Details

Time bar (total: 1.5s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample496.0ms (32%)

Results
467.0ms8256×body128valid
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
7.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶7.8b
(*.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
✓0.2b
(*.f64 (*.f64 x 3) x)
✓7.7b
(*.f64 (*.f64 (*.f64 x 3) x) y)

series13.0ms (0.8%)

Counts
2 → 36
Calls

2 calls:

10.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
3.0ms
(*.f64 (*.f64 x 3) x)

rewrite21.0ms (1.4%)

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:

15.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
4.0ms
(*.f64 (*.f64 x 3) x)

simplify59.0ms (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

prune45.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New62365
Fresh000
Picked011
Done000
Total62466
Error
0.0b
Counts
66 → 4
Alt Table
StatusErrorProgram
7.8b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
8.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓7.8b
(*.f64 (*.f64 (*.f64 x 3) x) y)
Compiler

Compiled 859 to 488 computations (43.2% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(*.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))

simplify75.0ms (4.8%)

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

prune24.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh022
Picked011
Done101
Total31536
Error
0.0b
Counts
36 → 5
Alt Table
StatusErrorProgram
7.8b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
19.7b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) (*.f64 x y)) (*.f64 (*.f64 x 3) (*.f64 x y))) (*.f64 (*.f64 x 3) (*.f64 x y))))
8.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
▶0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
Compiler

Compiled 539 to 283 computations (47.5% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 3 (*.f64 x y)))
✓0.3b
(*.f64 3 (*.f64 x y))

series51.0ms (3.3%)

Counts
2 → 48
Calls

2 calls:

46.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
4.0ms
(*.f64 3 (*.f64 x y))

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

simplify73.0ms (4.7%)

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

prune49.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59362
Fresh033
Picked011
Done011
Total59867
Error
0.0b
Counts
67 → 8
Alt Table
StatusErrorProgram
7.8b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
32.4b
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 3 y) (pow.f64 x 3/2)))
19.7b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) (*.f64 x y)) (*.f64 (*.f64 x 3) (*.f64 x y))) (*.f64 (*.f64 x 3) (*.f64 x y))))
▶0.3b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
13.4b
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)))
8.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
Compiler

Compiled 963 to 529 computations (45.1% saved)

localize14.0ms (0.9%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
✓0.2b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y)))
✓0.3b
(*.f64 (cbrt.f64 3) (*.f64 x y))

series87.0ms (5.6%)

Counts
3 → 72
Calls

3 calls:

40.0ms
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
34.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y)))
12.0ms
(*.f64 (cbrt.f64 3) (*.f64 x y))

rewrite32.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
58×add-exp-log_binary64
58×pow1_binary64
40×cbrt-unprod_binary64
40×prod-exp_binary64
40×pow-prod-down_binary64
Counts
3 → 88
Calls

3 calls:

12.0ms
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
8.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y)))
4.0ms
(*.f64 (cbrt.f64 3) (*.f64 x y))

simplify105.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
668×fma-def_binary64
553×*-commutative_binary64
458×unswap-sqr_binary64
397×associate-+l+_binary64
274×associate-*r*_binary64
Counts
160 → 112
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091876
12301540
29321540
316501538
424771538
547321538
652101538

prune136.0ms (8.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh145
Picked011
Done022
Total1119120
Error
0b
Counts
120 → 9
Alt Table
StatusErrorProgram
7.8b
(*.f64 (*.f64 3 (pow.f64 x 2)) y)
0.2b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 x y)))))
✓0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
19.7b
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 (*.f64 y x))) 3))
32.4b
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 3 y) (pow.f64 x 3/2)))
✓0.3b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 x y))))
13.4b
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)))
8.2b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓0.2b
(*.f64 (*.f64 x 3) (*.f64 x y))
Compiler

Compiled 2280 to 1582 computations (30.6% saved)

regimes110.0ms (7.1%)

Accuracy

Total 0.2b remaining (89.2%)

Threshold costs 0.2b (89.2%)

Counts
28 → 1
Compiler

Compiled 1852 to 1269 computations (31.5% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end106.0ms (6.8%)

Compiler

Compiled 134 to 98 computations (26.9% saved)

Profiling

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