Details

Time bar (total: 1.4s)

analyze66.0ms (4.8%)

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
50%50%0.1%5
56.2%43.7%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample26.0ms (1.9%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify6.0ms (0.4%)

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 (0.5%)

Counts
1 → 24
Calls

1 calls:

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

rewrite4.0ms (0.3%)

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))

simplify113.0ms (8.1%)

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

prune25.0ms (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
0.3b
(/.f64 (/.f64 x y) 3)
0.3b
(*.f64 x (/.f64 1/3 y))
0.9b
(/.f64 1 (/.f64 y (/.f64 x 3)))
32.6b
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 3))
1.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) 3))
0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 438 to 271 computations (38.1% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 x y) 3)

series7.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

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

rewrite10.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
1 → 72
Calls

1 calls:

5.0ms
(/.f64 (/.f64 x y) 3)

simplify166.0ms (12%)

Algorithm
egg-herbie
Rules
467×fma-neg_binary64
395×associate-*l/_binary64
383×associate-/r/_binary64
358×distribute-rgt-in_binary64
354×sqr-pow_binary64
Counts
96 → 100
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01541418
13221370
27171370
315441370
426621370
527251370
631921370
743301370
841731370
944941370
1049991370
1147751370

prune55.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh224
Picked011
Done011
Total1015106
Error
0b
Counts
106 → 5
Alt Table
StatusErrorProgram
0.3b
(/.f64 (/.f64 x y) 3)
0.3b
(*.f64 x (/.f64 1/3 y))
0.9b
(/.f64 1 (/.f64 y (/.f64 x 3)))
0.6b
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 (/.f64 1 y) (sqrt.f64 3)))
0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 1410 to 707 computations (49.9% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (/.f64 1/3 y))
0.4b
(/.f64 1/3 y)

series10.0ms (0.7%)

Counts
2 → 24
Calls

2 calls:

6.0ms
(*.f64 x (/.f64 1/3 y))
3.0ms
(/.f64 1/3 y)

rewrite9.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 63
Calls

2 calls:

5.0ms
(*.f64 x (/.f64 1/3 y))
2.0ms
(/.f64 1/3 y)

simplify128.0ms (9.2%)

Algorithm
egg-herbie
Rules
513×fabs-mul_binary64
440×pow-sqr_binary64
384×sqr-pow_binary64
373×associate-/l/_binary64
344×fma-def_binary64
Counts
87 → 86
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093839
1181776
2562775
31366775
42186775
52290775
62638775
73161775
83624775
94347775
104877775
114987775

prune41.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh112
Picked011
Done022
Total86591
Error
0b
Counts
91 → 5
Alt Table
StatusErrorProgram
0.3b
(/.f64 (/.f64 x y) 3)
0.3b
(*.f64 x (/.f64 1/3 y))
0.6b
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 (/.f64 1 y) (sqrt.f64 3)))
0.3b
(/.f64 (*.f64 x 1/3) y)
0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 973 to 630 computations (35.3% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 x 1/3) y)
0.3b
(*.f64 x 1/3)

series9.0ms (0.7%)

Counts
2 → 36
Calls

2 calls:

6.0ms
(/.f64 (*.f64 x 1/3) y)
3.0ms
(*.f64 x 1/3)

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 43
Calls

2 calls:

3.0ms
(/.f64 (*.f64 x 1/3) y)
3.0ms
(*.f64 x 1/3)

simplify105.0ms (7.6%)

Algorithm
egg-herbie
Rules
936×fma-neg_binary64
647×div-sub_binary64
394×associate-/l*_binary64
365×*-commutative_binary64
345×times-frac_binary64
Counts
79 → 67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073617
1148559
2527558
32109558
42410558
52617558
63223558
74309558
84978558
94839558

prune31.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh011
Picked011
Done033
Total67572
Error
0b
Counts
72 → 5
Alt Table
StatusErrorProgram
0.3b
(/.f64 (/.f64 x y) 3)
0.3b
(*.f64 x (/.f64 1/3 y))
0.6b
(*.f64 (/.f64 x (sqrt.f64 3)) (/.f64 (/.f64 1 y) (sqrt.f64 3)))
0.3b
(/.f64 (*.f64 x 1/3) y)
0.2b
(/.f64 x (*.f64 y 3))
Compiler

Compiled 662 to 423 computations (36.1% saved)

regimes97.0ms (7%)

Accuracy

Total 0.2b remaining (96.6%)

Threshold costs 0.2b (96.6%)

Counts
26 → 1
Compiler

Compiled 1272 to 966 computations (24.1% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
277

end0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample449.0ms (32.4%)

Algorithm
intervals
Results
198.0ms8000×body128valid
4.0ms179×body128invalid
Compiler

Compiled 58 to 44 computations (24.1% saved)

Profiling

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