Details

Time bar (total: 3.8min)

analyze4.0s (1.7%)

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)

sample14.4s (6.3%)

Algorithm
intervals
Results
12.6s430×body8192exit
690.0ms337×body1024overflowed
496.0ms2014×body128overflowed
199.0ms199×body512overflowed
109.0ms3337×pre128true
52.0ms101×body256overflowed
40.0ms253×body128valid
7.0msbody4096valid
1.0msbody512valid
0.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify212.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
0503668

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.5b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize28.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(+.f64 1 (exp.f64 (neg.f64 t)))
0.0b
(+.f64 1 (exp.f64 (neg.f64 t)))
0.0b
(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b
(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.5b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
1.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
3.4b
(/.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)))

rewrite233.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_4890
692×pow-exp_binary64_4920
684×prod-exp_binary64_4901
593×div-exp_binary64_4903
344×pow-to-exp_binary64_4921
116×1-exp_binary64_4896 rec-exp_binary64_4902
56×*-un-lft-identity_binary64_4852
41×times-frac_binary64_4858 add-sqr-sqrt_binary64_4874
36×unpow-prod-down_binary64_4931
30×add-cube-cbrt_binary64_4887
18×cancel-sign-sub-inv_binary64_4818
16×add-cbrt-cube_binary64_4888
distribute-lft-out_binary64_4803
pow1_binary64_4913
difference-of-squares_binary64_4821 pow-pow_binary64_4924 add-log-exp_binary64_4891 associate-/r/_binary64_4798 pow-unpow_binary64_4929
div-inv_binary64_4849
cbrt-unprod_binary64_4885 cbrt-undiv_binary64_4886
flip-+_binary64_4826 flip3-+_binary64_4855
pow-flip_binary64_4926 distribute-lft-out--_binary64_4804 inv-pow_binary64_4937 sqr-pow_binary64_4824
flip3--_binary64_4856 sub-neg_binary64_4845 associate-/l*_binary64_4797 clear-num_binary64_4851 associate-/r*_binary64_4796 flip--_binary64_4827 diff-log_binary64_4944 frac-2neg_binary64_4863
Counts
4 → 489
Calls

8 calls:

68.0ms
(/.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)))
20.0ms
(-.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)
0.0ms
(+.f64 1 (exp.f64 (neg.f64 s)))

series3.5s (1.6%)

Counts
4 → 39
Calls

4 calls:

3.1s
(/.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)))
191.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
168.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
38.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
Compiler

Compiled 4756 to 3724 computations (21.7% saved)

simplify399.0ms (0.2%)

Algorithm
egg-herbie
Counts
528 → 528
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
0497630857
1497630857

prune2.2s (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5235528
Fresh000
Picked101
Done000
Total5245529
Error
0.3b
Counts
529 → 5
Compiler

Compiled 24366 to 15819 computations (35.1% saved)

localize36.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(+.f64 1 (exp.f64 (neg.f64 t)))
0.0b
(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b
(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b
(-.f64 (*.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)))))))) (*.f64 c_p (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))))
0.6b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
1.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
4.6b
(-.f64 (-.f64 (*.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)))))))) (*.f64 c_p (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))) (*.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
8.7b
(-.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)))))))

rewrite116.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
107×associate--l+_binary64_4789
61×add-sqr-sqrt_binary64_4874
60×log-prod_binary64_4938
59×*-un-lft-identity_binary64_4852
25×difference-of-squares_binary64_4821
22×distribute-lft-in_binary64_4801 distribute-rgt-in_binary64_4802
19×associate--r+_binary64_4788
16×times-frac_binary64_4858
15×add-cube-cbrt_binary64_4887
14×cancel-sign-sub-inv_binary64_4818
13×pow1_binary64_4913
12×distribute-lft-out--_binary64_4804 log-div_binary64_4939
add-log-exp_binary64_4891 log-pow_binary64_4941
add-exp-log_binary64_4890 associate--r-_binary64_4791 flip3--_binary64_4856 flip--_binary64_4827
sub-neg_binary64_4845
distribute-lft-out_binary64_4803 add-cbrt-cube_binary64_4888 div-inv_binary64_4849 diff-log_binary64_4944
associate--l-_binary64_4790
flip-+_binary64_4826 rem-log-exp_binary64_4893 flip3-+_binary64_4855
Counts
4 → 136
Calls

8 calls:

52.0ms
(-.f64 (-.f64 (*.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)))))))) (*.f64 c_p (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))) (*.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
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)))))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0ms
(-.f64 (*.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)))))))) (*.f64 c_p (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))))

series3.2s (1.4%)

Counts
4 → 42
Calls

4 calls:

2.5s
(-.f64 (-.f64 (*.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)))))))) (*.f64 c_p (neg.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))) (*.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
509.0ms
(-.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)))))))
75.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
72.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
Compiler

Compiled 2666 to 2284 computations (14.3% saved)

simplify166.0ms (0.1%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049517608
149517608

prune734.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1753178
Fresh224
Picked101
Done000
Total1785183
Error
0.3b
Counts
183 → 5
Compiler

Compiled 9094 to 6121 computations (32.7% saved)

localize39.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2))
0.0b
(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b
(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b
(*.f64 (*.f64 t 1/8) (+.f64 c_p c_n))
0.2b
(*.f64 c_p (+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2)))
0.2b
(*.f64 c_p (log.f64 2))
1.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
8.6b
(-.f64 (+.f64 (*.f64 c_p (log.f64 2)) (*.f64 c_n (+.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (*.f64 t 1/2)))) (+.f64 (*.f64 c_n (log.f64 1/2)) (*.f64 c_p (+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2)))))

rewrite45.0ms (0%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_4874
16×*-un-lft-identity_binary64_4852 add-log-exp_binary64_4891
12×add-cube-cbrt_binary64_4887
10×log-prod_binary64_4938 pow1_binary64_4913
add-exp-log_binary64_4890
add-cbrt-cube_binary64_4888
associate-*r*_binary64_4792
associate-*l*_binary64_4793 flip-+_binary64_4826 flip3-+_binary64_4855
distribute-lft-in_binary64_4801 frac-sub_binary64_4861 distribute-rgt-in_binary64_4802 diff-log_binary64_4944 sum-log_binary64_4943
cancel-sign-sub-inv_binary64_4818
unswap-sqr_binary64_4820 cbrt-unprod_binary64_4885 associate-*r/_binary64_4794 prod-exp_binary64_4901 log-div_binary64_4939 pow-prod-down_binary64_4923 log-pow_binary64_4941 *-commutative_binary64_4783
difference-of-squares_binary64_4821 distribute-lft-out--_binary64_4804 flip3--_binary64_4856 associate--l+_binary64_4789 associate--r+_binary64_4788 distribute-lft-out_binary64_4803 sub-neg_binary64_4845 flip--_binary64_4827 rem-log-exp_binary64_4893
Counts
4 → 87
Calls

8 calls:

13.0ms
(-.f64 (+.f64 (*.f64 c_p (log.f64 2)) (*.f64 c_n (+.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (*.f64 t 1/2)))) (+.f64 (*.f64 c_n (log.f64 1/2)) (*.f64 c_p (+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2)))))
6.0ms
(*.f64 c_p (+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2)))
5.0ms
(*.f64 c_p (log.f64 2))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0ms
(*.f64 (*.f64 t 1/8) (+.f64 c_p c_n))

series2.7s (1.2%)

Counts
4 → 42
Calls

4 calls:

2.1s
(-.f64 (+.f64 (*.f64 c_p (log.f64 2)) (*.f64 c_n (+.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (*.f64 t 1/2)))) (+.f64 (*.f64 c_n (log.f64 1/2)) (*.f64 c_p (+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2)))))
451.0ms
(*.f64 c_p (+.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (*.f64 t 1/2)))
84.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
62.0ms
(*.f64 c_p (log.f64 2))
Compiler

Compiled 3324 to 2670 computations (19.7% saved)

simplify120.0ms (0.1%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
055654745

prune608.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh134
Picked101
Done000
Total1304134
Error
0.2b
Counts
134 → 4
Compiler

Compiled 7555 to 5081 computations (32.7% saved)

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite77.0ms (0%)

Algorithm
rewrite-expression-head
Rules
40×associate-*r/_binary64_4794
21×add-log-exp_binary64_4891
20×flip-+_binary64_4826 flip3-+_binary64_4855
13×add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 distribute-lft-in_binary64_4801 distribute-rgt-in_binary64_4802 pow1_binary64_4913
12×frac-add_binary64_4860 frac-sub_binary64_4861
11×*-un-lft-identity_binary64_4852 add-sqr-sqrt_binary64_4874
10×associate-+r+_binary64_4784
add-cube-cbrt_binary64_4887 cancel-sign-sub-inv_binary64_4818
cbrt-unprod_binary64_4885 prod-exp_binary64_4901 pow-prod-down_binary64_4923 sum-log_binary64_4943
associate-+l+_binary64_4785 diff-log_binary64_4944
associate-*l*_binary64_4793 flip3--_binary64_4856 associate--l+_binary64_4789 sub-neg_binary64_4845 exp-prod_binary64_4904 flip--_binary64_4827
rem-exp-log_binary64_4892
difference-of-squares_binary64_4821 distribute-lft-out--_binary64_4804 +-commutative_binary64_4782 associate--r+_binary64_4788 associate-*r*_binary64_4792 exp-sum_binary64_4898 *-commutative_binary64_4783
Counts
4 → 102
Calls

8 calls:

20.0ms
(+.f64 (*.f64 t (*.f64 (*.f64 t 1/8) (+.f64 c_p c_n))) (*.f64 1/2 (-.f64 (+.f64 (*.f64 c_n t) (*.f64 c_p s)) (+.f64 (*.f64 c_p t) (*.f64 c_n s)))))
20.0ms
(exp.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t 1/8) (+.f64 c_p c_n))) (*.f64 1/2 (-.f64 (+.f64 (*.f64 c_n t) (*.f64 c_p s)) (+.f64 (*.f64 c_p t) (*.f64 c_n s))))))
10.0ms
(-.f64 (+.f64 (*.f64 c_n t) (*.f64 c_p s)) (+.f64 (*.f64 c_p t) (*.f64 c_n s)))
10.0ms
(*.f64 t (*.f64 (*.f64 t 1/8) (+.f64 c_p c_n)))
0.0ms
(+.f64 (*.f64 c_p t) (*.f64 c_n s))

series2.1s (0.9%)

Counts
4 → 87
Calls

4 calls:

952.0ms
(+.f64 (*.f64 t (*.f64 (*.f64 t 1/8) (+.f64 c_p c_n))) (*.f64 1/2 (-.f64 (+.f64 (*.f64 c_n t) (*.f64 c_p s)) (+.f64 (*.f64 c_p t) (*.f64 c_n s)))))
645.0ms
(exp.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t 1/8) (+.f64 c_p c_n))) (*.f64 1/2 (-.f64 (+.f64 (*.f64 c_n t) (*.f64 c_p s)) (+.f64 (*.f64 c_p t) (*.f64 c_n s))))))
330.0ms
(-.f64 (+.f64 (*.f64 c_n t) (*.f64 c_p s)) (+.f64 (*.f64 c_p t) (*.f64 c_n s)))
211.0ms
(*.f64 t (*.f64 (*.f64 t 1/8) (+.f64 c_p c_n)))
Compiler

Compiled 6193 to 4604 computations (25.7% saved)

simplify105.0ms (0%)

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050929233

prune375.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1872189
Fresh213
Picked101
Done000
Total1903193
Error
0.2b
Counts
193 → 3
Compiler

Compiled 8373 to 2923 computations (65.1% saved)

simplify252.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (221.0ms)

IterNodesCost
037642437
137642437

regimes2.1s (0.9%)

Compiler

Compiled 24504 to 20318 computations (17.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06744
16744

end0.0ms (0%)

sample3.1min (83.3%)

Algorithm
intervals
Results
2.8min7128×body8192exit
8.2s5245×body1024overflowed
6.1s31732×body128overflowed
2.4s2848×body512overflowed
1.3s52361×pre128true
640.0ms1458×body256overflowed
491.0ms3850×body128valid
198.0ms12×body8192valid
123.0ms12×body4096valid
53.0ms31×body1024valid
20.0msbody8192overflowed
13.0ms18×body512valid
13.0msbody2048valid
6.0ms18×body256valid
1.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

end0.0ms (0%)

Profiling

Loading profile data...