Details

Time bar (total: 4.0s)

analyze78.0ms (1.9%)

Algorithm
1×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
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.3%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify97.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

11.3b
(/.f64 x (*.f64 y y))
11.3b
(/.f64 x (*.f64 y y))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64_6252 add-exp-log_binary64_6254
3×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 associate-/l*_binary64_6161 times-frac_binary64_6222 add-sqr-sqrt_binary64_6238
2×cbrt-undiv_binary64_6250 div-exp_binary64_6267
1×div-inv_binary64_6213 associate-/r*_binary64_6160 clear-num_binary64_6215 prod-exp_binary64_6265 frac-2neg_binary64_6227 cbrt-unprod_binary64_6249 add-log-exp_binary64_6255 pow1_binary64_6277
Counts
1 → 21
Calls

2 calls:

6.0ms
(/.f64 x (*.f64 y y))
0.0ms
(/.f64 x (*.f64 y y))

series70.0ms (1.7%)

Counts
1 → 6
Calls

1 calls:

70.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 84 to 84 computations (0% saved)

simplify76.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
06109244

prune36.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528
Error
0.0b
Counts
28 → 5
Compiler

Compiled 299 to 138 computations (53.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 x y) y)
0.2b
(/.f64 (/.f64 x y) y)

rewrite14.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_6222
43×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 add-sqr-sqrt_binary64_6238
13×associate-/l*_binary64_6161
6×add-cbrt-cube_binary64_6252 add-exp-log_binary64_6254
5×div-inv_binary64_6213
3×associate-/r*_binary64_6160 cbrt-undiv_binary64_6250 div-exp_binary64_6267
1×clear-num_binary64_6215 frac-2neg_binary64_6227 associate-/l/_binary64_6163 add-log-exp_binary64_6255 pow1_binary64_6277
Counts
1 → 70
Calls

2 calls:

7.0ms
(/.f64 (/.f64 x y) y)
0.0ms
(/.f64 (/.f64 x y) y)

series66.0ms (1.6%)

Counts
1 → 6
Calls

1 calls:

65.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 84 to 84 computations (0% saved)

simplify99.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
047631090
147631090

prune63.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh033
Picked011
Done101
Total75681
Error
0.0b
Counts
81 → 6
Compiler

Compiled 1095 to 464 computations (57.6% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))
0.1b
(/.f64 y (/.f64 x y))
0.1b
(/.f64 y (/.f64 x y))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite54.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_6222
229×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 add-sqr-sqrt_binary64_6238
57×associate-/r*_binary64_6160
28×add-exp-log_binary64_6254
22×div-inv_binary64_6213
18×div-exp_binary64_6267
16×add-cbrt-cube_binary64_6252
9×cbrt-undiv_binary64_6250
6×associate-/r/_binary64_6162 associate-/l*_binary64_6161
3×rec-exp_binary64_6266 1-exp_binary64_6260 pow1_binary64_6277
2×clear-num_binary64_6215 frac-2neg_binary64_6227 add-log-exp_binary64_6255
1×pow-flip_binary64_6290 inv-pow_binary64_6301
Counts
2 → 274
Calls

4 calls:

15.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
7.0ms
(/.f64 y (/.f64 x y))
0.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
0.0ms
(/.f64 y (/.f64 x y))

series132.0ms (3.3%)

Counts
2 → 12
Calls

2 calls:

71.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
61.0ms
(/.f64 y (/.f64 x y))
Compiler

Compiled 192 to 192 computations (0% saved)

simplify140.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
050685036

prune239.0ms (5.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2833286
Fresh224
Picked101
Done011
Total2866292
Error
0b
Counts
292 → 6
Compiler

Compiled 4737 to 2082 computations (56% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
0.2b
(/.f64 1 (/.f64 x y))
0.2b
(/.f64 1 (/.f64 x y))
0.2b
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))

rewrite348.0ms (8.7%)

Algorithm
1×rewrite-expression-head
Rules
1976×times-frac_binary64_6222
849×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 add-sqr-sqrt_binary64_6238
107×div-inv_binary64_6213
96×add-exp-log_binary64_6254
77×div-exp_binary64_6267
57×associate-/r*_binary64_6160
28×add-cbrt-cube_binary64_6252
18×cbrt-undiv_binary64_6250
17×rec-exp_binary64_6266 1-exp_binary64_6260
16×associate-/r/_binary64_6162 associate-/l*_binary64_6161
3×pow1_binary64_6277
2×clear-num_binary64_6215 frac-2neg_binary64_6227 add-log-exp_binary64_6255
1×pow-flip_binary64_6290 associate-/l/_binary64_6163 inv-pow_binary64_6301
Counts
2 → 751
Calls

4 calls:

26.0ms
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
7.0ms
(/.f64 1 (/.f64 x y))
0.0ms
(/.f64 1 (/.f64 x y))
0.0ms
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))

series119.0ms (3%)

Counts
2 → 12
Calls

2 calls:

66.0ms
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
53.0ms
(/.f64 1 (/.f64 x y))
Compiler

Compiled 192 to 180 computations (6.3% saved)

simplify240.0ms (6%)

Algorithm
1×egg-herbie
Counts
763 → 763
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0500019209

prune919.0ms (22.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7621763
Fresh134
Picked101
Done011
Total7645769
Error
0b
Counts
769 → 5
Compiler

Compiled 15249 to 7060 computations (53.7% saved)

simplify12.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0160470
1160470

regimes204.0ms (5.1%)

Compiler

Compiled 1757 to 1235 computations (29.7% saved)

bsearch0.0ms (0%)

regimes86.0ms (2.1%)

Compiler

Compiled 269 to 290 computations (-7.8% saved)

bsearch0.0ms (0%)

regimes46.0ms (1.1%)

Compiler

Compiled 84 to 109 computations (-29.8% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.4%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.4%)

Accuracy

Total 0.1b remaining (98.3%)

Threshold costs 0.1b (98.3%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 26 to 29 computations (-11.5% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02436
12436

end0.0ms (0%)

sample797.0ms (19.8%)

Algorithm
1×intervals
Results
203.0ms8000×body128valid
9.0ms381×body128invalid
Compiler

Compiled 353 to 258 computations (26.9% saved)

Pareto

0.23009595521787618

Profiling

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