Details

Time bar (total: 3.8s)

analyze159.0ms (4.2%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
71.8%6.9%21.3%13
72.6%5.4%22%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample933.0ms (24.3%)

Results
835.0ms8256×body128valid
31.0ms324×body128invalid
Compiler

Compiled 41 to 32 computations (22% saved)

simplify82.0ms (2.1%)

Algorithm
egg-herbie
Rules
877×div-sub_binary64
637×sub-neg_binary64
618×unsub-neg_binary64
440×neg-sub0_binary64
439×neg-mul-1_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
12416
27116
319216
463416
5191416
6330416
7424116
8467416
9493116

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
4.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
4.8b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
Compiler

Compiled 50 to 38 computations (24% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) (-.f64 3 x))
4.5b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))

series18.0ms (0.5%)

Counts
2 → 36
Calls

2 calls:

12.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
5.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))

rewrite23.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
18×prod-diff_binary64
18×add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
Counts
2 → 90
Calls

2 calls:

9.0ms
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
8.0ms
(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify91.0ms (2.4%)

Algorithm
egg-herbie
Rules
852×fma-def_binary64
614×associate-/r*_binary64
196×associate-*l*_binary64
194×associate-/l/_binary64
174×associate-*r*_binary64
Counts
126 → 154
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02152319
15082006
222041772
348551760
448651760

prune124.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1495154
Fresh000
Picked011
Done000
Total1496155
Error
0b
Counts
155 → 6
Alt Table
StatusErrorProgram
0.2b
(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
0.2b
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
4.8b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
4.4b
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
0.1b
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.2b
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
Compiler

Compiled 3328 to 2254 computations (32.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 3 x) 3)
0.1b
(/.f64 y (/.f64 (-.f64 3 x) 3))
0.1b
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))

series26.0ms (0.7%)

Counts
3 → 60
Calls

3 calls:

12.0ms
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
12.0ms
(/.f64 y (/.f64 (-.f64 3 x) 3))
2.0ms
(/.f64 (-.f64 3 x) 3)

rewrite134.0ms (3.5%)

Algorithm
rewrite-expression-head
Rules
1218×times-frac_binary64
808×*-un-lft-identity_binary64
808×add-sqr-sqrt_binary64
461×add-cube-cbrt_binary64
205×difference-of-squares_binary64
Counts
3 → 598
Calls

3 calls:

18.0ms
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
8.0ms
(/.f64 y (/.f64 (-.f64 3 x) 3))
4.0ms
(/.f64 (-.f64 3 x) 3)

simplify371.0ms (9.7%)

Algorithm
egg-herbie
Rules
554×associate-/l/_binary64
532×associate-/r*_binary64
489×associate-/r/_binary64
395×associate-/l*_binary64
278×div-sub_binary64
Counts
658 → 750
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074021081
1201020780
2523720780

prune641.0ms (16.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New7500750
Fresh044
Picked011
Done011
Total7506756
Error
0b
Counts
756 → 6
Alt Table
StatusErrorProgram
0.2b
(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
0.2b
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
4.8b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
4.4b
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
0.1b
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.2b
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
Compiler

Compiled 19425 to 13918 computations (28.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 x) y)
0.0b
(/.f64 (-.f64 3 x) 3)
0.1b
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

series19.0ms (0.5%)

Counts
2 → 40
Calls

2 calls:

12.0ms
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
7.0ms
(/.f64 (-.f64 1 x) y)

rewrite29.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt_binary64
59×*-un-lft-identity_binary64
55×times-frac_binary64
32×add-cube-cbrt_binary64
22×associate-*l*_binary64
Counts
2 → 111
Calls

2 calls:

14.0ms
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
5.0ms
(/.f64 (-.f64 1 x) y)

simplify74.0ms (1.9%)

Algorithm
egg-herbie
Rules
523×distribute-rgt-in_binary64
502×distribute-lft-in_binary64
476×times-frac_binary64
235×fma-def_binary64
146×associate-*l/_binary64
Counts
151 → 156
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922665
15222432
217672402
353272402

prune181.0ms (4.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2090209
Fresh033
Picked011
Done022
Total2096215
Error
0b
Counts
215 → 6
Alt Table
StatusErrorProgram
0.2b
(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
0.2b
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
4.8b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
4.4b
(/.f64 (+.f64 1 (*.f64 x (fma.f64 1/3 x -4/3))) y)
0.1b
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.2b
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
Compiler

Compiled 4009 to 2885 computations (28% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
0.1b
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))
0.1b
(*.f64 (/.f64 x y) x)

series44.0ms (1.2%)

Counts
3 → 72
Calls

3 calls:

17.0ms
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
16.0ms
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))
11.0ms
(*.f64 (/.f64 x y) x)

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
13×associate-*l*_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
10×times-frac_binary64
Counts
3 → 54
Calls

3 calls:

7.0ms
(*.f64 (/.f64 x y) x)
0.0ms
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))
0.0ms
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))

simplify192.0ms (5%)

Algorithm
egg-herbie
Rules
580×distribute-rgt-in_binary64
565×distribute-lft-in_binary64
411×fma-def_binary64
269×fma-neg_binary64
234×associate-*l*_binary64
Counts
126 → 106
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061832
12281631
25421453
317581356
448491356
549391356

prune170.0ms (4.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1051106
Fresh112
Picked011
Done033
Total1066112
Error
0b
Counts
112 → 6
Alt Table
StatusErrorProgram
0.2b
(/.f64 (-.f64 1 x) (/.f64 (*.f64 y 3) (-.f64 3 x)))
0.2b
(fma.f64 (/.f64 x y) -4/3 (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
4.8b
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3))
4.4b
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
0.1b
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.2b
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
Compiler

Compiled 2205 to 1056 computations (52.1% saved)

regimes396.0ms (10.3%)

Accuracy

Total 0.2b remaining (93.9%)

Threshold costs 0.2b (93.9%)

Counts
59 → 1
Compiler

Compiled 3829 to 2890 computations (24.5% 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
01119
11819
22319
32519
42619
52519

end84.0ms (2.2%)

Compiler

Compiled 110 to 82 computations (25.5% saved)

Profiling

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