Details

Time bar (total: 5.5s)

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 (0.6%)

Algorithm
1×intervals
Results
9.0ms256×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
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.2b
(*.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
✓0.2b
(*.f64 x (log.f64 x))

series35.0ms (0.6%)

Counts
1 → 12
Calls

1 calls:

35.0ms
(*.f64 x (log.f64 x))

rewrite7.0ms (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:

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

simplify71.0ms (1.3%)

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

prune22.0ms (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
42.5b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.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))))
✓0.2b
(*.f64 x (log.f64 x))
28.9b
(*.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)))
1.3b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.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))
Compiler

Compiled 479 to 182 computations (62% 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))
✓0.5b
(cbrt.f64 x)

series2.0s (37.2%)

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))
613.0ms
(*.f64 (log.f64 (cbrt.f64 x)) x)
37.0ms
(cbrt.f64 x)
36.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite21.0ms (0.4%)

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:

8.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
5.0ms
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
3.0ms
(*.f64 (log.f64 (cbrt.f64 x)) x)
1.0ms
(cbrt.f64 x)

simplify83.0ms (1.5%)

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

prune113.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1793182
Fresh055
Picked101
Done011
Total1809189
Error
0.0b
Counts
189 → 9
Alt Table
StatusErrorProgram
28.9b
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
0.3b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (pow.f64 x 1/3)) x))
42.5b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.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))))
28.8b
(+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) x)))
✓0.2b
(*.f64 x (log.f64 x))
1.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
▶0.3b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (cbrt.f64 x)) x))
1.3b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
Compiler

Compiled 3618 to 1054 computations (70.9% saved)

localize9.0ms (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))
0.5b
(cbrt.f64 x)

series1.4s (25.1%)

Counts
1 → 12
Calls

1 calls:

1.4s
(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))

simplify62.0ms (1.1%)

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

prune119.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1723175
Fresh347
Picked101
Done011
Total1768184
Error
0b
Counts
184 → 8
Alt Table
StatusErrorProgram
42.5b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
▶0.2b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (pow.f64 x 1/3)) x))
28.8b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x))))))
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)))
✓0.2b
(*.f64 x (log.f64 x))
28.9b
(*.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)))
1.3b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
Compiler

Compiled 3237 to 922 computations (71.5% 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))
0.5b
(cbrt.f64 x)
✓5.1b
(pow.f64 x 1/3)

series554.0ms (10.1%)

Counts
2 → 12
Calls

2 calls:

509.0ms
(*.f64 (log.f64 (pow.f64 x 1/3)) x)
45.0ms
(pow.f64 x 1/3)

rewrite6.0ms (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)
2.0ms
(pow.f64 x 1/3)

simplify91.0ms (1.7%)

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

prune124.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1630163
Fresh066
Picked011
Done011
Total1638171
Error
0b
Counts
171 → 8
Alt Table
StatusErrorProgram
42.5b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
✓0.2b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (pow.f64 x 1/3)) x))
28.8b
(fma.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x))))))
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)))
✓0.2b
(*.f64 x (log.f64 x))
28.9b
(*.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)))
1.3b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
Compiler

Compiled 3112 to 1407 computations (54.8% saved)

regimes135.0ms (2.4%)

Accuracy

Total 0.2b remaining (90.7%)

Threshold costs 0.2b (90.7%)

Counts
66 → 1
Compiler

Compiled 2070 to 1187 computations (42.7% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
11122
21122

end1.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

sample557.0ms (10.1%)

Algorithm
1×intervals
Results
297.0ms8000×body128valid
0.0ms4×body128nan
Compiler

Compiled 132 to 69 computations (47.7% saved)

Profiling

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