Details

Time bar (total: 1.8s)

analyze92.0ms (5.1%)

Algorithm
1×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%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample808.0ms (44.4%)

Results
757.0ms8256×body128valid
15.0ms165×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
13×associate-*l*_binary64
11×associate-*r*_binary64
10×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22810
33610
43510
53510

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series18.0ms (1%)

Counts
2 → 48
Calls

2 calls:

13.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
4.0ms
(*.f64 (*.f64 x 3) y)

rewrite13.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

7.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
4.0ms
(*.f64 (*.f64 x 3) y)

simplify78.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
665×fma-def_binary64
371×associate-*r/_binary64
317×*-commutative_binary64
296×associate-*l/_binary64
272×associate-/l*_binary64
Counts
91 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068960
1166852
2587852
3878850
41232850
52115850
64694850
74991850

prune48.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864
Error
0.0b
Counts
64 → 8
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
✓0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
▶0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
1.0b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) y)
9.5b
(*.f64 (*.f64 x 3) (*.f64 y y))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
27.7b
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (*.f64 y x))) 3))
Compiler

Compiled 993 to 579 computations (41.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series17.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
5.0ms
(*.f64 x (*.f64 3 y))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
4.0ms
(*.f64 x (*.f64 3 y))

simplify83.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
687×fma-def_binary64
412×*-commutative_binary64
332×associate-*r/_binary64
298×associate-/l*_binary64
279×associate-/l/_binary64
Counts
91 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070961
1165853
2671853
3981851
41367851
52292851
64887851
75170851

prune42.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh336
Picked011
Done011
Total66672
Error
0.0b
Counts
72 → 6
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
✓0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
9.5b
(*.f64 (*.f64 x 3) (*.f64 y y))
9.5b
(*.f64 x (*.f64 (*.f64 3 y) y))
Compiler

Compiled 881 to 500 computations (43.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series21.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
10.0ms
(*.f64 y (*.f64 y x))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
3.0ms
(*.f64 y (*.f64 y x))

simplify87.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
475×unswap-sqr_binary64
366×times-frac_binary64
338×associate-+l+_binary64
333×sqr-pow_binary64
318×*-commutative_binary64
Counts
91 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064965
1143848
2504848
3772846
41133846
52151846
63985846
74494846
84862846

prune35.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New59261
Fresh123
Picked011
Done022
Total60767
Error
0b
Counts
67 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
23.0b
(*.f64 3 (*.f64 (sqrt.f64 (*.f64 y (*.f64 y x))) (sqrt.f64 (*.f64 y (*.f64 y x)))))
▶0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
9.5b
(*.f64 (*.f64 x 3) (*.f64 y y))
9.5b
(*.f64 x (*.f64 (*.f64 3 y) y))
Compiler

Compiled 879 to 390 computations (55.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (*.f64 y x))
✓0.3b
(*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x)))
✓0.4b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))

series44.0ms (2.4%)

Counts
2 → 48
Calls

2 calls:

29.0ms
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
15.0ms
(*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x)))

rewrite19.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
25×add-cbrt-cube_binary64
25×add-exp-log_binary64
25×pow1_binary64
16×cbrt-unprod_binary64
16×prod-exp_binary64
Counts
2 → 55
Calls

2 calls:

8.0ms
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
7.0ms
(*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x)))

simplify94.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
766×unswap-sqr_binary64
410×*-commutative_binary64
379×associate-+l+_binary64
241×associate-*r*_binary64
232×associate-+r+_binary64
Counts
103 → 76
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0801417
12071240
26941240
312151232
419471232
549511232
649771232
750021232

prune76.0ms (4.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done033
Total1057112
Error
0b
Counts
112 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
23.0b
(*.f64 3 (*.f64 (sqrt.f64 (*.f64 y (*.f64 y x))) (sqrt.f64 (*.f64 y (*.f64 y x)))))
✓0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
9.5b
(*.f64 (*.f64 x 3) (*.f64 y y))
9.5b
(*.f64 x (*.f64 (*.f64 3 y) y))
Compiler

Compiled 1840 to 1092 computations (40.7% saved)

regimes117.0ms (6.4%)

Accuracy

Total 0.2b remaining (93.1%)

Threshold costs 0.2b (93.1%)

Counts
22 → 1
Compiler

Compiled 1621 to 1097 computations (32.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end71.0ms (3.9%)

Compiler

Compiled 93 to 60 computations (35.5% saved)

Profiling

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