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 (0.5%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify171.0ms (8.3%)

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)

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_6178 add-cbrt-cube_binary64_6176 pow1_binary64_6201
cbrt-unprod_binary64_6173 associate-*r*_binary64_6085 prod-exp_binary64_6189 pow-prod-down_binary64_6211
add-cube-cbrt_binary64_6175 *-un-lft-identity_binary64_6143 add-sqr-sqrt_binary64_6164
add-log-exp_binary64_6179 *-commutative_binary64_6076 associate-*l*_binary64_6086
Counts
1 → 18
Calls

1 calls:

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

series47.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

46.0ms
(*.f64 (*.f64 x 3) x)

simplify73.0ms (3.6%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04891168
14891168

prune20.0ms (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))
0.4b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
18.5b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
18.5b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite44.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64_6201
80×pow-prod-down_binary64_6211
66×sqrt-pow1_binary64_6160
17×pow-prod-up_binary64_6210
14×pow1/2_binary64_6220
11×add-exp-log_binary64_6178 pow-sqr_binary64_6116 add-cbrt-cube_binary64_6176 add-sqr-sqrt_binary64_6164
add-cube-cbrt_binary64_6175 *-un-lft-identity_binary64_6143
associate-*l*_binary64_6086
sqrt-prod_binary64_6158
associate-*r*_binary64_6085
cbrt-unprod_binary64_6173 add-log-exp_binary64_6179 prod-exp_binary64_6189 swap-sqr_binary64_6110
*-commutative_binary64_6076
rem-square-sqrt_binary64_6155 pow2_binary64_6221 sqrt-unprod_binary64_6162 unswap-sqr_binary64_6111 pow-plus_binary64_6203
Counts
4 → 108
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
6.0ms
(*.f64 x (*.f64 x 3))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series223.0ms (10.9%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
52.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
47.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
37.0ms
(*.f64 x (*.f64 x 3))

simplify84.0ms (4.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05095737

prune106.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh224
Picked101
Done011
Total1197126

Merged error: 0b

Counts
126 → 7
Compiler

Compiled 1432 to 1078 computations (24.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 x 3))
0.4b
(*.f64 x (sqrt.f64 3))
0.4b
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
18.5b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite31.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_6201
16×add-sqr-sqrt_binary64_6164
13×add-exp-log_binary64_6178 add-cbrt-cube_binary64_6176
11×associate-*r*_binary64_6085
10×add-cube-cbrt_binary64_6175 *-un-lft-identity_binary64_6143
associate-*l*_binary64_6086
pow-prod-down_binary64_6211
sqrt-prod_binary64_6158
cbrt-unprod_binary64_6173 prod-exp_binary64_6189
add-log-exp_binary64_6179
unswap-sqr_binary64_6111 sqrt-pow1_binary64_6160 *-commutative_binary64_6076
pow1/2_binary64_6220
Counts
4 → 71
Calls

4 calls:

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

series224.0ms (10.9%)

Counts
4 → 12
Calls

4 calls:

88.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
55.0ms
(*.f64 x (sqrt.f64 3))
45.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
36.0ms
(*.f64 x (*.f64 x 3))

simplify92.0ms (4.5%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04827755
14827755

prune80.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done011
Total83790

Merged error: 0b

Counts
90 → 7
Compiler

Compiled 1238 to 968 computations (21.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x x) 3)
0.4b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
18.5b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
18.5b
(sqrt.f64 (*.f64 (*.f64 x x) 3))

rewrite41.0ms (2%)

Algorithm
rewrite-expression-head
Rules
59×pow1_binary64_6201
38×pow-prod-down_binary64_6211
24×sqrt-pow1_binary64_6160
11×add-exp-log_binary64_6178 add-cbrt-cube_binary64_6176
10×add-sqr-sqrt_binary64_6164
associate-*r*_binary64_6085 add-cube-cbrt_binary64_6175 *-un-lft-identity_binary64_6143
associate-*l*_binary64_6086
cbrt-unprod_binary64_6173 add-log-exp_binary64_6179 prod-exp_binary64_6189 sqrt-prod_binary64_6158 pow1/2_binary64_6220
unswap-sqr_binary64_6111 *-commutative_binary64_6076
sqrt-unprod_binary64_6162
Counts
4 → 74
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
8.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
7.0ms
(*.f64 (*.f64 x x) 3)
5.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series217.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

88.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
47.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
46.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
37.0ms
(*.f64 (*.f64 x x) 3)

simplify89.0ms (4.3%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04933736
14933736

prune73.0ms (3.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh134
Picked011
Done022
Total86793

Merged error: 0b

Counts
93 → 7
Compiler

Compiled 1151 to 822 computations (28.6% saved)

regimes30.0ms (1.5%)

Compiler

Compiled 142 to 120 computations (15.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample356.0ms (17.3%)

Algorithm
intervals
Results
133.0ms8000×body128valid
Compiler

Compiled 76 to 65 computations (14.5% saved)

Profiling

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