Details

Time bar (total: 2.8s)

analyze559.0ms (19.9%)

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (39.4%)

Results
877.0ms8256×body128valid
122.0ms1125×body128invalid
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify53.0ms (1.9%)

Algorithm
egg-herbie
Rules
823×div-sub_binary64
529×fma-neg_binary64
475×distribute-rgt-in_binary64
409×fma-def_binary64
380×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
12511
25011
315611
433111
566611
6174411
7398811
8495311

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
9.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
9.1b
(/.f64 (fma.f64 x (-.f64 y z) x) z)
Compiler

Compiled 42 to 22 computations (47.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (-.f64 y z) x)
8.6b
(/.f64 (fma.f64 x (-.f64 y z) x) z)

series26.0ms (0.9%)

Counts
2 → 72
Calls

2 calls:

18.0ms
(/.f64 (fma.f64 x (-.f64 y z) x) z)
7.0ms
(fma.f64 x (-.f64 y z) x)

rewrite4.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 39
Calls

2 calls:

2.0ms
(/.f64 (fma.f64 x (-.f64 y z) x) z)
0.0ms
(fma.f64 x (-.f64 y z) x)

simplify76.0ms (2.7%)

Algorithm
egg-herbie
Rules
672×associate-/l*_binary64
629×fma-def_binary64
448×associate-/l/_binary64
308×associate-/r*_binary64
291×associate-/r/_binary64
Counts
111 → 73
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0821522
11601371
23741332
312271332
443581332
550421332

prune38.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh000
Picked011
Done000
Total70474
Error
0.0b
Counts
74 → 4
Alt Table
StatusErrorProgram
9.3b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.2b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
9.1b
(/.f64 (fma.f64 x (-.f64 y z) x) z)
10.2b
(/.f64 (/.f64 (fma.f64 x (-.f64 y z) x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
Compiler

Compiled 1054 to 249 computations (76.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
4.9b
(fma.f64 (/.f64 x z) y (/.f64 x z))

series35.0ms (1.3%)

Counts
2 → 72
Calls

2 calls:

18.0ms
(fma.f64 (/.f64 x z) y (/.f64 x z))
17.0ms
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
prod-diff_binary64
add-log-exp_binary64
Counts
2 → 41
Calls

2 calls:

3.0ms
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
0.0ms
(fma.f64 (/.f64 x z) y (/.f64 x z))

simplify87.0ms (3.1%)

Algorithm
egg-herbie
Rules
663×fma-neg_binary64
438×associate-*l*_binary64
352×associate-*r*_binary64
336×fma-def_binary64
307×distribute-rgt-out_binary64
Counts
113 → 74
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0871698
11601621
26071157
327301152
444681152
549611152

prune43.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh112
Picked011
Done101
Total74478
Error
0.0b
Counts
78 → 4
Alt Table
StatusErrorProgram
9.3b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.2b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
2.1b
(+.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) 0)
2.2b
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
Compiler

Compiled 1425 to 301 computations (78.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 (fma.f64 y x x) z) x)
2.0b
(/.f64 (fma.f64 y x x) z)

series28.0ms (1%)

Counts
2 → 72
Calls

2 calls:

15.0ms
(-.f64 (/.f64 (fma.f64 y x x) z) x)
13.0ms
(/.f64 (fma.f64 y x x) z)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64
54×*-un-lft-identity_binary64
52×add-cube-cbrt_binary64
46×times-frac_binary64
39×prod-diff_binary64
Counts
2 → 100
Calls

2 calls:

6.0ms
(-.f64 (/.f64 (fma.f64 y x x) z) x)
2.0ms
(/.f64 (fma.f64 y x x) z)

simplify118.0ms (4.2%)

Algorithm
egg-herbie
Rules
502×fma-def_binary64
431×fma-neg_binary64
395×times-frac_binary64
374×associate-/l*_binary64
228×associate-*l/_binary64
Counts
172 → 149
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01553072
12672971
29472007
338161989
448811989
548971989

prune79.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done011
Total1494153
Error
0.0b
Counts
153 → 4
Alt Table
StatusErrorProgram
9.3b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.2b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
2.1b
(+.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) 0)
2.2b
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
Compiler

Compiled 3446 to 936 computations (72.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 y z) (/.f64 1 z))
2.1b
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)

series27.0ms (1%)

Counts
2 → 39
Calls

2 calls:

21.0ms
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
6.0ms
(+.f64 (/.f64 y z) (/.f64 1 z))

rewrite32.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity_binary64
19×add-sqr-sqrt_binary64
16×times-frac_binary64
13×fma-def_binary64
13×add-cube-cbrt_binary64
Counts
2 → 64
Calls

2 calls:

15.0ms
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
13.0ms
(+.f64 (/.f64 y z) (/.f64 1 z))

simplify81.0ms (2.9%)

Algorithm
egg-herbie
Rules
587×fma-neg_binary64
450×associate-+l+_binary64
382×associate-/l*_binary64
350×distribute-rgt-in_binary64
333×distribute-lft-in_binary64
Counts
103 → 101
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0981302
12241231
26681044
32297971
44619969
55046969

prune69.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh011
Picked011
Done022
Total1005105
Error
0b
Counts
105 → 5
Alt Table
StatusErrorProgram
9.3b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.2b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
2.1b
(+.f64 (-.f64 (/.f64 (fma.f64 y x x) z) x) 0)
2.2b
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1) x)
46.7b
(*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) 1)) (*.f64 x (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 y) z)))))
Compiler

Compiled 1782 to 1001 computations (43.8% saved)

regimes223.0ms (7.9%)

Accuracy

Total 1.8b remaining (99.4%)

Threshold costs 0b (0%)

Counts
47 → 2
Compiler

Compiled 2472 to 1478 computations (40.2% saved)

bsearch1.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02145
13245
23845
34245
44445
54345

end73.0ms (2.6%)

Compiler

Compiled 145 to 90 computations (37.9% saved)

Profiling

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