Details

Time bar (total: 5.0s)

analyze24.0ms (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
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.3%)

Algorithm
intervals
Results
6.0ms241×body128valid
0.0msbody2048valid
0.0msbody1024valid
0.0msbody256valid
0.0msbody512valid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify124.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
0987
1987

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_4209
pow1_binary64_4231 add-sqr-sqrt_binary64_4192 flip3--_binary64_4174 add-exp-log_binary64_4208 *-un-lft-identity_binary64_4170 diff-log_binary64_4262 add-cbrt-cube_binary64_4206 cancel-sign-sub-inv_binary64_4136 flip--_binary64_4145 add-cube-cbrt_binary64_4205 sub-neg_binary64_4163
Counts
1 → 12
Calls

1 calls:

3.0ms
(-.f64 x (*.f64 3/8 y))

series25.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(-.f64 x (*.f64 3/8 y))

simplify137.0ms (2.8%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
05770165

prune17.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316
Error
0.0b
Counts
16 → 3
Compiler

Compiled 174 to 122 computations (29.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite34.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_4201
23×add-sqr-sqrt_binary64_4192
18×cbrt-div_binary64_4202
15×*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
11×pow1_binary64_4231
pow1/3_binary64_4252 flip3--_binary64_4174 flip--_binary64_4145
swap-sqr_binary64_4137 associate-*l*_binary64_4111 add-exp-log_binary64_4208 associate-*r*_binary64_4110
frac-times_binary64_4180 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 unswap-sqr_binary64_4138
associate-*r/_binary64_4112 associate-*l/_binary64_4113 pow-prod-up_binary64_4240 pow-prod-down_binary64_4241 pow-sqr_binary64_4143
pow-plus_binary64_4233 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow2_binary64_4251 *-commutative_binary64_4101
Counts
4 → 87
Calls

4 calls:

10.0ms
(*.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
2.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series804.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

222.0ms
(*.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
204.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
189.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
188.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify234.0ms (4.7%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
048721786
148721786

prune209.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New96399
Fresh011
Picked011
Done011
Total966102
Error
0.0b
Counts
102 → 6
Compiler

Compiled 2663 to 1933 computations (27.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.8b
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))) 4)

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_4201
11×add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
unpow-prod-down_binary64_4249
cbrt-div_binary64_4202
pow1_binary64_4231 add-exp-log_binary64_4208
pow1/3_binary64_4252 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209
pow-unpow_binary64_4247 flip3--_binary64_4174 flip--_binary64_4145
pow-pow_binary64_4242
pow-to-exp_binary64_4239 sqr-pow_binary64_4142 pow-exp_binary64_4238
Counts
4 → 63
Calls

4 calls:

5.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))) 4)
2.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
2.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
2.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series975.0ms (19.7%)

Counts
4 → 12
Calls

4 calls:

468.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))) 4)
172.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
169.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
166.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify164.0ms (3.3%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
048421271
148421271

prune204.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh033
Picked011
Done022
Total75681
Error
0.0b
Counts
81 → 6
Compiler

Compiled 2859 to 2156 computations (24.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 3/8 y))
0.1b
(*.f64 y (*.f64 y 9/64))
3.6b
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64)))
28.7b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64))) (+.f64 x (*.f64 3/8 y)))

rewrite45.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
11×add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206
pow1_binary64_4231 times-frac_binary64_4176
add-log-exp_binary64_4209
associate-*l*_binary64_4111 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 associate-/l*_binary64_4115 pow-prod-down_binary64_4241 associate-/r*_binary64_4114
flip3--_binary64_4174 flip-+_binary64_4144 associate-/r/_binary64_4116 flip3-+_binary64_4173 associate-/l/_binary64_4117 flip--_binary64_4145
diff-log_binary64_4262 frac-2neg_binary64_4181 associate-*r*_binary64_4110 div-sub_binary64_4175 div-inv_binary64_4167 +-commutative_binary64_4100 *-commutative_binary64_4101 cancel-sign-sub-inv_binary64_4136 cbrt-undiv_binary64_4204 sum-log_binary64_4261 clear-num_binary64_4169 sub-neg_binary64_4163 div-exp_binary64_4221
Counts
4 → 73
Calls

4 calls:

15.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64))) (+.f64 x (*.f64 3/8 y)))
8.0ms
(*.f64 y (*.f64 y 9/64))
8.0ms
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64)))
5.0ms
(+.f64 x (*.f64 3/8 y))

series190.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

85.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64))) (+.f64 x (*.f64 3/8 y)))
54.0ms
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 9/64)))
33.0ms
(*.f64 y (*.f64 y 9/64))
17.0ms
(+.f64 x (*.f64 3/8 y))

simplify77.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049901460
149901460

prune129.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done033
Total85691
Error
0.0b
Counts
91 → 6
Compiler

Compiled 1710 to 1029 computations (39.8% saved)

regimes218.0ms (4.4%)

Accuracy

Total 0.1b remaining (74.1%)

Threshold costs 0.1b (74.1%)

Compiler

Compiled 1656 to 1354 computations (18.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0337
1337

end0.0ms (0%)

sample1.3s (25.3%)

Algorithm
intervals
Results
264.0ms7399×body128valid
33.0ms160×body2048valid
28.0ms233×body1024valid
12.0ms129×body512valid
5.0ms79×body256valid
Compiler

Compiled 420 to 345 computations (17.9% saved)

Profiling

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