Details

Time bar (total: 4.4s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample85.0ms (2%)

Algorithm
intervals
Results
53.0ms144×body1024valid
13.0ms60×body512valid
8.0ms14×body2048valid
3.0ms25×body256valid
1.0ms13×body128valid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify332.0ms (7.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (239.0ms)

IterNodesCost
0400515
1400515

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 59.2b

Counts
2 → 1
Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 1 x) (-.f64 1 x))
3.8b
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64_3829
52×add-sqr-sqrt_binary64_3851
48×times-frac_binary64_3835
30×log-prod_binary64_3915
25×add-cube-cbrt_binary64_3864
18×difference-of-squares_binary64_3798
13×distribute-lft-out_binary64_3780
distribute-lft-out--_binary64_3781
add-exp-log_binary64_3867
associate-/r*_binary64_3773
add-cbrt-cube_binary64_3865 associate-/r/_binary64_3775 associate-/l*_binary64_3774
pow1_binary64_3890
add-log-exp_binary64_3868 div-inv_binary64_3826 div-exp_binary64_3880 flip--_binary64_3804 rem-log-exp_binary64_3870 associate-/l/_binary64_3776 flip3--_binary64_3833
flip3-+_binary64_3832 flip-+_binary64_3803 clear-num_binary64_3828 cbrt-undiv_binary64_3863 log-div_binary64_3916 frac-2neg_binary64_3840 log-pow_binary64_3918
Counts
2 → 91
Calls

2 calls:

8.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series42.0ms (1%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify74.0ms (1.7%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
057561898

prune112.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New95297
Fresh000
Picked101
Done000
Total96298

Merged error: 0.0b

Counts
98 → 2
Compiler

Compiled 1725 to 1375 computations (20.3% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 2/5 (pow.f64 x 5))
0.1b
(*.f64 (pow.f64 x 3) 2/3)

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_3851
15×associate-*l*_binary64_3770
12×add-exp-log_binary64_3867
10×associate-*r*_binary64_3769
add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
unpow-prod-down_binary64_3908
unswap-sqr_binary64_3797
add-cbrt-cube_binary64_3865 prod-exp_binary64_3878
cube-prod_binary64_3857 sqr-pow_binary64_3801
add-log-exp_binary64_3868 pow-exp_binary64_3897 pow1_binary64_3890 *-commutative_binary64_3760 pow-to-exp_binary64_3898 cbrt-unprod_binary64_3862
cube-mult_binary64_3859 unpow3_binary64_3895
Counts
2 → 56
Calls

2 calls:

6.0ms
(*.f64 (pow.f64 x 3) 2/3)
5.0ms
(*.f64 2/5 (pow.f64 x 5))

series54.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(*.f64 2/5 (pow.f64 x 5))
26.0ms
(*.f64 (pow.f64 x 3) 2/3)

simplify46.0ms (1.1%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04968592
14968592

prune71.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done000
Total62264

Merged error: 0.0b

Counts
64 → 2
Compiler

Compiled 1332 to 962 computations (27.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.9b
(log.f64 (-.f64 1 x))
3.9b
(log.f64 (+.f64 1 x))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64_3829
20×log-prod_binary64_3915
16×add-sqr-sqrt_binary64_3851
10×pow1_binary64_3890
add-cube-cbrt_binary64_3864 log-div_binary64_3916
log-pow_binary64_3918
distribute-lft-out--_binary64_3781 associate--r+_binary64_3765
add-exp-log_binary64_3867 difference-of-squares_binary64_3798
cancel-sign-sub-inv_binary64_3795 associate--l+_binary64_3766
add-log-exp_binary64_3868 flip--_binary64_3804 add-cbrt-cube_binary64_3865 flip3--_binary64_3833
flip3-+_binary64_3832 rem-log-exp_binary64_3870 flip-+_binary64_3803 associate--l-_binary64_3767 distribute-lft-out_binary64_3780 associate--r-_binary64_3768
sub-neg_binary64_3822 diff-log_binary64_3921
Counts
3 → 66
Calls

3 calls:

12.0ms
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms
(log.f64 (-.f64 1 x))
3.0ms
(log.f64 (+.f64 1 x))

series62.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

36.0ms
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
13.0ms
(log.f64 (-.f64 1 x))
12.0ms
(log.f64 (+.f64 1 x))

simplify91.0ms (2.1%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
048791083
148791083

prune74.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh000
Picked101
Done011
Total74377

Merged error: 0b

Counts
77 → 3
Compiler

Compiled 1308 to 1061 computations (18.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.9b
(log.f64 (-.f64 1 x))
3.9b
(log.f64 (-.f64 1 x))
3.9b
(log.f64 (-.f64 1 x))
3.9b
(log.f64 (+.f64 1 x))

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×log-prod_binary64_3915
19×*-un-lft-identity_binary64_3829
17×add-sqr-sqrt_binary64_3851
add-exp-log_binary64_3867 add-cube-cbrt_binary64_3864 pow1_binary64_3890 log-div_binary64_3916
difference-of-squares_binary64_3798
add-log-exp_binary64_3868 rem-log-exp_binary64_3870 add-cbrt-cube_binary64_3865 log-pow_binary64_3918
flip--_binary64_3804 flip3--_binary64_3833 distribute-lft-out--_binary64_3781
flip3-+_binary64_3832 flip-+_binary64_3803 distribute-lft-out_binary64_3780
Counts
4 → 66
Calls

4 calls:

5.0ms
(log.f64 (+.f64 1 x))
4.0ms
(log.f64 (-.f64 1 x))
4.0ms
(log.f64 (-.f64 1 x))
4.0ms
(log.f64 (-.f64 1 x))

series49.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(log.f64 (+.f64 1 x))
12.0ms
(log.f64 (-.f64 1 x))
12.0ms
(log.f64 (-.f64 1 x))
12.0ms
(log.f64 (-.f64 1 x))

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05465960

prune125.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0b

Counts
81 → 3
Compiler

Compiled 2305 to 1884 computations (18.3% saved)

regimes116.0ms (2.7%)

Compiler

Compiled 1226 to 1056 computations (13.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02025
12025

end0.0ms (0%)

sample2.8s (64.4%)

Algorithm
intervals
Results
1.5s3966×body1024valid
457.0ms2072×body512valid
207.0ms376×body2048valid
130.0ms1017×body256valid
34.0ms569×body128valid
Compiler

Compiled 304 to 262 computations (13.8% saved)

Profiling

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