Details

Time bar (total: 1.5s)

analyze21.0ms (1.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample562.0ms (36.3%)

Infinites
12.5% of outputs are infinite.
Results
513.0ms8256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify8.0ms (0.5%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2117
3117

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (*.f64 y 3))

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(/.f64 x (*.f64 y 3))

rewrite4.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/l*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

3.0ms
(/.f64 x (*.f64 y 3))

simplify112.0ms (7.2%)

Algorithm
egg-herbie
Rules
792×associate-/r/_binary64
775×fma-neg_binary64
733×div-sub_binary64
652×associate-/l*_binary64
645×fma-def_binary64
Counts
47 → 35
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054431
1114382
2323382
3996382
41835382
51973382
62494382
73625382
83673382
93774382
104124382
114359382
124669382

prune27.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636
Error
0.0b
Counts
36 → 6
Alt Table
StatusErrorProgram
1.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y 3))) (cbrt.f64 (/.f64 x (*.f64 y 3)))) (cbrt.f64 (/.f64 x (*.f64 y 3))))
0.2b
(/.f64 (/.f64 x y) 3)
0.2b
(/.f64 x (*.f64 y 3))
0.2b
(*.f64 1/3 (/.f64 x y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x 3))
1.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) 3))
Compiler

Compiled 460 to 289 computations (37.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 y) (/.f64 x 3))

series7.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

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

rewrite12.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
25×times-frac_binary64
23×add-exp-log_binary64
17×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
Counts
1 → 58
Calls

1 calls:

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

simplify105.0ms (6.8%)

Algorithm
egg-herbie
Rules
1079×associate-/l/_binary64
509×sqr-pow_binary64
303×associate-*l/_binary64
295×*-commutative_binary64
292×pow-sqr_binary64
Counts
82 → 94
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104927
1246803
2729803
31704803
41956803
52273803
62651803
73006803
83463803
95290803

prune59.0ms (3.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92294
Fresh314
Picked011
Done011
Total955100
Error
0b
Counts
100 → 5
Alt Table
StatusErrorProgram
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) 3)
0.2b
(/.f64 x (*.f64 y 3))
0.2b
(*.f64 1/3 (/.f64 x y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x 3))
0.6b
(*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 3)) (/.f64 x (sqrt.f64 3)))
Compiler

Compiled 1343 to 925 computations (31.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) 3)
0.2b
(*.f64 (/.f64 1 y) x)

series14.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

7.0ms
(/.f64 (*.f64 (/.f64 1 y) x) 3)
6.0ms
(*.f64 (/.f64 1 y) x)

rewrite14.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
19×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
14×times-frac_binary64
13×associate-*l*_binary64
Counts
2 → 65
Calls

2 calls:

6.0ms
(*.f64 (/.f64 1 y) x)
5.0ms
(/.f64 (*.f64 (/.f64 1 y) x) 3)

simplify130.0ms (8.4%)

Algorithm
egg-herbie
Rules
770×fma-neg_binary64
573×div-sub_binary64
484×sqr-pow_binary64
432×fabs-mul_binary64
308×associate-/l*_binary64
Counts
113 → 104
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101884
1198779
2608779
31662779
41897779
52194779
62624779
73863779
84106779
94867779
104937779

prune65.0ms (4.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done022
Total1045109
Error
0b
Counts
109 → 5
Alt Table
StatusErrorProgram
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) 3)
0.2b
(/.f64 x (*.f64 y 3))
0.2b
(*.f64 1/3 (/.f64 x y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x 3))
0.6b
(*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 3)) (/.f64 x (sqrt.f64 3)))
Compiler

Compiled 1296 to 866 computations (33.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/3 (/.f64 x y))

series8.0ms (0.5%)

Counts
1 → 0
Calls

1 calls:

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

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 34
Calls

1 calls:

6.0ms
(*.f64 1/3 (/.f64 x y))

simplify102.0ms (6.6%)

Algorithm
egg-herbie
Rules
907×associate-/l/_binary64
791×times-frac_binary64
407×associate-/l*_binary64
344×pow-sqr_binary64
338×associate-*l/_binary64
Counts
34 → 41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072381
1156345
2389344
3850344
41898344
52022344
62194344
72429344
82952344
93249344
104848344
114927344
124924344

prune23.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done033
Total41546
Error
0b
Counts
46 → 5
Alt Table
StatusErrorProgram
0.2b
(/.f64 (*.f64 (/.f64 1 y) x) 3)
0.2b
(/.f64 x (*.f64 y 3))
0.2b
(*.f64 1/3 (/.f64 x y))
0.2b
(*.f64 (/.f64 1 y) (/.f64 x 3))
0.6b
(*.f64 (/.f64 (/.f64 1 y) (sqrt.f64 3)) (/.f64 x (sqrt.f64 3)))
Compiler

Compiled 502 to 267 computations (46.8% saved)

regimes181.0ms (11.7%)

Accuracy

Total 0.2b remaining (95.1%)

Threshold costs 0.2b (95.1%)

Counts
29 → 1
Compiler

Compiled 1292 to 958 computations (25.9% saved)

simplify5.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
277

end58.0ms (3.7%)

Compiler

Compiled 59 to 45 computations (23.7% saved)

Profiling

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