Details

Time bar (total: 2.5min)

analyze3.3s (2.2%)

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
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)

sample12.5s (8.3%)

Algorithm
intervals
Results
11.1s478×body8192exit
515.0ms351×body1024overflowed
403.0ms2151×body128overflowed
138.0ms171×body512overflowed
97.0ms3495×pre128true
55.0msbody8192valid
37.0ms88×body256overflowed
30.0ms249×body128valid
5.0msbody4096valid
1.0msbody1024valid
1.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify160.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0503668

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.3b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b
(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)
4.2b
(/.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)))

rewrite183.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_2844
692×pow-exp_binary64_2874
684×prod-exp_binary64_2855
593×div-exp_binary64_2857
344×pow-to-exp_binary64_2875
116×1-exp_binary64_2850 rec-exp_binary64_2856
56×*-un-lft-identity_binary64_2806
41×add-sqr-sqrt_binary64_2828 times-frac_binary64_2812
36×unpow-prod-down_binary64_2885
30×add-cube-cbrt_binary64_2841
18×cancel-sign-sub-inv_binary64_2772
16×add-cbrt-cube_binary64_2842
distribute-lft-out_binary64_2757
pow1_binary64_2867
pow-pow_binary64_2878 pow-unpow_binary64_2883 add-log-exp_binary64_2845 difference-of-squares_binary64_2775 associate-/r/_binary64_2752
div-inv_binary64_2803
cbrt-undiv_binary64_2840 cbrt-unprod_binary64_2839
flip-+_binary64_2780 flip3-+_binary64_2809
pow-flip_binary64_2880 distribute-lft-out--_binary64_2758 sqr-pow_binary64_2778 inv-pow_binary64_2891
flip3--_binary64_2810 associate-/r*_binary64_2750 diff-log_binary64_2898 sub-neg_binary64_2799 flip--_binary64_2781 clear-num_binary64_2805 associate-/l*_binary64_2751 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)))
13.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
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)

series962.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

820.0ms
(/.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 s)))))

simplify254.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0503827612

prune1.5s (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4983501
Fresh000
Picked101
Done000
Total4993502
Error
0.5b
Counts
502 → 3
Compiler

Compiled 21730 to 13822 computations (36.4% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.8b
(-.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)))))))
8.8b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite66.0ms (0%)

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:

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)))))))
14.0ms
(-.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 s))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series288.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

128.0ms
(-.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)))))))
70.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
45.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
45.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify80.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052283205

prune314.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh112
Picked101
Done000
Total1203123
Error
0.1b
Counts
123 → 3
Compiler

Compiled 5956 to 3927 computations (34.1% saved)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.3b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
8.8b
(-.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)))))))

rewrite84.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt_binary64_2828
62×*-un-lft-identity_binary64_2806
33×log-prod_binary64_2892
28×times-frac_binary64_2812
25×difference-of-squares_binary64_2775
22×cancel-sign-sub-inv_binary64_2772
20×add-cube-cbrt_binary64_2841
12×distribute-lft-out--_binary64_2758 pow1_binary64_2867
11×associate--l+_binary64_2743 associate--r+_binary64_2742
10×associate-*l*_binary64_2747
add-exp-log_binary64_2844
add-cbrt-cube_binary64_2842 log-div_binary64_2893 add-log-exp_binary64_2845 log-pow_binary64_2895
div-inv_binary64_2803 flip3--_binary64_2810 flip--_binary64_2781
distribute-lft-neg-in_binary64_2763 distribute-lft-out_binary64_2757 associate-*r*_binary64_2746 distribute-rgt-neg-in_binary64_2764
associate--l-_binary64_2744 diff-log_binary64_2898 associate--r-_binary64_2745 sub-neg_binary64_2799 flip-+_binary64_2780 flip3-+_binary64_2809 associate-*r/_binary64_2748 associate-/r/_binary64_2752
*-commutative_binary64_2737 distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 prod-exp_binary64_2855 neg-mul-1_binary64_2802 rem-log-exp_binary64_2847 cbrt-unprod_binary64_2839 distribute-lft-neg-out_binary64_2765 pow-prod-down_binary64_2877 unswap-sqr_binary64_2774
Counts
4 → 135
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)))))))
13.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
12.0ms
(log.f64 (-.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))))

series294.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

120.0ms
(-.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)))))))
84.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
62.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
28.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify68.0ms (0%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049684018
149684018

prune400.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1470147
Fresh022
Picked011
Done000
Total1473150
Error
0.1b
Counts
150 → 3
Compiler

Compiled 6961 to 4930 computations (29.2% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
0.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.8b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite36.0ms (0%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_2806
16×log-prod_binary64_2892
15×add-sqr-sqrt_binary64_2828
13×pow1_binary64_2867
11×add-cube-cbrt_binary64_2841
add-exp-log_binary64_2844 log-div_binary64_2893
log-pow_binary64_2895
cancel-sign-sub-inv_binary64_2772 add-cbrt-cube_binary64_2842
associate--l+_binary64_2743 associate--r+_binary64_2742 distribute-lft-out_binary64_2757 distribute-lft-out--_binary64_2758 flip-+_binary64_2780 add-log-exp_binary64_2845 flip3-+_binary64_2809
associate-*l*_binary64_2747 sub-neg_binary64_2799 associate-*r*_binary64_2746
flip3--_binary64_2810 distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 associate--l-_binary64_2744 associate--r-_binary64_2745 rem-log-exp_binary64_2847 flip--_binary64_2781 associate-*r/_binary64_2748
*-commutative_binary64_2737 diff-log_binary64_2898 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 difference-of-squares_binary64_2775 pow-prod-down_binary64_2877 unswap-sqr_binary64_2774
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)))))
7.0ms
(*.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))))

series224.0ms (0.1%)

Counts
4 → 12
Calls

4 calls:

71.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
61.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
49.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
43.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify73.0ms (0%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049322002
149322002

prune174.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh101
Picked101
Done011
Total992101
Error
0.1b
Counts
101 → 2
Compiler

Compiled 3671 to 2337 computations (36.3% saved)

regimes462.0ms (0.3%)

Compiler

Compiled 6069 to 5458 computations (10.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015142
115142

end0.0ms (0%)

sample2.1min (85.6%)

Algorithm
intervals
Results
1.9min5097×body8192exit
5.6s3900×body1024overflowed
4.2s23452×body128overflowed
1.5s1998×body512overflowed
946.0ms38178×pre128true
407.0ms1000×body256overflowed
316.0ms2658×body128valid
246.0ms11×body8192valid
45.0ms30×body1024valid
25.0msbody4096valid
10.0ms16×body512valid
3.0msbody256valid
3.0msbody2048valid
0.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

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