Details

Time bar (total: 5.8s)

analyze3.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
50%12.5%37.5%4
50%6.2%43.8%5
50%3.1%46.9%6
50%1.6%48.5%7
50%0.8%49.2%8
50%0.4%49.6%9
50%0.2%49.8%10
50%0.1%49.9%11
50%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample763.0ms (13.3%)

Infinites
0.5% of outputs are infinite.
Results
699.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
256

prune2.0ms (0%)

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 (log.f64 x))
Compiler

Compiled 15 to 9 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (log.f64 x))

series47.0ms (0.8%)

Counts
1 → 12
Calls

1 calls:

47.0ms
(*.f64 x (log.f64 x))

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64
6×log-prod_binary64
5×*-un-lft-identity_binary64
5×add-cube-cbrt_binary64
4×associate-*r*_binary64
Counts
1 → 27
Calls

1 calls:

5.0ms
(*.f64 x (log.f64 x))

simplify111.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1025×fma-def_binary64
501×sub-neg_binary64
395×div-sub_binary64
347×fma-neg_binary64
343×distribute-rgt-neg-out_binary64
Counts
39 → 33
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057359
196325
2258325
3452325
41256325
52761325
64564325
75019325

prune31.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New27633
Fresh000
Picked011
Done000
Total27734
Error
0.0b
Counts
34 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 x (log.f64 x))
32.8b
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
1.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
0.5b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
▶0.4b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
Compiler

Compiled 463 to 176 computations (62% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
✓0.2b
(*.f64 x (log.f64 (cbrt.f64 x)))
✓0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.6b
(cbrt.f64 x)

series2.0s (34.1%)

Counts
4 → 48
Calls

4 calls:

664.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
643.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
613.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
42.0ms
(cbrt.f64 x)

rewrite18.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
24×log-prod_binary64
18×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64
15×cbrt-prod_binary64
Counts
4 → 94
Calls

4 calls:

5.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
4.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
4.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms
(cbrt.f64 x)

simplify119.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
567×fma-def_binary64
553×fma-neg_binary64
539×*-commutative_binary64
343×distribute-rgt-in_binary64
313×distribute-lft-in_binary64
Counts
142 → 148
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01461944
13311653
213511504
340651496
449201496
549311496

prune129.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1606166
Fresh415
Picked101
Done011
Total1658173
Error
0b
Counts
173 → 8
Alt Table
StatusErrorProgram
0.4b
(+.f64 (*.f64 x (fma.f64 2/3 (log.f64 x) (log.f64 (cbrt.f64 (sqrt.f64 x))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
0.4b
(+.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x)) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
✓0.2b
(*.f64 x (log.f64 x))
0.5b
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) 2/3))) (*.f64 x (log.f64 (cbrt.f64 x))))
▶0.3b
(+.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) x)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) x))
0.4b
(+.f64 (*.f64 x (fma.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (log.f64 x) 2/3))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) x))
1.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
0.4b
(+.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)))
Compiler

Compiled 3233 to 1304 computations (59.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
✓0.6b
(cbrt.f64 (cbrt.f64 x))
✓0.6b
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))

series973.0ms (16.9%)

Counts
3 → 36
Calls

3 calls:

459.0ms
(cbrt.f64 (cbrt.f64 x))
440.0ms
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
74.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite20.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
26×cbrt-prod_binary64
21×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
10×pow1_binary64
Counts
3 → 69
Calls

3 calls:

9.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
2.0ms
(cbrt.f64 (cbrt.f64 x))

simplify130.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
688×log-prod_binary64
515×unswap-sqr_binary64
511×associate-*l*_binary64
353×sqr-pow_binary64
327×associate-*r*_binary64
Counts
105 → 98
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
078927
1129927
2379873
31413809
42318781
52525781
64672781
74850781

prune249.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh066
Picked011
Done011
Total1708178
Error
0b
Counts
178 → 8
Alt Table
StatusErrorProgram
0.4b
(+.f64 (*.f64 x (fma.f64 2/3 (log.f64 x) (log.f64 (cbrt.f64 (sqrt.f64 x))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
0.4b
(+.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x)) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
✓0.2b
(*.f64 x (log.f64 x))
0.5b
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) 2/3))) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.3b
(+.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) x)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) x))
0.4b
(+.f64 (*.f64 x (fma.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (log.f64 x) 2/3))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) x))
1.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
▶0.4b
(+.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)))
Compiler

Compiled 5024 to 1814 computations (63.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
0.2b
(*.f64 x (log.f64 (cbrt.f64 x)))
✓0.3b
(+.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)))
0.6b
(cbrt.f64 x)

series596.0ms (10.4%)

Counts
1 → 12
Calls

1 calls:

596.0ms
(+.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)))

rewrite78.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-+l+_binary64
12×log-prod_binary64
6×distribute-lft-in_binary64
6×cbrt-prod_binary64
6×distribute-rgt-in_binary64
Counts
1 → 27
Calls

1 calls:

5.0ms
(+.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)))

simplify72.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
755×associate-*l*_binary64
744×fma-neg_binary64
621×associate-*r*_binary64
578×cancel-sign-sub-inv_binary64
346×distribute-rgt-neg-in_binary64
Counts
39 → 53
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074774
1201566
2659423
32933415
44756415
55010415

prune139.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1670167
Fresh055
Picked011
Done022
Total1678175
Error
0b
Counts
175 → 8
Alt Table
StatusErrorProgram
0.4b
(+.f64 (*.f64 x (fma.f64 2/3 (log.f64 x) (log.f64 (cbrt.f64 (sqrt.f64 x))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
0.4b
(+.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x)) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
✓0.2b
(*.f64 x (log.f64 x))
0.5b
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) 2/3))) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.3b
(+.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 (log.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) x)) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) x))
0.4b
(+.f64 (*.f64 x (fma.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (log.f64 x) 2/3))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) x))
1.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
✓0.4b
(+.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)))
Compiler

Compiled 3123 to 1239 computations (60.3% saved)

regimes142.0ms (2.5%)

Accuracy

Total 0.3b remaining (96.2%)

Threshold costs 0.3b (96.2%)

Counts
68 → 1
Compiler

Compiled 2286 to 1436 computations (37.2% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
256

end110.0ms (1.9%)

Compiler

Compiled 145 to 83 computations (42.8% saved)

Profiling

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