Details

Time bar (total: 1.7s)

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)

simplify22.0ms (1.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

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: 0.1b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 x 3) x)

rewrite7.0ms (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 insert-posit16 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

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

series38.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(*.f64 (*.f64 x 3) x)

simplify108.0ms (6.3%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
04934177
14934177

prune20.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New17522
Fresh000
Picked011
Done000
Total17623

Merged error: 0.0b

Counts
23 → 6
Compiler

Compiled 223 to 159 computations (28.7% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 x (*.f64 x 3))
0.4b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
15.9b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
15.9b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite37.0ms (2.2%)

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 insert-posit16
*-commutative_binary64
rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 unswap-sqr_binary64 pow2_binary64
Counts
4 → 112
Calls

4 calls:

16.0ms
(*.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)))

series237.0ms (14%)

Counts
4 → 12
Calls

4 calls:

99.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
51.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
50.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
36.0ms
(*.f64 x (*.f64 x 3))

simplify124.0ms (7.3%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
05006775

prune101.0ms (6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1204124
Fresh134
Picked101
Done011
Total1228130

Merged error: 0b

Counts
130 → 8
Compiler

Compiled 1506 to 1129 computations (25% saved)

localize8.0ms (0.5%)

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)))
15.9b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
15.9b
(sqrt.f64 (*.f64 (*.f64 x x) 3))

rewrite38.0ms (2.2%)

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
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
associate-*l*_binary64
add-log-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 prod-exp_binary64 insert-posit16 sqrt-prod_binary64
unswap-sqr_binary64 *-commutative_binary64
sqrt-unprod_binary64
Counts
4 → 78
Calls

4 calls:

18.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
7.0ms
(*.f64 (*.f64 x x) 3)
5.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series230.0ms (13.6%)

Counts
4 → 12
Calls

4 calls:

89.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
51.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
47.0ms
(*.f64 (*.f64 x x) 3)
42.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

simplify94.0ms (5.5%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04976774
14976774

prune77.0ms (4.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh156
Picked101
Done011
Total91798

Merged error: 0b

Counts
98 → 7
Compiler

Compiled 1286 to 920 computations (28.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

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 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-log-exp_binary64 associate-*l*_binary64 unswap-sqr_binary64 insert-posit16 *-commutative_binary64
Counts
1 → 20
Calls

1 calls:

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

series36.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(*.f64 (*.f64 x x) 3)

simplify83.0ms (4.9%)

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05023191

prune13.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22123
Fresh145
Picked011
Done011
Total23730

Merged error: 0b

Counts
30 → 7
Compiler

Compiled 174 to 107 computations (38.5% saved)

regimes28.0ms (1.7%)

Compiler

Compiled 176 to 140 computations (20.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample350.0ms (20.7%)

Algorithm
intervals
Results
135.0ms8000×body80valid
0.0msbody80invalid
Compiler

Compiled 93 to 75 computations (19.4% saved)

Profiling

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