Details

Time bar (total: 5.6s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample30.0ms (0.5%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
256

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 x (log.f64 x))
Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (log.f64 x))

series37.0ms (0.7%)

Counts
1 → 12
Calls

1 calls:

37.0ms
(*.f64 x (log.f64 x))

rewrite4.0ms (0.1%)

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:

3.0ms
(*.f64 x (log.f64 x))

simplify67.0ms (1.2%)

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

prune21.0ms (0.4%)

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
1.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
✓0.3b
(*.f64 x (log.f64 x))
30.2b
(*.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)))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
▶0.4b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
38.7b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
Compiler

Compiled 473 to 180 computations (61.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (log.f64 (cbrt.f64 x)) x)
✓0.3b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
✓0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓0.6b
(cbrt.f64 x)

series2.1s (37.4%)

Counts
4 → 48
Calls

4 calls:

1.4s
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
625.0ms
(*.f64 (log.f64 (cbrt.f64 x)) x)
36.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
29.0ms
(cbrt.f64 x)

rewrite19.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
14×pow1_binary64
Counts
4 → 92
Calls

4 calls:

5.0ms
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
4.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms
(cbrt.f64 x)
3.0ms
(*.f64 (log.f64 (cbrt.f64 x)) x)

simplify79.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
853×fma-neg_binary64
421×fma-def_binary64
397×distribute-rgt-in_binary64
345×distribute-lft-in_binary64
266×log-prod_binary64
Counts
140 → 146
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291674
12941361
211351227
340631227
449041227

prune119.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1775182
Fresh325
Picked101
Done011
Total1818189
Error
0.0b
Counts
189 → 8
Alt Table
StatusErrorProgram
0.6b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) x)))
✓0.3b
(*.f64 x (log.f64 x))
1.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
0.4b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)))
▶0.3b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (cbrt.f64 x)) x))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
0.4b
(+.f64 (*.f64 (log.f64 (pow.f64 x 2/3)) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
0.3b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (pow.f64 x 1/3)) x))
Compiler

Compiled 3606 to 1054 computations (70.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (cbrt.f64 x)) x))
0.3b
(*.f64 (log.f64 (cbrt.f64 x)) x)
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)

series1.5s (27.2%)

Counts
1 → 12
Calls

1 calls:

1.5s
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (cbrt.f64 x)) x))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (cbrt.f64 x)) x))

simplify68.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
455×fma-neg_binary64
383×fma-def_binary64
367×distribute-rgt-in_binary64
358×unswap-sqr_binary64
348×distribute-lft-in_binary64
Counts
22 → 23
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050497
1101326
2237264
3799236
43098236
54799236
65101236

prune130.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1723175
Fresh336
Picked101
Done011
Total1767183
Error
0b
Counts
183 → 7
Alt Table
StatusErrorProgram
0.3b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)))
✓0.3b
(*.f64 x (log.f64 x))
1.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
0.6b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (*.f64 x (cbrt.f64 (log.f64 (cbrt.f64 x))))))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
0.4b
(+.f64 (*.f64 (log.f64 (pow.f64 x 2/3)) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
▶0.2b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (pow.f64 x 1/3)) x))
Compiler

Compiled 3223 to 914 computations (71.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (log.f64 (pow.f64 x 1/3)) x)
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
✓4.9b
(pow.f64 x 1/3)

series404.0ms (7.2%)

Counts
2 → 12
Calls

2 calls:

381.0ms
(*.f64 (log.f64 (pow.f64 x 1/3)) x)
23.0ms
(pow.f64 x 1/3)

rewrite5.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
5×add-exp-log_binary64
5×pow1_binary64
Counts
2 → 41
Calls

2 calls:

3.0ms
(*.f64 (log.f64 (pow.f64 x 1/3)) x)
1.0ms
(pow.f64 x 1/3)

simplify87.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
841×fma-def_binary64
625×associate-*l*_binary64
558×unswap-sqr_binary64
503×associate-*r*_binary64
492×log-prod_binary64
Counts
53 → 68
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074539
1151489
2467420
32341390
43846390
54847390
65182390

prune133.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1630163
Fresh055
Picked011
Done011
Total1637170
Error
0b
Counts
170 → 7
Alt Table
StatusErrorProgram
0.3b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (*.f64 (log.f64 (cbrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)))
✓0.3b
(*.f64 x (log.f64 x))
1.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
0.6b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (*.f64 x (cbrt.f64 (log.f64 (cbrt.f64 x))))))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
0.4b
(+.f64 (*.f64 (log.f64 (pow.f64 x 2/3)) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
✓0.2b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (pow.f64 x 1/3)) x))
Compiler

Compiled 3105 to 1403 computations (54.8% saved)

regimes119.0ms (2.1%)

Accuracy

Total 0.2b remaining (94%)

Threshold costs 0.2b (94%)

Counts
59 → 1
Compiler

Compiled 1993 to 1076 computations (46% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11220
21220

end1.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample608.0ms (10.9%)

Algorithm
1×intervals
Results
278.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 124 to 66 computations (46.8% saved)

Profiling

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