Details

Time bar (total: 8.9s)

analyze33.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample41.0ms (0.5%)

Algorithm
intervals
Results
12.0ms60×body1024valid
8.0ms147×body128valid
5.0ms32×body512valid
2.0msbody2048valid
1.0ms10×body256valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43011
54711
67211
79211
810911
911911
1012311
1112511
1211111

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
27.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
27.3b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
2.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series94.0ms (1.1%)

Counts
3 → 36
Calls

3 calls:

64.0ms
(cbrt.f64 x)
18.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms
(cbrt.f64 (+.f64 x 1))

rewrite32.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
67×cbrt-prod_binary64
58×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
42×prod-diff_binary64
35×add-cube-cbrt_binary64
Counts
3 → 104
Calls

3 calls:

15.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
4.0ms
(cbrt.f64 (+.f64 x 1))
1.0ms
(cbrt.f64 x)

simplify201.0ms (2.3%)

Algorithm
egg-herbie
Rules
959×fma-neg_binary64
417×associate-/r*_binary64
348×times-frac_binary64
258×cancel-sign-sub-inv_binary64
133×associate--l+_binary64
Counts
140 → 181
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02003526
14552550
213362116
339572052
448882052
548142052

prune421.0ms (4.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1738181
Fresh000
Picked101
Done000
Total1748182
Error
6.6b
Counts
182 → 8
Alt Table
StatusErrorProgram
27.4b
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
31.4b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
27.1b
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3) (pow.f64 (cbrt.f64 x) 3)) (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
27.5b
(+.f64 (fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))))))
27.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
27.4b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
49.2b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
49.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
Compiler

Compiled 3990 to 2313 computations (42% saved)

localize29.0ms (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)
0.7b
(pow.f64 (cbrt.f64 x) 3)
1.7b
(-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3) (pow.f64 (cbrt.f64 x) 3))

series192.0ms (2.2%)

Counts
3 → 36
Calls

3 calls:

99.0ms
(pow.f64 (cbrt.f64 x) 3)
68.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
24.0ms
(-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3) (pow.f64 (cbrt.f64 x) 3))

rewrite187.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
360×prod-diff_binary64
340×cbrt-prod_binary64
322×*-un-lft-identity_binary64
301×cube-prod_binary64
301×unpow-prod-down_binary64
Counts
3 → 534
Calls

3 calls:

46.0ms
(-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3) (pow.f64 (cbrt.f64 x) 3))
12.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms
(pow.f64 (cbrt.f64 x) 3)

simplify443.0ms (5%)

Algorithm
egg-herbie
Rules
746×fma-neg_binary64
686×exp-prod_binary64
437×*-commutative_binary64
433×log-prod_binary64
320×sqr-pow_binary64
Counts
570 → 319
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03084199
13623383
214572248
328722248
440932246
546432246
646082246

prune979.0ms (11%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3901391
Fresh437
Picked011
Done000
Total3945399
Error
0.4b
Counts
399 → 5
Alt Table
StatusErrorProgram
27.1b
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3) (pow.f64 (cbrt.f64 x) 3)) (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
27.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
49.2b
(*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))
49.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
Compiler

Compiled 20928 to 13050 computations (37.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
0.3b
(cbrt.f64 (+.f64 x 1))
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)

series9.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

9.0ms
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

rewrite20.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod_binary64
23×*-un-lft-identity_binary64
17×add-sqr-sqrt_binary64
12×cbrt-div_binary64
swap-sqr_binary64
Counts
1 → 55
Calls

1 calls:

14.0ms
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

simplify159.0ms (1.8%)

Algorithm
egg-herbie
Rules
885×fma-def_binary64
821×fma-neg_binary64
352×distribute-rgt-in_binary64
310×distribute-lft-in_binary64
290×cancel-sign-sub-inv_binary64
Counts
67 → 85
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01001143
12131105
25001003
31339979
42928824
54491824
64782824
74955824
85069824

prune1.2s (13.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New32610336
Fresh123
Picked101
Done101
Total32912341
Error
0.2b
Counts
341 → 12
Alt Table
StatusErrorProgram
1.7b
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
49.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
0.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
14.1b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.6b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 5) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
14.3b
(/.f64 1 (+.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
31.1b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))))))
27.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
14.3b
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.5b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Compiler

Compiled 11454 to 7363 computations (35.7% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.3b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)

series8.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

8.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))

rewrite37.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
80×cbrt-div_binary64
28×frac-times_binary64
27×flip-+_binary64
27×flip3-+_binary64
14×associate-*l/_binary64
Counts
1 → 38
Calls

1 calls:

25.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))

simplify169.0ms (1.9%)

Algorithm
egg-herbie
Rules
890×fma-def_binary64
652×times-frac_binary64
494×fma-neg_binary64
304×associate-/l*_binary64
246×associate-/r*_binary64
Counts
50 → 77
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701619
12771613
25671502
315241465
443021465
548071465
649831465
748831465

prune1.7s (18.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New4211422
Fresh01111
Picked011
Done000
Total42113434
Error
0.2b
Counts
434 → 13
Alt Table
StatusErrorProgram
14.4b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (pow.f64 (+.f64 x 1) 1/3)))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
31.1b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (log.f64 (cbrt.f64 x)))))))
1.7b
(/.f64 1 (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
49.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))
0.5b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
14.1b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.6b
(/.f64 1 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 5) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
30.6b
(/.f64 1 (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
14.3b
(/.f64 1 (+.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
27.3b
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
14.3b
(/.f64 1 (+.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.5b
(/.f64 1 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
Compiler

Compiled 19156 to 13129 computations (31.5% saved)

regimes1.0s (11.8%)

Accuracy

Total 0.3b remaining (56.8%)

Threshold costs 0.3b (56.8%)

Counts
249 → 1
Compiler

Compiled 13817 to 9434 computations (31.7% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
12135
22035

end1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.8s (20.8%)

Algorithm
intervals
Results
464.0ms2024×body1024valid
268.0ms4227×body128valid
151.0ms1036×body512valid
77.0ms224×body2048valid
47.0ms489×body256valid
Compiler

Compiled 429 to 314 computations (26.8% saved)

Profiling

Loading profile data...