Details

Time bar (total: 2.4s)

analyze255.0ms (10.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
43.7%56.2%0.1%9
54.6%39%6.4%10
58.5%35.1%6.4%11
67.3%26.3%6.4%12
71.7%18.8%9.5%13
74.1%16.4%9.5%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify120.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
020910
120910

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 (*.f64 y 4) z))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_5232
add-cbrt-cube_binary64_5229 flip3--_binary64_5197 add-cube-cbrt_binary64_5228 sub-neg_binary64_5186 flip--_binary64_5168 *-un-lft-identity_binary64_5193 cancel-sign-sub-inv_binary64_5159 add-exp-log_binary64_5231 diff-log_binary64_5285 add-sqr-sqrt_binary64_5215 pow1_binary64_5254
Counts
1 → 12
Calls

1 calls:

6.0ms
(-.f64 x (*.f64 (*.f64 y 4) z))

series39.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(-.f64 x (*.f64 (*.f64 y 4) z))

simplify84.0ms (3.4%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04897216
14897216

prune23.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2
Compiler

Compiled 187 to 124 computations (33.7% saved)

localize17.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 (*.f64 y 4) z))
0.1b
(pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 3)
40.4b
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 3))

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_5224
add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193 add-sqr-sqrt_binary64_5215
cube-prod_binary64_5221 unpow-prod-down_binary64_5272
add-log-exp_binary64_5232
add-cbrt-cube_binary64_5229 cube-div_binary64_5222 add-exp-log_binary64_5231 pow1_binary64_5254
flip3--_binary64_5197 flip--_binary64_5168 pow-unpow_binary64_5270
unpow3_binary64_5259 cbrt-div_binary64_5225 cube-mult_binary64_5223 sqr-pow_binary64_5165
sub-neg_binary64_5186 pow-pow_binary64_5265 cancel-sign-sub-inv_binary64_5159 diff-log_binary64_5285 pow-to-exp_binary64_5262 rem-cbrt-cube_binary64_5217 rem-cube-cbrt_binary64_5216 pow1/3_binary64_5275 pow-exp_binary64_5261
Counts
3 → 60
Calls

3 calls:

9.0ms
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 3))
6.0ms
(pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 3)
3.0ms
(-.f64 x (*.f64 (*.f64 y 4) z))

series241.0ms (9.9%)

Counts
3 → 9
Calls

3 calls:

133.0ms
(pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 3)
67.0ms
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 3))
40.0ms
(-.f64 x (*.f64 (*.f64 y 4) z))

simplify85.0ms (3.5%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049581194
149581194

prune82.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh000
Picked011
Done011
Total68371

Merged error: 0.0b

Counts
71 → 3
Compiler

Compiled 1087 to 735 computations (32.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2)
0.3b
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2)) (cbrt.f64 (-.f64 x (*.f64 (*.f64 y 4) z))))
0.5b
(cbrt.f64 (-.f64 x (*.f64 (*.f64 y 4) z)))
31.8b
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2))

rewrite42.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod_binary64_5224
30×add-sqr-sqrt_binary64_5215
14×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
11×associate-*l*_binary64_5134 unpow-prod-down_binary64_5272
10×unswap-sqr_binary64_5161
unpow2_binary64_5258 add-exp-log_binary64_5231 pow1_binary64_5254
associate-*r*_binary64_5133
sqr-pow_binary64_5165
add-cbrt-cube_binary64_5229 add-log-exp_binary64_5232 cbrt-div_binary64_5225 pow1/3_binary64_5275
pow-unpow_binary64_5270
flip3--_binary64_5197 pow-prod-down_binary64_5264 flip--_binary64_5168 associate-*r/_binary64_5135
rem-3cbrt-lft_binary64_5218 pow3_binary64_5276 pow-pow_binary64_5265 *-commutative_binary64_5124 pow-to-exp_binary64_5262 prod-exp_binary64_5242 cbrt-unprod_binary64_5226 pow-exp_binary64_5261
Counts
4 → 90
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2)) (cbrt.f64 (-.f64 x (*.f64 (*.f64 y 4) z))))
6.0ms
(pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2)
5.0ms
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2))
2.0ms
(cbrt.f64 (-.f64 x (*.f64 (*.f64 y 4) z)))

series454.0ms (18.6%)

Counts
4 → 12
Calls

4 calls:

177.0ms
(cbrt.f64 (-.f64 x (*.f64 (*.f64 y 4) z)))
160.0ms
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2))
69.0ms
(pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2)
48.0ms
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 y 4) z)) 2)) (cbrt.f64 (-.f64 x (*.f64 (*.f64 y 4) z))))

simplify85.0ms (3.5%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049112163
149112163

prune143.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done022
Total1023105

Merged error: 0.0b

Counts
105 → 3
Compiler

Compiled 2455 to 1706 computations (30.5% saved)

regimes91.0ms (3.7%)

Compiler

Compiled 366 to 360 computations (1.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05210
15210

end0.0ms (0%)

sample606.0ms (24.9%)

Algorithm
intervals
Results
247.0ms8000×body128valid
8.0ms261×body128invalid
Compiler

Compiled 70 to 69 computations (1.4% saved)

Profiling

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