Details

Time bar (total: 4.7s)

analyze23.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample12.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify166.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0129
1129

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.3b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

14.0b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_1790
times-frac_binary64_1768 add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
pow1/3_binary64_1841 div-inv_binary64_1759 add-log-exp_binary64_1798 cbrt-div_binary64_1791 add-cbrt-cube_binary64_1795 add-exp-log_binary64_1797 pow1_binary64_1820
Counts
1 → 16
Calls

1 calls:

4.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series146.0ms (3.1%)

Counts
1 → 3
Calls

1 calls:

146.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify79.0ms (1.7%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
06060244

prune24.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New12719
Fresh000
Picked011
Done000
Total12820

Merged error: 0.2b

Counts
20 → 8
Compiler

Compiled 285 to 214 computations (24.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64_1790
24×times-frac_binary64_1768
21×add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
associate-/l*_binary64_1709
add-exp-log_binary64_1797
associate-/r*_binary64_1708
add-log-exp_binary64_1798 add-cbrt-cube_binary64_1795 pow1_binary64_1820
pow1/3_binary64_1841
frac-2neg_binary64_1773 clear-num_binary64_1761 div-inv_binary64_1759 cbrt-undiv_binary64_1793 div-exp_binary64_1810
Counts
3 → 66
Calls

3 calls:

5.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
3.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series519.0ms (11%)

Counts
3 → 9
Calls

3 calls:

192.0ms
(cbrt.f64 (*.f64 2 a))
164.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
163.0ms
(cbrt.f64 g)

simplify57.0ms (1.2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049021128
149021128

prune84.0ms (1.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New631275
Fresh246
Picked101
Done011
Total661783

Merged error: 0.0b

Counts
83 → 17
Compiler

Compiled 1198 to 787 computations (34.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.4b
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite41.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
204×times-frac_binary64_1768
111×add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
98×cbrt-prod_binary64_1790
34×associate-/r*_binary64_1708
17×add-exp-log_binary64_1797
div-exp_binary64_1810
associate-/l*_binary64_1709 add-cbrt-cube_binary64_1795
div-inv_binary64_1759
pow1_binary64_1820
cbrt-undiv_binary64_1793 add-log-exp_binary64_1798
frac-2neg_binary64_1773 pow1/3_binary64_1841 clear-num_binary64_1761 1-exp_binary64_1803 rec-exp_binary64_1809
associate-/r/_binary64_1710 inv-pow_binary64_1844 pow-flip_binary64_1833
Counts
4 → 202
Calls

4 calls:

12.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
5.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
3.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series631.0ms (13.4%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(cbrt.f64 (*.f64 2 a))
160.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
144.0ms
(cbrt.f64 g)
144.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify127.0ms (2.7%)

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049844401
149844401

prune225.0ms (4.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2113214
Fresh21315
Picked101
Done011
Total21417231

Merged error: 0.0b

Counts
231 → 17
Compiler

Compiled 3764 to 2500 computations (33.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.3b
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite102.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
946×times-frac_binary64_1768
419×add-sqr-sqrt_binary64_1783 *-un-lft-identity_binary64_1762 add-cube-cbrt_binary64_1794
230×cbrt-prod_binary64_1790
48×add-exp-log_binary64_1797
42×div-inv_binary64_1759
34×div-exp_binary64_1810
26×associate-/r*_binary64_1708
19×associate-/l*_binary64_1709
13×add-cbrt-cube_binary64_1795
cbrt-undiv_binary64_1793 1-exp_binary64_1803 rec-exp_binary64_1809
pow1_binary64_1820
add-log-exp_binary64_1798
pow1/3_binary64_1841
frac-2neg_binary64_1773 clear-num_binary64_1761 pow-flip_binary64_1833
associate-/r/_binary64_1710 inv-pow_binary64_1844 associate-/l/_binary64_1711
Counts
4 → 478
Calls

4 calls:

19.0ms
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
4.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series664.0ms (14.1%)

Counts
4 → 12
Calls

4 calls:

206.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
165.0ms
(cbrt.f64 (*.f64 2 a))
159.0ms
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g)))
133.0ms
(cbrt.f64 g)

simplify323.0ms (6.9%)

Algorithm
egg-herbie
Counts
490 → 490
Iterations

Useful iterations: 0 (206.0ms)

IterNodesCost
0474811183
1474811183

prune582.0ms (12.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New4846490
Fresh51015
Picked011
Done011
Total48918507

Merged error: 0.0b

Counts
507 → 18
Compiler

Compiled 8166 to 5360 computations (34.4% saved)

regimes167.0ms (3.5%)

Compiler

Compiled 1457 to 1258 computations (13.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01317
11317

end0.0ms (0%)

sample689.0ms (14.6%)

Algorithm
intervals
Results
213.0ms8000×body128valid
Compiler

Compiled 303 to 264 computations (12.9% saved)

Profiling

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