Details

Time bar (total: 1.5s)

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)

sample8.0ms (0.5%)

Algorithm
intervals
Results
4.0ms256×body80valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0107
1107

prune7.0ms (0.5%)

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)

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
1 → 18
Calls

1 calls:

5.0ms
(*.f64 (*.f64 x 3) x)

series3.0ms (0.2%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(*.f64 (*.f64 x 3) x)

simplify74.0ms (5.1%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04915168
14915168

prune18.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6
Compiler

Compiled 216 to 154 computations (28.7% saved)

localize5.0ms (0.4%)

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))))
18.4b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
18.4b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite211.0ms (14.5%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64
80×pow-prod-down_binary64
66×sqrt-pow1_binary64
17×pow-prod-up_binary64
14×pow1/2_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 pow-sqr_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*l*_binary64
sqrt-prod_binary64
associate-*r*_binary64
add-log-exp_binary64 swap-sqr_binary64 cbrt-unprod_binary64 prod-exp_binary64
*-commutative_binary64
rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 unswap-sqr_binary64 pow2_binary64
Counts
4 → 108
Calls

4 calls:

193.0ms
(*.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)))

series19.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

8.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
3.0ms
(*.f64 x (*.f64 x 3))

simplify63.0ms (4.3%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05095737

prune86.0ms (5.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1137120
Fresh314
Picked101
Done011
Total1179126

Merged error: 0.0b

Counts
126 → 9
Compiler

Compiled 1463 to 1102 computations (24.7% saved)

localize8.0ms (0.5%)

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 (*.f64 x x) 3)))
18.4b
(sqrt.f64 (*.f64 (*.f64 x x) 3))
18.4b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite30.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
59×pow1_binary64
38×pow-prod-down_binary64
24×sqrt-pow1_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
associate-*r*_binary64
add-log-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 prod-exp_binary64 sqrt-prod_binary64
*-commutative_binary64
sqrt-unprod_binary64 unswap-sqr_binary64
Counts
4 → 73
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
5.0ms
(*.f64 x (*.f64 x 3))
4.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series18.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

8.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
3.0ms
(*.f64 x (*.f64 x 3))

simplify69.0ms (4.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05952720

prune61.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh347
Picked101
Done011
Total86894

Merged error: 0.0b

Counts
94 → 8
Compiler

Compiled 1235 to 897 computations (27.4% saved)

localize10.0ms (0.7%)

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)))
0.3b
(*.f64 x (sqrt.f64 3))
18.4b
(sqrt.f64 (*.f64 (*.f64 x x) 3))

rewrite27.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow-prod-down_binary64
associate-*l*_binary64
sqrt-prod_binary64
cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 unswap-sqr_binary64
sqrt-pow1_binary64 *-commutative_binary64
pow1/2_binary64
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)
5.0ms
(*.f64 x (sqrt.f64 3))
4.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))

series21.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
4.0ms
(*.f64 x (sqrt.f64 3))
4.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
3.0ms
(*.f64 (*.f64 x x) 3)

simplify105.0ms (7.2%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04991768
14991768

prune59.0ms (4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh336
Picked101
Done011
Total85792

Merged error: 0b

Counts
92 → 7
Compiler

Compiled 1186 to 873 computations (26.4% saved)

regimes45.0ms (3.1%)

Compiler

Compiled 200 to 176 computations (12% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

end0.0ms (0%)

sample485.0ms (33.2%)

Algorithm
intervals
Results
122.0ms8000×body80valid
Compiler

Compiled 105 to 93 computations (11.4% saved)

Profiling

Loading profile data...