Details

Time bar (total: 2.0s)

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)

simplify167.0ms (8.3%)

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)

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_7212 add-cbrt-cube_binary64_7187 add-exp-log_binary64_7189
associate-*r*_binary64_7096 cbrt-unprod_binary64_7184 pow-prod-down_binary64_7222 prod-exp_binary64_7200
add-sqr-sqrt_binary64_7175 add-cube-cbrt_binary64_7186 *-un-lft-identity_binary64_7154
add-log-exp_binary64_7190 *-commutative_binary64_7087 associate-*l*_binary64_7097
Counts
1 → 18
Calls

1 calls:

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

series41.0ms (2%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(*.f64 (*.f64 x 3) x)

simplify73.0ms (3.6%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04891168
14891168

prune23.0ms (1.1%)

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)))

rewrite39.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64_7212
80×pow-prod-down_binary64_7222
66×sqrt-pow1_binary64_7171
17×pow-prod-up_binary64_7221
14×pow1/2_binary64_7231
11×add-cbrt-cube_binary64_7187 add-sqr-sqrt_binary64_7175 pow-sqr_binary64_7127 add-exp-log_binary64_7189
add-cube-cbrt_binary64_7186 *-un-lft-identity_binary64_7154
associate-*l*_binary64_7097
sqrt-prod_binary64_7169
associate-*r*_binary64_7096
swap-sqr_binary64_7121 add-log-exp_binary64_7190 cbrt-unprod_binary64_7184 prod-exp_binary64_7200
*-commutative_binary64_7087
rem-square-sqrt_binary64_7166 sqrt-unprod_binary64_7173 pow2_binary64_7232 pow-plus_binary64_7214 unswap-sqr_binary64_7122
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))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series217.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

84.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
50.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
48.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
35.0ms
(*.f64 x (*.f64 x 3))

simplify83.0ms (4.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05095737

prune103.0ms (5.1%)

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 1451 to 1090 computations (24.9% saved)

localize10.0ms (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)))

rewrite29.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_7212
16×add-sqr-sqrt_binary64_7175
13×add-cbrt-cube_binary64_7187 add-exp-log_binary64_7189
11×associate-*r*_binary64_7096
10×add-cube-cbrt_binary64_7186 *-un-lft-identity_binary64_7154
associate-*l*_binary64_7097
pow-prod-down_binary64_7222
sqrt-prod_binary64_7169
cbrt-unprod_binary64_7184 prod-exp_binary64_7200
add-log-exp_binary64_7190
sqrt-pow1_binary64_7171 *-commutative_binary64_7087 unswap-sqr_binary64_7122
pow1/2_binary64_7231
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))
5.0ms
(*.f64 x (*.f64 x 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series232.0ms (11.4%)

Counts
4 → 12
Calls

4 calls:

91.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
56.0ms
(*.f64 x (sqrt.f64 3))
49.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
36.0ms
(*.f64 x (*.f64 x 3))

simplify96.0ms (4.7%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04827755
14827755

prune84.0ms (4.1%)

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 1256 to 980 computations (22% saved)

localize10.0ms (0.5%)

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))

rewrite32.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_7212
17×add-sqr-sqrt_binary64_7175
13×associate-*r*_binary64_7096 add-cbrt-cube_binary64_7187 add-exp-log_binary64_7189
10×add-cube-cbrt_binary64_7186 *-un-lft-identity_binary64_7154
pow-prod-down_binary64_7222
associate-*l*_binary64_7097
sqrt-prod_binary64_7169
cbrt-unprod_binary64_7184 prod-exp_binary64_7200
add-log-exp_binary64_7190 unswap-sqr_binary64_7122
sqrt-pow1_binary64_7171 *-commutative_binary64_7087
pow1/2_binary64_7231
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))

series215.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

85.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
49.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
47.0ms
(*.f64 x (sqrt.f64 3))
34.0ms
(*.f64 (*.f64 x x) 3)

simplify74.0ms (3.7%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05080768

prune76.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh325
Picked011
Done011
Total85691

Merged error: 0b

Counts
91 → 6
Compiler

Compiled 1186 to 873 computations (26.4% saved)

regimes28.0ms (1.4%)

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%)

sample359.0ms (17.7%)

Algorithm
intervals
Results
138.0ms8000×body128valid
Compiler

Compiled 77 to 66 computations (14.3% saved)

Profiling

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