Details

Time bar (total: 5.1s)

analyze1.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample41.0ms (0.8%)

Algorithm
intervals
Results
8.0ms71×body1024valid
4.0ms136×body128valid
3.0ms30×body512valid
1.0msbody2048valid
1.0ms13×body256valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify10.0ms (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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
31.1b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
3.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series48.0ms (0.9%)

Counts
3 → 36
Calls

3 calls:

34.0ms
(cbrt.f64 x)
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
5.0ms
(cbrt.f64 (+.f64 x 1))

rewrite19.0ms (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:

9.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
2.0ms
(cbrt.f64 (+.f64 x 1))
1.0ms
(cbrt.f64 x)

simplify117.0ms (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

prune169.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1738181
Fresh000
Picked101
Done000
Total1748182
Error
8.4b
Counts
182 → 8
Alt Table
StatusErrorProgram
31.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))
31.2b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
31.3b
(+.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))))))
46.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
31.4b
(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)))
48.5b
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))))
33.4b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
Compiler

Compiled 4076 to 2355 computations (42.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.3b
(cbrt.f64 (+.f64 x 1))
0.6b
(cbrt.f64 x)
3.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series53.0ms (1%)

Counts
1 → 12
Calls

1 calls:

53.0ms
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
difference-of-squares_binary64
distribute-lft-out--_binary64
Counts
1 → 22
Calls

1 calls:

6.0ms
(cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Rules
707×associate-/r*_binary64
576×fma-def_binary64
346×cancel-sign-sub-inv_binary64
288×associate-/l*_binary64
239×fma-neg_binary64
Counts
34 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721798
14491759
215501410
348511408
449251408

prune896.0ms (17.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New7212723
Fresh167
Picked101
Done000
Total7238731
Error
8.4b
Counts
731 → 8
Alt Table
StatusErrorProgram
31.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))
31.3b
(+.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))))))
46.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
32.7b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 1/3) (cbrt.f64 x))))
48.4b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.f64 (cbrt.f64 x)))))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
31.4b
(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)))
33.4b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
Compiler

Compiled 31246 to 20541 computations (34.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))
3.0b
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))

series76.0ms (1.5%)

Counts
3 → 36
Calls

3 calls:

36.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
30.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))

rewrite26.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod_binary64
41×*-un-lft-identity_binary64
41×add-sqr-sqrt_binary64
29×add-cube-cbrt_binary64
28×prod-diff_binary64
Counts
3 → 109
Calls

3 calls:

9.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))
5.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))
4.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

simplify117.0ms (2.3%)

Algorithm
egg-herbie
Rules
702×associate-/r*_binary64
648×fma-def_binary64
494×fma-neg_binary64
463×times-frac_binary64
333×cancel-sign-sub-inv_binary64
Counts
145 → 180
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02002746
14092044
213241719
343371675
449521675
547841675

prune232.0ms (4.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2313234
Fresh257
Picked101
Done000
Total2348242
Error
8.4b
Counts
242 → 8
Alt Table
StatusErrorProgram
31.4b
(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 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))))
46.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
48.4b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.f64 (cbrt.f64 x)))))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
31.4b
(+.f64 (fma.f64 1 (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))))))))
31.2b
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))) 3)) (+.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))))))
31.4b
(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)))
33.4b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
31.2b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
Compiler

Compiled 6276 to 2653 computations (57.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.6b
(cbrt.f64 (cbrt.f64 x))
10.5b
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

series555.0ms (10.9%)

Counts
3 → 36
Calls

3 calls:

295.0ms
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
250.0ms
(cbrt.f64 (cbrt.f64 x))
10.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64
13×*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
fma-neg_binary64
Counts
3 → 55
Calls

3 calls:

6.0ms
(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
2.0ms
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
1.0ms
(cbrt.f64 (cbrt.f64 x))

simplify107.0ms (2.1%)

Algorithm
egg-herbie
Rules
864×fma-neg_binary64
393×unswap-sqr_binary64
338×fma-def_binary64
268×associate-*l*_binary64
252×associate-*r*_binary64
Counts
91 → 113
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01522180
13711804
29521650
329231179
440591020
549621020
647351020

prune147.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1652167
Fresh347
Picked101
Done000
Total1696175
Error
0.3b
Counts
175 → 6
Alt Table
StatusErrorProgram
31.4b
(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 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))))
46.2b
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x))) (fma.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 11))) -10/243 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 5))) -1/9))))
30.0b
(+.f64 (*.f64 (/.f64 (cbrt.f64 x) x) (-.f64 1/3 (/.f64 1/9 x))) (*.f64 5/81 (/.f64 (cbrt.f64 x) (pow.f64 x 3))))
31.3b
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x)))))
48.4b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.f64 (cbrt.f64 x)))))) (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
33.4b
(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
Compiler

Compiled 3558 to 1770 computations (50.3% saved)

regimes1.5s (29.4%)

Accuracy

Total 0.1b remaining (33.9%)

Threshold costs 0.1b (33.9%)

Counts
451 → 2
Compiler

Compiled 21357 to 14504 computations (32.1% saved)

bsearch17.0ms (0.3%)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03188
14588
25688
36188
46388
56188

end1.0ms (0%)

Compiler

Compiled 56 to 38 computations (32.1% saved)

sample837.0ms (16.4%)

Algorithm
intervals
Results
240.0ms1970×body1024valid
136.0ms4289×body128valid
89.0ms1035×body512valid
33.0ms493×body256valid
31.0ms213×body2048valid
Compiler

Compiled 226 to 166 computations (26.5% saved)

Profiling

Loading profile data...