Details

Time bar (total: 1.6s)

analyze87.0ms (5.3%)

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%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample744.0ms (45.1%)

Results
703.0ms8256×body128valid
9.0ms112×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22510
33710
43510
53510

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
8.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶8.1b
(*.f64 (*.f64 (*.f64 x 3) x) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x 3) x)
✓7.8b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series18.0ms (1.1%)

Counts
2 → 36
Calls

2 calls:

15.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
2.0ms
(*.f64 (*.f64 x 3) x)

rewrite11.0ms (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:

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

simplify63.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
440×associate-*r/_binary64
375×associate-*l/_binary64
339×*-commutative_binary64
290×fma-def_binary64
282×associate-/l*_binary64
Counts
79 → 65
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071876
1161768
2584759
3876757
41256757
52112757
64966757

prune52.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60565
Fresh000
Picked011
Done000
Total60666
Error
0.1b
Counts
66 → 6
Alt Table
StatusErrorProgram
33.6b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (sqrt.f64 y)) (sqrt.f64 y))
8.6b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
28.6b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) x) y) (*.f64 (*.f64 (*.f64 x 3) x) y)) (*.f64 (*.f64 (*.f64 x 3) x) y)))
✓8.1b
(*.f64 (*.f64 (*.f64 x 3) x) y)
8.1b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 937 to 538 computations (42.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
13×pow1_binary64
8×cbrt-unprod_binary64
8×prod-exp_binary64
Counts
1 → 24
Calls

1 calls:

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

simplify73.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
395×distribute-rgt-in_binary64
362×distribute-lft-in_binary64
340×associate-+l+_binary64
315×*-commutative_binary64
265×sqr-pow_binary64
Counts
48 → 32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051607
1126517
2460517
3693517
4986517
51692517
63166517
74660517
84916517

prune25.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New29332
Fresh224
Picked011
Done011
Total31738
Error
0.0b
Counts
38 → 7
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
22.5b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y)))) (cbrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
8.6b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓8.1b
(*.f64 (*.f64 (*.f64 x 3) x) y)
8.1b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 590 to 317 computations (46.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
5.0ms
(*.f64 3 (*.f64 x y))

rewrite16.0ms (1%)

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:

9.0ms
(*.f64 3 (*.f64 x y))
5.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))

simplify76.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
344×*-commutative_binary64
339×associate-+l+_binary64
329×associate-*r/_binary64
308×associate-*l/_binary64
268×log-div_binary64
Counts
91 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067956
1150848
2519848
3801846
41133846
51889846
64731846
75047846

prune53.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New59362
Fresh224
Picked011
Done022
Total61869
Error
0.0b
Counts
69 → 8
Alt Table
StatusErrorProgram
8.1b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
0.9b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 3 (*.f64 x y))))
✓0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
22.5b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓8.1b
(*.f64 (*.f64 (*.f64 x 3) x) y)
▶0.3b
(*.f64 x (*.f64 (*.f64 3 x) y))
0.5b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
Compiler

Compiled 922 to 499 computations (45.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(*.f64 x (*.f64 (*.f64 3 x) y))
5.0ms
(*.f64 (*.f64 3 x) y)

rewrite12.0ms (0.8%)

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

simplify81.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
696×fma-def_binary64
405×*-commutative_binary64
349×associate-*r/_binary64
310×associate-*l/_binary64
266×associate-/l*_binary64
Counts
91 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070961
1164853
2653853
3963851
41368851
52243851
64782851
75063851

prune49.0ms (3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New61061
Fresh044
Picked011
Done033
Total61869
Error
0.0b
Counts
69 → 8
Alt Table
StatusErrorProgram
8.1b
(*.f64 3 (*.f64 y (pow.f64 x 2)))
0.9b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 3 (*.f64 x y))))
✓0.3b
(*.f64 x (*.f64 3 (*.f64 x y)))
22.5b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x 3) (*.f64 x y))))
✓0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓8.1b
(*.f64 (*.f64 (*.f64 x 3) x) y)
✓0.3b
(*.f64 x (*.f64 (*.f64 3 x) y))
0.5b
(*.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 x y))))
Compiler

Compiled 838 to 482 computations (42.5% saved)

regimes127.0ms (7.7%)

Accuracy

Total 0.2b remaining (90.8%)

Threshold costs 0.2b (90.8%)

Counts
30 → 1
Compiler

Compiled 1840 to 1257 computations (31.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end86.0ms (5.2%)

Compiler

Compiled 111 to 74 computations (33.3% saved)

Profiling

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