Details

Time bar (total: 2.6s)

analyze25.0ms (1%)

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 8 to 6 computations (25% saved)

sample13.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify11.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
06410
16410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (-.f64 x y))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
associate-/r*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
1 → 45
Calls

1 calls:

10.0ms
(/.f64 (+.f64 x y) (-.f64 x y))

series87.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

87.0ms
(/.f64 (+.f64 x y) (-.f64 x y))

simplify82.0ms (3.2%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04900802
14900802

prune97.0ms (3.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New41748
Fresh000
Picked101
Done000
Total42749

Merged error: 0b

Counts
49 → 7
Compiler

Compiled 1895 to 766 computations (59.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite43.0ms (1.7%)

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
12×add-exp-log_binary64
11×associate-/r/_binary64
add-cbrt-cube_binary64
associate-/l*_binary64
div-inv_binary64
flip3-+_binary64 div-exp_binary64 flip-+_binary64
cbrt-undiv_binary64
pow1_binary64
associate-/l/_binary64 add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
flip3--_binary64 div-sub_binary64 inv-pow_binary64 flip--_binary64 pow-flip_binary64
Counts
2 → 172
Calls

2 calls:

13.0ms
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
9.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

series168.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

84.0ms
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
84.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

simplify92.0ms (3.6%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049713625
149713625

prune145.0ms (5.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1762178
Fresh336
Picked011
Done000
Total1796185

Merged error: 0b

Counts
185 → 6
Compiler

Compiled 3462 to 968 computations (72% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite98.0ms (3.8%)

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
11×add-exp-log_binary64
10×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 inv-pow_binary64 rec-exp_binary64 pow-flip_binary64
Counts
4 → 201
Calls

4 calls:

32.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
31.0ms
(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
6.0ms
(/.f64 y (+.f64 x y))
6.0ms
(/.f64 x (+.f64 x y))

series330.0ms (12.9%)

Counts
4 → 12
Calls

4 calls:

117.0ms
(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
112.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
51.0ms
(/.f64 x (+.f64 x y))
50.0ms
(/.f64 y (+.f64 x y))

simplify82.0ms (3.2%)

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050553745

prune181.0ms (7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2112213
Fresh224
Picked011
Done011
Total2136219

Merged error: 0b

Counts
219 → 6
Compiler

Compiled 4401 to 1444 computations (67.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 y x)))) (/.f64 y (+.f64 x y)))
0.0b
(/.f64 x (+.f64 y x))
0.0b
(/.f64 y (+.f64 x y))
2.9b
(log.f64 (exp.f64 (/.f64 x (+.f64 y x))))

rewrite73.0ms (2.8%)

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:

40.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 y x)))) (/.f64 y (+.f64 x y)))
8.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 y x))))
6.0ms
(/.f64 x (+.f64 y x))
6.0ms
(/.f64 y (+.f64 x y))

series340.0ms (13.2%)

Counts
4 → 12
Calls

4 calls:

142.0ms
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 y x)))) (/.f64 y (+.f64 x y)))
97.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 y x))))
55.0ms
(/.f64 y (+.f64 x y))
47.0ms
(/.f64 x (+.f64 y x))

simplify79.0ms (3.1%)

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
061761756

prune105.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh033
Picked011
Done022
Total1446150

Merged error: 0b

Counts
150 → 6
Compiler

Compiled 2781 to 758 computations (72.7% saved)

regimes29.0ms (1.1%)

Compiler

Compiled 150 to 116 computations (22.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01913
11913

end0.0ms (0%)

sample439.0ms (17.1%)

Algorithm
intervals
Results
182.0ms8000×body128valid
Compiler

Compiled 103 to 77 computations (25.2% saved)

Profiling

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