Details

Time bar (total: 2.1s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.4%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify169.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x 3) x)

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_5275 pow1_binary64_5300 add-exp-log_binary64_5277
associate-*r*_binary64_5179 prod-exp_binary64_5288 cbrt-unprod_binary64_5272 pow-prod-down_binary64_5310
add-cube-cbrt_binary64_5274 add-sqr-sqrt_binary64_5261 *-un-lft-identity_binary64_5239
*-commutative_binary64_5170 add-log-exp_binary64_5278 associate-*l*_binary64_5180
Counts
1 → 18
Calls

1 calls:

6.0ms
(*.f64 (*.f64 x 3) x)

series37.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(*.f64 (*.f64 x 3) x)

simplify67.0ms (3.1%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04891168
14891168

prune38.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.0b

Counts
22 → 6
Compiler

Compiled 422 to 315 computations (25.4% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 x 3))
0.3b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
19.6b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
19.6b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite45.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64_5300
80×pow-prod-down_binary64_5310
66×sqrt-pow1_binary64_5257
17×pow-prod-up_binary64_5309
14×pow1/2_binary64_5319
11×add-cbrt-cube_binary64_5275 add-sqr-sqrt_binary64_5261 pow-sqr_binary64_5212 add-exp-log_binary64_5277
add-cube-cbrt_binary64_5274 *-un-lft-identity_binary64_5239
associate-*l*_binary64_5180
sqrt-prod_binary64_5255
associate-*r*_binary64_5179
prod-exp_binary64_5288 swap-sqr_binary64_5206 cbrt-unprod_binary64_5272 add-log-exp_binary64_5278
*-commutative_binary64_5170
pow-plus_binary64_5302 unswap-sqr_binary64_5207 sqrt-unprod_binary64_5259 pow2_binary64_5320 rem-square-sqrt_binary64_5251
Counts
4 → 108
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
6.0ms
(*.f64 x (*.f64 x 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series211.0ms (9.9%)

Counts
4 → 12
Calls

4 calls:

86.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
47.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
43.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
35.0ms
(*.f64 x (*.f64 x 3))

simplify79.0ms (3.7%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05141737

prune180.0ms (8.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1155120
Fresh224
Picked101
Done011
Total1188126

Merged error: 0.0b

Counts
126 → 8
Compiler

Compiled 2438 to 1876 computations (23.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 x 3))
0.3b
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
0.4b
(*.f64 x (sqrt.f64 3))
19.6b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite30.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_5300
16×add-sqr-sqrt_binary64_5261
13×add-cbrt-cube_binary64_5275 add-exp-log_binary64_5277
11×associate-*r*_binary64_5179
10×add-cube-cbrt_binary64_5274 *-un-lft-identity_binary64_5239
associate-*l*_binary64_5180
pow-prod-down_binary64_5310
sqrt-prod_binary64_5255
prod-exp_binary64_5288 cbrt-unprod_binary64_5272
add-log-exp_binary64_5278
unswap-sqr_binary64_5207 sqrt-pow1_binary64_5257 *-commutative_binary64_5170
pow1/2_binary64_5319
Counts
4 → 71
Calls

4 calls:

8.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
6.0ms
(*.f64 x (sqrt.f64 3))
6.0ms
(*.f64 x (*.f64 x 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series234.0ms (10.9%)

Counts
4 → 12
Calls

4 calls:

100.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
53.0ms
(*.f64 x (sqrt.f64 3))
45.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
35.0ms
(*.f64 x (*.f64 x 3))

simplify83.0ms (3.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04865755
14865755

prune110.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh156
Picked101
Done011
Total84791

Merged error: 0.0b

Counts
91 → 7
Compiler

Compiled 1577 to 1237 computations (21.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x x) 3)
0.3b
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
0.4b
(*.f64 x (sqrt.f64 3))
19.6b
(sqrt.f64 (*.f64 (*.f64 x x) 3))

rewrite36.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_5300
17×add-sqr-sqrt_binary64_5261
13×add-cbrt-cube_binary64_5275 associate-*r*_binary64_5179 add-exp-log_binary64_5277
10×add-cube-cbrt_binary64_5274 *-un-lft-identity_binary64_5239
pow-prod-down_binary64_5310
associate-*l*_binary64_5180
sqrt-prod_binary64_5255
prod-exp_binary64_5288 cbrt-unprod_binary64_5272
unswap-sqr_binary64_5207 add-log-exp_binary64_5278
sqrt-pow1_binary64_5257 *-commutative_binary64_5170
pow1/2_binary64_5319
Counts
4 → 72
Calls

4 calls:

9.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
7.0ms
(*.f64 (*.f64 x x) 3)
6.0ms
(*.f64 x (sqrt.f64 3))
5.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))

series220.0ms (10.3%)

Counts
4 → 12
Calls

4 calls:

96.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
46.0ms
(*.f64 x (sqrt.f64 3))
43.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
35.0ms
(*.f64 (*.f64 x x) 3)

simplify73.0ms (3.4%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05229768

prune87.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh325
Picked011
Done011
Total85691

Merged error: 0b

Counts
91 → 6
Compiler

Compiled 1357 to 1010 computations (25.6% saved)

regimes27.0ms (1.3%)

Compiler

Compiled 144 to 122 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample360.0ms (16.8%)

Algorithm
intervals
Results
139.0ms8000×body128valid
Compiler

Compiled 77 to 66 computations (14.3% saved)

Profiling

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