Details

Time bar (total: 3.1s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.5%)

Algorithm
intervals
Results
4.0ms58×body512valid
4.0ms150×body128valid
2.0ms37×body256valid
1.0ms11×body1024valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify107.0ms (3.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07616
17616

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
14.8b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 1 (+.f64 x 1))
3.3b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite63.0ms (2%)

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity_binary64_4852
95×add-sqr-sqrt_binary64_4874
90×times-frac_binary64_4858
43×add-cube-cbrt_binary64_4887
30×distribute-lft-out--_binary64_4804
27×cancel-sign-sub-inv_binary64_4818
23×difference-of-squares_binary64_4821
11×add-exp-log_binary64_4890 associate-/r*_binary64_4796
10×distribute-lft-out_binary64_4803
associate-/r/_binary64_4798
difference-of-sqr-1_binary64_4822 add-cbrt-cube_binary64_4888 div-inv_binary64_4849
associate-/l*_binary64_4797
add-log-exp_binary64_4891 pow1_binary64_4913
flip--_binary64_4827 div-exp_binary64_4903
flip3--_binary64_4856
pow-flip_binary64_4926 1-exp_binary64_4896 flip-+_binary64_4826 clear-num_binary64_4851 rec-exp_binary64_4902 inv-pow_binary64_4937 cbrt-undiv_binary64_4886 frac-2neg_binary64_4863
sub-neg_binary64_4845 frac-sub_binary64_4861 diff-log_binary64_4944 flip3-+_binary64_4855
Counts
3 → 151
Calls

3 calls:

34.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
5.0ms
(/.f64 1 (+.f64 x 1))

series130.0ms (4.2%)

Counts
3 → 35
Calls

3 calls:

71.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
31.0ms
(/.f64 1 (-.f64 x 1))
28.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 577 to 511 computations (11.4% saved)

simplify74.0ms (2.4%)

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049302785
149302785

prune215.0ms (6.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1833186
Fresh000
Picked101
Done000
Total1843187
Error
0.1b
Counts
187 → 3
Compiler

Compiled 3071 to 2464 computations (19.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 -1 (*.f64 x x)))
2.7b
(+.f64 x (-.f64 -2 x))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64_4852
15×times-frac_binary64_4858
13×add-cube-cbrt_binary64_4887 add-sqr-sqrt_binary64_4874
10×distribute-lft-out_binary64_4803
add-log-exp_binary64_4891
distribute-lft-out--_binary64_4804 associate-/l*_binary64_4797
add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 associate-+r+_binary64_4784
flip-+_binary64_4826 cancel-sign-sub-inv_binary64_4818 associate-/r*_binary64_4796 flip3-+_binary64_4855
associate-/l/_binary64_4799 associate-+r-_binary64_4786 associate-/r/_binary64_4798 pow1_binary64_4913 sum-log_binary64_4943
+-commutative_binary64_4782 div-sub_binary64_4857 sub-neg_binary64_4845 div-inv_binary64_4849 clear-num_binary64_4851 diff-log_binary64_4944 cbrt-undiv_binary64_4886 frac-2neg_binary64_4863 div-exp_binary64_4903
Counts
2 → 59
Calls

2 calls:

9.0ms
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 -1 (*.f64 x x)))
6.0ms
(+.f64 x (-.f64 -2 x))

series60.0ms (1.9%)

Counts
2 → 14
Calls

2 calls:

54.0ms
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 -1 (*.f64 x x)))
6.0ms
(+.f64 x (-.f64 -2 x))
Compiler

Compiled 236 to 216 computations (8.5% saved)

simplify68.0ms (2.2%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
052561013

prune66.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh202
Picked101
Done000
Total71576
Error
0.0b
Counts
76 → 5
Compiler

Compiled 1096 to 718 computations (34.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 2 (-.f64 1 (*.f64 x x)))

rewrite8.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
15×times-frac_binary64_4858 *-un-lft-identity_binary64_4852 add-sqr-sqrt_binary64_4874
11×add-cube-cbrt_binary64_4887
difference-of-squares_binary64_4821
associate-/r*_binary64_4796
add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 associate-/l*_binary64_4797
associate-/r/_binary64_4798
flip3--_binary64_4856 div-inv_binary64_4849 clear-num_binary64_4851 add-log-exp_binary64_4891 pow1_binary64_4913 flip--_binary64_4827 cbrt-undiv_binary64_4886 frac-2neg_binary64_4863 div-exp_binary64_4903
Counts
1 → 37
Calls

1 calls:

5.0ms
(/.f64 2 (-.f64 1 (*.f64 x x)))

series48.0ms (1.5%)

Counts
1 → 11
Calls

1 calls:

47.0ms
(/.f64 2 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 194 to 180 computations (7.2% saved)

simplify79.0ms (2.5%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05694806

prune45.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh134
Picked011
Done000
Total48553
Error
0b
Counts
53 → 5
Compiler

Compiled 706 to 498 computations (29.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 2 (+.f64 1 x))
0.0b
(/.f64 (/.f64 2 (+.f64 1 x)) (-.f64 1 x))

rewrite37.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
204×times-frac_binary64_4858
193×*-un-lft-identity_binary64_4852
143×add-sqr-sqrt_binary64_4874
86×add-cube-cbrt_binary64_4887
38×difference-of-squares_binary64_4821
25×distribute-lft-out_binary64_4803
21×associate-/l*_binary64_4797
19×distribute-lft-out--_binary64_4804
18×associate-/r/_binary64_4798
10×associate-/r*_binary64_4796
add-exp-log_binary64_4890 add-cbrt-cube_binary64_4888 div-inv_binary64_4849
flip-+_binary64_4826 flip3-+_binary64_4855
cbrt-undiv_binary64_4886 div-exp_binary64_4903
clear-num_binary64_4851 add-log-exp_binary64_4891 pow1_binary64_4913 frac-2neg_binary64_4863
flip3--_binary64_4856 associate-/l/_binary64_4799 flip--_binary64_4827
Counts
2 → 182
Calls

2 calls:

13.0ms
(/.f64 (/.f64 2 (+.f64 1 x)) (-.f64 1 x))
5.0ms
(/.f64 2 (+.f64 1 x))

series95.0ms (3.1%)

Counts
2 → 23
Calls

2 calls:

64.0ms
(/.f64 (/.f64 2 (+.f64 1 x)) (-.f64 1 x))
31.0ms
(/.f64 2 (+.f64 1 x))
Compiler

Compiled 408 to 368 computations (9.8% saved)

simplify105.0ms (3.4%)

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050044851

prune239.0ms (7.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2050205
Fresh033
Picked011
Done011
Total2055210
Error
0b
Counts
210 → 5
Compiler

Compiled 3787 to 2989 computations (21.1% saved)

regimes168.0ms (5.4%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Compiler

Compiled 1876 to 1604 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01913
11913

end0.0ms (0%)

sample1.4s (46%)

Algorithm
intervals
Results
157.0ms1984×body512valid
136.0ms4610×body128valid
54.0ms1022×body256valid
39.0ms384×body1024valid
Compiler

Compiled 930 to 795 computations (14.5% saved)

Profiling

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