Details

Time bar (total: 6.4s)

analyze45.0ms (0.7%)

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)

sample24.0ms (0.4%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify226.0ms (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: 14.9b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_2155
add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 times-frac_binary64_2130 *-un-lft-identity_binary64_2124
cbrt-div_binary64_2156 pow1_binary64_2185 add-log-exp_binary64_2163 pow1/3_binary64_2206 add-exp-log_binary64_2162 div-inv_binary64_2121 add-cbrt-cube_binary64_2160
Counts
1 → 16
Calls

1 calls:

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

series232.0ms (3.6%)

Counts
1 → 3
Calls

1 calls:

232.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify77.0ms (1.2%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05015244

prune25.0ms (0.4%)

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:

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

rewrite15.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64_2155
24×times-frac_binary64_2130
21×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
associate-/l*_binary64_2069
add-exp-log_binary64_2162
associate-/r*_binary64_2068
pow1_binary64_2185 add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160
pow1/3_binary64_2206
clear-num_binary64_2123 cbrt-undiv_binary64_2158 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
3 → 66
Calls

3 calls:

5.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
3.0ms
(cbrt.f64 (*.f64 2 a))
2.0ms
(cbrt.f64 g)

series636.0ms (9.9%)

Counts
3 → 9
Calls

3 calls:

242.0ms
(cbrt.f64 (*.f64 2 a))
198.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
196.0ms
(cbrt.f64 g)

simplify70.0ms (1.1%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
048961128
148961128

prune140.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New611475
Fresh336
Picked101
Done011
Total651883

Merged error: 0.1b

Counts
83 → 18
Compiler

Compiled 1186 to 778 computations (34.4% saved)

localize8.0ms (0.1%)

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

rewrite39.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
204×times-frac_binary64_2130
111×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
98×cbrt-prod_binary64_2155
34×associate-/r*_binary64_2068
17×add-exp-log_binary64_2162
div-exp_binary64_2175
associate-/l*_binary64_2069 add-cbrt-cube_binary64_2160
div-inv_binary64_2121
pow1_binary64_2185
cbrt-undiv_binary64_2158 add-log-exp_binary64_2163
clear-num_binary64_2123 pow1/3_binary64_2206 1-exp_binary64_2168 frac-2neg_binary64_2135 rec-exp_binary64_2174
associate-/r/_binary64_2070 pow-flip_binary64_2198 inv-pow_binary64_2209
Counts
4 → 202
Calls

4 calls:

10.0ms
(/.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)

series833.0ms (13%)

Counts
4 → 12
Calls

4 calls:

248.0ms
(cbrt.f64 (*.f64 2 a))
198.0ms
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
193.0ms
(cbrt.f64 g)
193.0ms
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

simplify118.0ms (1.8%)

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
048954401
148954401

prune355.0ms (5.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2104214
Fresh41216
Picked011
Done011
Total21418232

Merged error: 0.0b

Counts
232 → 18
Compiler

Compiled 3757 to 2492 computations (33.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.3b
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
0.6b
(cbrt.f64 (*.f64 2 a))
0.6b
(cbrt.f64 g)

rewrite46.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_2146
28×times-frac_binary64_2130
26×*-un-lft-identity_binary64_2124
24×add-cube-cbrt_binary64_2159
17×cbrt-prod_binary64_2155 add-exp-log_binary64_2162
16×associate-*r*_binary64_2064
pow1_binary64_2185 add-cbrt-cube_binary64_2160
unswap-sqr_binary64_2092 associate-*l*_binary64_2065
associate-/r*_binary64_2068 add-log-exp_binary64_2163 prod-exp_binary64_2173 div-exp_binary64_2175
associate-/l*_binary64_2069 pow1/3_binary64_2206
cbrt-undiv_binary64_2158 pow-flip_binary64_2198 1-exp_binary64_2168 div-inv_binary64_2121 cbrt-unprod_binary64_2157 rec-exp_binary64_2174
pow-prod-down_binary64_2195 clear-num_binary64_2123 un-div-inv_binary64_2122 *-commutative_binary64_2055 associate-*r/_binary64_2066 inv-pow_binary64_2209 frac-2neg_binary64_2135
Counts
4 → 101
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
8.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms
(cbrt.f64 (*.f64 2 a))
1.0ms
(cbrt.f64 g)

series1.0s (15.9%)

Counts
4 → 12
Calls

4 calls:

330.0ms
(/.f64 1 (cbrt.f64 (*.f64 2 a)))
252.0ms
(cbrt.f64 (*.f64 2 a))
223.0ms
(*.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))
213.0ms
(cbrt.f64 g)

simplify97.0ms (1.5%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048931389
148931389

prune125.0ms (1.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1121113
Fresh11415
Picked011
Done022
Total11318131

Merged error: 0.0b

Counts
131 → 18
Compiler

Compiled 1486 to 1045 computations (29.7% saved)

regimes620.0ms (9.7%)

Compiler

Compiled 4133 to 3507 computations (15.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
1911

end0.0ms (0%)

sample1.6s (25.5%)

Algorithm
intervals
Results
296.0ms8000×body128valid
Compiler

Compiled 799 to 679 computations (15% saved)

Profiling

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