Details

Time bar (total: 7.6s)

analyze48.0ms (0.6%)

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)

sample26.0ms (0.3%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify290.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0129
1129

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.9b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite9.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_2127
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 times-frac_binary64_2105 *-un-lft-identity_binary64_2099
cbrt-div_binary64_2128 pow1/3_binary64_2178 add-cbrt-cube_binary64_2132 pow1_binary64_2157 add-log-exp_binary64_2135 div-inv_binary64_2096 add-exp-log_binary64_2134
Counts
1 → 16
Calls

1 calls:

7.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

series242.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

242.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify139.0ms (1.8%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
06060244

prune46.0ms (0.6%)

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)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite26.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64_2127
24×times-frac_binary64_2105
21×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 *-un-lft-identity_binary64_2099
associate-/l*_binary64_2046
add-exp-log_binary64_2134
associate-/r*_binary64_2045
add-cbrt-cube_binary64_2132 pow1_binary64_2157 add-log-exp_binary64_2135
pow1/3_binary64_2178
cbrt-undiv_binary64_2130 div-exp_binary64_2147 frac-2neg_binary64_2110 clear-num_binary64_2098 div-inv_binary64_2096
Counts
3 → 66
Calls

3 calls:

10.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
5.0ms
(cbrt.f64 (*.f64 2 a))
2.0ms
(cbrt.f64 g)

series1.0s (13.3%)

Counts
3 → 9
Calls

3 calls:

361.0ms
(cbrt.f64 (*.f64 2 a))
338.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
305.0ms
(cbrt.f64 g)

simplify103.0ms (1.4%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049021128
149021128

prune150.0ms (2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New631275
Fresh336
Picked011
Done011
Total661783

Merged error: 0.0b

Counts
83 → 17
Compiler

Compiled 1136 to 734 computations (35.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.4b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
0.6b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))

rewrite56.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_2120
28×times-frac_binary64_2105
26×*-un-lft-identity_binary64_2099
24×add-cube-cbrt_binary64_2131
17×cbrt-prod_binary64_2127 add-exp-log_binary64_2134
16×associate-*r*_binary64_2041
add-cbrt-cube_binary64_2132 pow1_binary64_2157
associate-*l*_binary64_2042 unswap-sqr_binary64_2067
div-exp_binary64_2147 prod-exp_binary64_2145 add-log-exp_binary64_2135 associate-/r*_binary64_2045
pow1/3_binary64_2178 associate-/l*_binary64_2046
pow-flip_binary64_2170 cbrt-undiv_binary64_2130 1-exp_binary64_2140 rec-exp_binary64_2146 div-inv_binary64_2096 cbrt-unprod_binary64_2129
associate-*r/_binary64_2043 un-div-inv_binary64_2097 inv-pow_binary64_2181 *-commutative_binary64_2032 frac-2neg_binary64_2110 pow-prod-down_binary64_2167 clear-num_binary64_2098
Counts
4 → 101
Calls

4 calls:

22.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
9.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
8.0ms
(cbrt.f64 (*.f64 2 a))
2.0ms
(cbrt.f64 g)

series1.3s (17.6%)

Counts
4 → 12
Calls

4 calls:

392.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
357.0ms
(cbrt.f64 (*.f64 2 a))
307.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
277.0ms
(cbrt.f64 g)

simplify275.0ms (3.6%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (241.0ms)

IterNodesCost
048341299
148341299

prune197.0ms (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1103113
Fresh21214
Picked011
Done112
Total11317130

Merged error: 0.0b

Counts
130 → 17
Compiler

Compiled 1652 to 1175 computations (28.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite82.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
204×times-frac_binary64_2105
111×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 *-un-lft-identity_binary64_2099
98×cbrt-prod_binary64_2127
34×associate-/r*_binary64_2045
17×add-exp-log_binary64_2134
div-exp_binary64_2147
add-cbrt-cube_binary64_2132 associate-/l*_binary64_2046
div-inv_binary64_2096
pow1_binary64_2157
cbrt-undiv_binary64_2130 add-log-exp_binary64_2135
1-exp_binary64_2140 pow1/3_binary64_2178 rec-exp_binary64_2146 frac-2neg_binary64_2110 clear-num_binary64_2098
pow-flip_binary64_2170 inv-pow_binary64_2181 associate-/r/_binary64_2047
Counts
4 → 202
Calls

4 calls:

19.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
9.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
4.0ms
(cbrt.f64 (*.f64 2 a))
2.0ms
(cbrt.f64 g)

series1.2s (16.3%)

Counts
4 → 12
Calls

4 calls:

351.0ms
(cbrt.f64 (*.f64 2 a))
310.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
287.0ms
(cbrt.f64 g)
287.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify236.0ms (3.1%)

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (150.0ms)

IterNodesCost
049844401
149844401

prune378.0ms (5%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New2122214
Fresh11314
Picked011
Done022
Total21318231

Merged error: 0.0b

Counts
231 → 18
Compiler

Compiled 3496 to 2279 computations (34.8% saved)

regimes317.0ms (4.2%)

Compiler

Compiled 1427 to 1193 computations (16.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01314
11314

end0.0ms (0%)

sample1.3s (17.5%)

Algorithm
intervals
Results
415.0ms8000×body128valid
Compiler

Compiled 295 to 249 computations (15.6% saved)

Profiling

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