Details

Time bar (total: 3.2s)

analyze231.0ms (7.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify238.0ms (7.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
075610
175610

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 37 to 27 computations (27% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity_binary64
60×times-frac_binary64
58×add-sqr-sqrt_binary64
32×add-cube-cbrt_binary64
24×distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
13×difference-of-squares_binary64 distribute-lft-out--_binary64
12×distribute-lft-out_binary64 associate-/l*_binary64
neg-mul-1_binary64
associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 distribute-neg-frac_binary64 associate-/r/_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 neg-sub0_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 distribute-frac-neg_binary64 flip--_binary64 flip-+_binary64
Counts
1 → 95
Calls

1 calls:

12.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

series107.0ms (3.3%)

Counts
1 → 3
Calls

1 calls:

106.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

simplify62.0ms (1.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049592073
149592073

prune194.0ms (6.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh101
Picked101
Done000
Total955100

Merged error: 0b

Counts
100 → 5
Compiler

Compiled 3822 to 1496 computations (60.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 -1 (/.f64 (-.f64 f n) (+.f64 f n)))
0.0b
(/.f64 (-.f64 f n) (+.f64 f n))

rewrite40.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
178×times-frac_binary64
174×*-un-lft-identity_binary64
122×add-sqr-sqrt_binary64
80×add-cube-cbrt_binary64
30×associate-/r*_binary64
26×distribute-lft-out_binary64
21×difference-of-squares_binary64 distribute-lft-out--_binary64
11×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
div-inv_binary64
flip3-+_binary64 flip-+_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
flip3--_binary64 div-sub_binary64 flip--_binary64
Counts
2 → 168
Calls

2 calls:

12.0ms
(/.f64 -1 (/.f64 (-.f64 f n) (+.f64 f n)))
9.0ms
(/.f64 (-.f64 f n) (+.f64 f n))

series189.0ms (5.9%)

Counts
2 → 6
Calls

2 calls:

104.0ms
(/.f64 -1 (/.f64 (-.f64 f n) (+.f64 f n)))
85.0ms
(/.f64 (-.f64 f n) (+.f64 f n))

simplify91.0ms (2.8%)

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049653865
149653865

prune153.0ms (4.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1722174
Fresh224
Picked011
Done000
Total1745179

Merged error: 0b

Counts
179 → 5
Compiler

Compiled 3554 to 1143 computations (67.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 -1 (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
0.0b
(/.f64 f (+.f64 f n))
0.0b
(-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))
0.0b
(/.f64 n (+.f64 f n))

rewrite94.0ms (3%)

Algorithm
rewrite-expression-head
Rules
204×*-un-lft-identity_binary64
167×times-frac_binary64
122×add-sqr-sqrt_binary64
62×add-cube-cbrt_binary64
35×distribute-lft-out--_binary64
31×distribute-lft-out_binary64
30×associate-/r/_binary64
25×associate-/r*_binary64
20×difference-of-squares_binary64
18×cancel-sign-sub-inv_binary64
15×distribute-rgt-out--_binary64
14×div-inv_binary64
13×flip3-+_binary64 flip-+_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
add-log-exp_binary64
pow1_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64
flip3--_binary64 sub-div_binary64 flip--_binary64 frac-sub_binary64
sub-neg_binary64 diff-log_binary64
Counts
4 → 198
Calls

4 calls:

29.0ms
(/.f64 -1 (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
27.0ms
(-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))
6.0ms
(/.f64 n (+.f64 f n))
6.0ms
(/.f64 f (+.f64 f n))

series378.0ms (11.8%)

Counts
4 → 12
Calls

4 calls:

141.0ms
(/.f64 -1 (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
122.0ms
(-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))
62.0ms
(/.f64 f (+.f64 f n))
52.0ms
(/.f64 n (+.f64 f n))

simplify83.0ms (2.6%)

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050203826

prune171.0ms (5.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2091210
Fresh123
Picked011
Done011
Total2105215

Merged error: 0b

Counts
215 → 5
Compiler

Compiled 4178 to 1333 computations (68.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (log.f64 (exp.f64 (/.f64 f (+.f64 n f)))) (/.f64 n (+.f64 f n)))
0.0b
(/.f64 f (+.f64 n f))
0.0b
(/.f64 n (+.f64 f n))
2.9b
(log.f64 (exp.f64 (/.f64 f (+.f64 n f))))

rewrite66.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity_binary64
49×times-frac_binary64
45×add-sqr-sqrt_binary64
40×add-cube-cbrt_binary64
20×log-pow_binary64
18×cancel-sign-sub-inv_binary64 exp-prod_binary64
14×distribute-lft-out_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
pow1_binary64 log-prod_binary64 associate-/l*_binary64
add-log-exp_binary64
flip3-+_binary64 div-inv_binary64 flip-+_binary64
associate--l+_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-exp_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 rem-log-exp_binary64 flip--_binary64
Counts
4 → 132
Calls

4 calls:

32.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 f (+.f64 n f)))) (/.f64 n (+.f64 f n)))
10.0ms
(log.f64 (exp.f64 (/.f64 f (+.f64 n f))))
6.0ms
(/.f64 f (+.f64 n f))
5.0ms
(/.f64 n (+.f64 f n))

series356.0ms (11.1%)

Counts
4 → 12
Calls

4 calls:

155.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 f (+.f64 n f)))) (/.f64 n (+.f64 f n)))
94.0ms
(log.f64 (exp.f64 (/.f64 f (+.f64 n f))))
60.0ms
(/.f64 f (+.f64 n f))
47.0ms
(/.f64 n (+.f64 f n))

simplify75.0ms (2.3%)

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
061761756

prune105.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh022
Picked011
Done022
Total1445149

Merged error: 0b

Counts
149 → 5
Compiler

Compiled 2781 to 758 computations (72.7% saved)

regimes25.0ms (0.8%)

Compiler

Compiled 128 to 92 computations (28.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813
11813

end0.0ms (0%)

sample459.0ms (14.4%)

Algorithm
intervals
Results
213.0ms8000×body128valid
Compiler

Compiled 80 to 58 computations (27.5% saved)

Profiling

Loading profile data...