inv_binary64_2803 cbrt-unprod_binary64_2839 add-log-exp_binary64_2845 associate-/l*_binary64_2751
pow-flip_binary64_2880 flip-+_binary64_2780 flip3-+_binary64_2809 inv-pow_binary64_2891
sqr-pow_binary64_2778 clear-num_binary64_2805 frac-2neg_binary64_2817
Counts
4 → 489
Calls

4 calls:

55.0ms
(/.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)))
15.0ms
(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)
7.0ms
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))

series1.9s (3.6%)

Counts
4 → 12
Calls

4 calls:

1.6s
(/.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)))
115.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
111.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
49.0ms
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify230.0ms (0.4%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0532927436

prune1.5s (2.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4974501
Fresh000
Picked101
Done000
Total4984502

Merged error: 0b

Counts
502 → 4
Compiler

Compiled 21784 to 13865 computations (36.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2828 cancel-sign-sub-inv_binary64_2772 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 *-un-lft-identity_binary64_2806 pow1_binary64_2867
associate-*r*_binary64_2746
distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 add-cube-cbrt_binary64_2841
prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877
sub-neg_binary64_2799 associate-*r/_binary64_2748
associate-*l*_binary64_2747 *-commutative_binary64_2737 flip3--_binary64_2810 distribute-lft-out--_binary64_2758 add-log-exp_binary64_2845 flip--_binary64_2781 difference-of-squares_binary64_2775
Counts
1 → 30
Calls

1 calls:

9.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

series80.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

80.0ms
(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify58.0ms (0.1%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04918403
14918403

prune28.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33033
Fresh033
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4
Compiler

Compiled 563 to 378 computations (32.9% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.5b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
9.5b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
9.5b
(-.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)))))))

rewrite66.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_2806
38×add-sqr-sqrt_binary64_2828 log-prod_binary64_2892
16×pow1_binary64_2867
15×associate--l+_binary64_2743 associate--r+_binary64_2742
14×difference-of-squares_binary64_2775
12×log-div_binary64_2893 distribute-lft-out--_binary64_2758 add-cube-cbrt_binary64_2841 log-pow_binary64_2895
cancel-sign-sub-inv_binary64_2772 times-frac_binary64_2812
add-exp-log_binary64_2844
distribute-lft-out_binary64_2757 add-cbrt-cube_binary64_2842 flip3--_binary64_2810 associate--l-_binary64_2744 associate--r-_binary64_2745 flip-+_binary64_2780 add-log-exp_binary64_2845 flip--_binary64_2781 flip3-+_binary64_2809
div-inv_binary64_2803 diff-log_binary64_2898 rem-log-exp_binary64_2847 sub-neg_binary64_2799
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)))))))
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
5.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series576.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

256.0ms
(-.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)))))))
137.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
93.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
90.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify78.0ms (0.2%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050523205

prune303.0ms (0.6%)

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)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
0.0b
(log.f64 (-.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)))))))))
9.5b
(-.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)))))))

rewrite103.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64_2828
73×*-un-lft-identity_binary64_2806
55×log-prod_binary64_2892
36×associate-+r+_binary64_2738
33×associate--l+_binary64_2743
32×times-frac_binary64_2812
31×difference-of-squares_binary64_2775
21×add-cube-cbrt_binary64_2841
19×distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756
14×distribute-lft-out--_binary64_2758
13×pow1_binary64_2867
12×cancel-sign-sub-inv_binary64_2772
11×associate--r+_binary64_2742
10×log-div_binary64_2893
add-exp-log_binary64_2844
flip3--_binary64_2810 flip--_binary64_2781 associate-*r/_binary64_2748 log-pow_binary64_2895
div-inv_binary64_2803 add-cbrt-cube_binary64_2842 associate--r-_binary64_2745 add-log-exp_binary64_2845
distribute-lft-out_binary64_2757 associate-/r*_binary64_2750 flip-+_binary64_2780 frac-add_binary64_2814 flip3-+_binary64_2809
sub-neg_binary64_2799 associate-/l*_binary64_2751
div-exp_binary64_2857 associate-+l+_binary64_2739 associate--l-_binary64_2744 associate-/r/_binary64_2752
1-exp_binary64_2850 pow-flip_binary64_2880 rec-exp_binary64_2856 cbrt-undiv_binary64_2840 diff-log_binary64_2898 rem-log-exp_binary64_2847 sum-log_binary64_2897 inv-pow_binary64_2891 clear-num_binary64_2805 frac-2neg_binary64_2817 +-commutative_binary64_2736
Counts
4 → 158
Calls

4 calls:

28.0ms
(-.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)))))))
24.0ms
(+.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)))))))))
12.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
12.0ms
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))

series973.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

489.0ms
(+.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)))))))))
263.0ms
(-.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)))))))
176.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
45.0ms
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify116.0ms (0.2%)

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049486738
149486738

prune542.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1691170
Fresh101
Picked101
Done000
Total1711172

Merged error: 0b

Counts
172 → 1
Compiler

Compiled 8820 to 6278 computations (28.8% saved)

regimes583.0ms (1.1%)

Compiler

Compiled 8375 to 7391 computations (11.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015142
115142

end0.0ms (0%)

sample30.9s (59.7%)

Algorithm
intervals
Results
24.1s1997×body8192exit
2.8s1517×body1024overflowed
1.9s8972×body128overflowed
761.0ms749×body512overflowed
357.0ms14621×pre128true
185.0ms368×body256overflowed
129.0ms1002×body128valid
69.0msbody8192valid
11.0msbody1024valid
10.0msbody4096valid
7.0msbody2048overflowed
3.0msbody512valid
2.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

end0.0ms (0%)

Profiling

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