Details

Time bar (total: 2.1s)

analyze154.0ms (7.4%)

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
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify80.0ms (3.9%)

Algorithm
egg-herbie
Rules
801×fma-def_binary64
511×fma-neg_binary64
365×times-frac_binary64
331×div-sub_binary64
156×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21910
33010
45210
58110
612410
719110
830010
964110
1082210
11129910
12132810
13134310
14135710
15137710
16137710
17127610

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

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
Counts
1 → 48
Calls

1 calls:

6.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

series8.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

simplify87.0ms (4.2%)

Algorithm
egg-herbie
Rules
610×div-sub_binary64
586×fma-neg_binary64
530×cancel-sign-sub-inv_binary64
194×distribute-neg-frac_binary64
184×fma-def_binary64
Counts
72 → 108
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061287
12831239
27481195
324881183
443831183
554851183

prune39.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh000
Picked101
Done000
Total1072109
Error
0b
Counts
109 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
Compiler

Compiled 930 to 293 computations (68.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.0b
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

rewrite28.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity_binary64
80×times-frac_binary64
76×add-sqr-sqrt_binary64
58×cbrt-prod_binary64
52×cube-prod_binary64
Counts
2 → 144
Calls

2 calls:

11.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
8.0ms
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

series28.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

15.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
13.0ms
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

simplify175.0ms (8.5%)

Algorithm
egg-herbie
Rules
775×fma-def_binary64
319×unswap-sqr_binary64
229×associate-/l/_binary64
227×distribute-rgt-in_binary64
206×distribute-lft-in_binary64
Counts
192 → 347
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02174193
16363904
219743788
347153762
452523762

prune104.0ms (5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4550455
Fresh011
Picked011
Done000
Total4552457
Error
0b
Counts
457 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
Compiler

Compiled 3730 to 1411 computations (62.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
178×times-frac_binary64
174×*-un-lft-identity_binary64
122×add-sqr-sqrt_binary64
80×add-cube-cbrt_binary64
31×associate-/r*_binary64
Counts
2 → 177
Calls

2 calls:

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

series16.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

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

simplify367.0ms (17.7%)

Algorithm
egg-herbie
Rules
620×fma-neg_binary64
340×fma-def_binary64
288×times-frac_binary64
230×distribute-rgt-in_binary64
227×associate-*r*_binary64
Counts
225 → 398
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01724507
14204205
212854017
339913999
449763999

prune349.0ms (16.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3980398
Fresh000
Picked011
Done011
Total3982400
Error
0b
Counts
400 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
Compiler

Compiled 3915 to 1247 computations (68.1% saved)

regimes86.0ms (4.2%)

Accuracy

Total 0.0b remaining (18.6%)

Threshold costs 0.0b (18.6%)

Compiler

Compiled 1110 to 765 computations (31.1% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
31610
41710
51710

end0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample474.0ms (22.9%)

Algorithm
intervals
Results
236.0ms8000×body128valid
Compiler

Compiled 44 to 28 computations (36.4% saved)

Profiling

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