Details

Time bar (total: 1.8s)

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 (0.5%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify94.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune3.0ms (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)

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_5229 add-exp-log_binary64_5231 pow1_binary64_5254
pow-prod-down_binary64_5264 associate-*r*_binary64_5133 prod-exp_binary64_5242 cbrt-unprod_binary64_5226
add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193 add-sqr-sqrt_binary64_5215
associate-*l*_binary64_5134 add-log-exp_binary64_5232 *-commutative_binary64_5124
Counts
1 → 18
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x 3) x)

series21.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

20.0ms
(*.f64 (*.f64 x 3) x)

simplify67.0ms (3.6%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04931168
14931168

prune19.0ms (1%)

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 216 to 154 computations (28.7% 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)))

rewrite35.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64_5254
80×pow-prod-down_binary64_5264
66×sqrt-pow1_binary64_5211
17×pow-prod-up_binary64_5263
14×pow1/2_binary64_5273
11×add-cbrt-cube_binary64_5229 add-exp-log_binary64_5231 add-sqr-sqrt_binary64_5215 pow-sqr_binary64_5166
add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
associate-*l*_binary64_5134
sqrt-prod_binary64_5209
associate-*r*_binary64_5133
add-log-exp_binary64_5232 swap-sqr_binary64_5160 prod-exp_binary64_5242 cbrt-unprod_binary64_5226
*-commutative_binary64_5124
pow-plus_binary64_5256 pow2_binary64_5274 rem-square-sqrt_binary64_5205 unswap-sqr_binary64_5161 sqrt-unprod_binary64_5213
Counts
4 → 108
Calls

4 calls:

13.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
5.0ms
(*.f64 x (*.f64 x 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series112.0ms (6.1%)

Counts
4 → 12
Calls

4 calls:

42.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
27.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
23.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
20.0ms
(*.f64 x (*.f64 x 3))

simplify55.0ms (3%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04926737
14926737

prune104.0ms (5.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1155120
Fresh314
Picked101
Done011
Total1197126

Merged error: 0b

Counts
126 → 7
Compiler

Compiled 1444 to 1088 computations (24.7% saved)

localize9.0ms (0.5%)

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)))

rewrite27.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_5254
16×add-sqr-sqrt_binary64_5215
13×add-cbrt-cube_binary64_5229 add-exp-log_binary64_5231
11×associate-*r*_binary64_5133
10×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
associate-*l*_binary64_5134
pow-prod-down_binary64_5264
sqrt-prod_binary64_5209
prod-exp_binary64_5242 cbrt-unprod_binary64_5226
add-log-exp_binary64_5232
*-commutative_binary64_5124 sqrt-pow1_binary64_5211 unswap-sqr_binary64_5161
pow1/2_binary64_5273
Counts
4 → 71
Calls

4 calls:

8.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
5.0ms
(*.f64 x (sqrt.f64 3))
5.0ms
(*.f64 x (*.f64 x 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series117.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
26.0ms
(*.f64 x (sqrt.f64 3))
23.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
19.0ms
(*.f64 x (*.f64 x 3))

simplify73.0ms (3.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05158755

prune80.0ms (4.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh235
Picked011
Done011
Total84690

Merged error: 0b

Counts
90 → 6
Compiler

Compiled 1229 to 961 computations (21.8% saved)

localize11.0ms (0.6%)

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))

rewrite30.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_5254
17×add-sqr-sqrt_binary64_5215
13×add-cbrt-cube_binary64_5229 add-exp-log_binary64_5231 associate-*r*_binary64_5133
10×add-cube-cbrt_binary64_5228 *-un-lft-identity_binary64_5193
pow-prod-down_binary64_5264
associate-*l*_binary64_5134
sqrt-prod_binary64_5209
prod-exp_binary64_5242 cbrt-unprod_binary64_5226
add-log-exp_binary64_5232 unswap-sqr_binary64_5161
*-commutative_binary64_5124 sqrt-pow1_binary64_5211
pow1/2_binary64_5273
Counts
4 → 72
Calls

4 calls:

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

series106.0ms (5.7%)

Counts
4 → 12
Calls

4 calls:

43.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
24.0ms
(*.f64 x (sqrt.f64 3))
22.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
17.0ms
(*.f64 (*.f64 x x) 3)

simplify85.0ms (4.6%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05126768

prune75.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done022
Total84690

Merged error: 0b

Counts
90 → 6
Compiler

Compiled 1186 to 873 computations (26.4% saved)

regimes74.0ms (4%)

Compiler

Compiled 542 to 454 computations (16.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample620.0ms (33.6%)

Algorithm
intervals
Results
133.0ms8000×body128valid
Compiler

Compiled 276 to 232 computations (15.9% saved)

Profiling

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