Details

Time bar (total: 3.0s)

analyze530.0ms (17.9%)

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 (36.4%)

Results
853.0ms8256×body128valid
111.0ms1014×body128invalid
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify53.0ms (1.8%)

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
8.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
8.1b
(/.f64 (fma.f64 x (-.f64 y z) x) z)
8.1b
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
Compiler

Compiled 66 to 38 computations (42.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (-.f64 y z) x)
7.6b
(/.f64 (fma.f64 x (-.f64 y z) x) z)

series24.0ms (0.8%)

Counts
2 → 72
Calls

2 calls:

15.0ms
(/.f64 (fma.f64 x (-.f64 y z) x) z)
9.0ms
(fma.f64 x (-.f64 y z) x)

rewrite4.0ms (0.1%)

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)

simplify73.0ms (2.5%)

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

prune47.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh101
Picked101
Done000
Total70575
Error
0.0b
Counts
75 → 5
Alt Table
StatusErrorProgram
1.6b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
8.3b
(*.f64 (fma.f64 x (-.f64 y z) x) (/.f64 1 z))
8.2b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
34.7b
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) x)) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) x)) z))
2.8b
(-.f64 (/.f64 (fma.f64 y x x) z) x)
Compiler

Compiled 1095 to 269 computations (75.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
2.9b
(fma.f64 (/.f64 x z) y (/.f64 x z))

series39.0ms (1.3%)

Counts
2 → 72
Calls

2 calls:

20.0ms
(fma.f64 (/.f64 x z) y (/.f64 x z))
19.0ms
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)

rewrite5.0ms (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%)

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

prune41.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh314
Picked011
Done000
Total76379
Error
0b
Counts
79 → 3
Alt Table
StatusErrorProgram
8.2b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.1b
(-.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x) x)
1.6b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
Compiler

Compiled 1399 to 283 computations (79.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x) x)
0.0b
(+.f64 (/.f64 y z) (/.f64 1 z))
3.1b
(*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x)

series49.0ms (1.7%)

Counts
3 → 75
Calls

3 calls:

21.0ms
(*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x)
17.0ms
(-.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x) x)
11.0ms
(+.f64 (/.f64 y z) (/.f64 1 z))

rewrite40.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity_binary64
23×times-frac_binary64
20×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
13×fma-def_binary64
Counts
3 → 89
Calls

3 calls:

13.0ms
(*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x)
11.0ms
(-.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x) x)
11.0ms
(+.f64 (/.f64 y z) (/.f64 1 z))

simplify84.0ms (2.8%)

Algorithm
egg-herbie
Rules
757×times-frac_binary64
585×fma-def_binary64
393×fma-neg_binary64
381×distribute-rgt-in_binary64
362×distribute-lft-in_binary64
Counts
164 → 145
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01342112
13012041
212251572
338191517
449891517

prune90.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh011
Picked011
Done011
Total1453148
Error
0b
Counts
148 → 3
Alt Table
StatusErrorProgram
8.2b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.1b
(-.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x) x)
1.6b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
Compiler

Compiled 2461 to 1145 computations (53.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (-.f64 y z) x)
0.2b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
7.6b
(/.f64 z (fma.f64 x (-.f64 y z) x))

series54.0ms (1.8%)

Counts
2 → 72
Calls

2 calls:

37.0ms
(/.f64 z (fma.f64 x (-.f64 y z) x))
17.0ms
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 107
Calls

2 calls:

4.0ms
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
2.0ms
(/.f64 z (fma.f64 x (-.f64 y z) x))

simplify127.0ms (4.3%)

Algorithm
egg-herbie
Rules
503×fma-def_binary64
328×associate-/r/_binary64
252×associate-/l/_binary64
244×distribute-rgt-in_binary64
206×fma-neg_binary64
Counts
179 → 183
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02284400
15894133
221513919
348083919
449683919

prune88.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2040204
Fresh000
Picked011
Done022
Total2043207
Error
0b
Counts
207 → 3
Alt Table
StatusErrorProgram
8.2b
(/.f64 1 (/.f64 z (fma.f64 x (-.f64 y z) x)))
3.1b
(-.f64 (*.f64 (+.f64 (/.f64 y z) (/.f64 1 z)) x) x)
1.6b
(-.f64 (fma.f64 (/.f64 x z) y (/.f64 x z)) x)
Compiler

Compiled 4402 to 1452 computations (67% saved)

regimes341.0ms (11.5%)

Accuracy

Total 0.1b remaining (74.9%)

Threshold costs 0.1b (74.9%)

Counts
63 → 3
Compiler

Compiled 3268 to 1914 computations (41.4% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 12 to 8 computations (33.3% 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
02375
13275
24075
34475
44675
54575

end56.0ms (1.9%)

Compiler

Compiled 150 to 71 computations (52.7% saved)

Profiling

Loading profile data...