Details

Time bar (total: 2.2s)

analyze3.0ms (0.1%)

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)

simplify92.0ms (4.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune8.0ms (0.4%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 pow1_binary64_3549
cbrt-unprod_binary64_3521 associate-*r*_binary64_3428 pow-prod-down_binary64_3559 prod-exp_binary64_3537
add-sqr-sqrt_binary64_3510 add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
associate-*l*_binary64_3429 add-log-exp_binary64_3527 *-commutative_binary64_3419
Counts
1 → 18
Calls

1 calls:

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

series25.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 30 to 30 computations (0% saved)

simplify61.0ms (2.8%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04894168
14894168

prune19.0ms (0.9%)

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 153 computations (29.2% saved)

localize5.0ms (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))))
19.8b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
19.8b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite36.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64_3549
80×pow-prod-down_binary64_3559
66×sqrt-pow1_binary64_3506
17×pow-prod-up_binary64_3558
14×pow1/2_binary64_3568
11×add-cbrt-cube_binary64_3524 add-sqr-sqrt_binary64_3510 add-exp-log_binary64_3526 pow-sqr_binary64_3461
add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
associate-*l*_binary64_3429
sqrt-prod_binary64_3504
associate-*r*_binary64_3428
swap-sqr_binary64_3455 cbrt-unprod_binary64_3521 add-log-exp_binary64_3527 prod-exp_binary64_3537
*-commutative_binary64_3419
unswap-sqr_binary64_3456 rem-square-sqrt_binary64_3500 pow2_binary64_3569 pow-plus_binary64_3551 sqrt-unprod_binary64_3508
Counts
4 → 108
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
5.0ms
(*.f64 x (*.f64 x 3))
3.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
3.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series135.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
29.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
29.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
27.0ms
(*.f64 x (*.f64 x 3))
Compiler

Compiled 258 to 222 computations (14% saved)

simplify73.0ms (3.4%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05035733

prune101.0ms (4.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh224
Picked101
Done011
Total1197126

Merged error: 0b

Counts
126 → 7
Compiler

Compiled 1434 to 1072 computations (25.2% saved)

localize8.0ms (0.4%)

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))))
0.3b
(*.f64 x (sqrt.f64 3))
19.8b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite27.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_3549
16×add-sqr-sqrt_binary64_3510
13×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
11×associate-*r*_binary64_3428
10×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
associate-*l*_binary64_3429
pow-prod-down_binary64_3559
sqrt-prod_binary64_3504
cbrt-unprod_binary64_3521 prod-exp_binary64_3537
add-log-exp_binary64_3527
unswap-sqr_binary64_3456 *-commutative_binary64_3419 sqrt-pow1_binary64_3506
pow1/2_binary64_3568
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 (*.f64 x 3))
5.0ms
(*.f64 x (sqrt.f64 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series143.0ms (6.6%)

Counts
4 → 12
Calls

4 calls:

52.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
35.0ms
(*.f64 x (sqrt.f64 3))
30.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
26.0ms
(*.f64 x (*.f64 x 3))
Compiler

Compiled 272 to 242 computations (11% saved)

simplify88.0ms (4.1%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04953755
14953755

prune83.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh145
Picked101
Done011
Total84690

Merged error: 0b

Counts
90 → 6
Compiler

Compiled 1241 to 966 computations (22.2% saved)

localize8.0ms (0.4%)

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))
19.8b
(sqrt.f64 (*.f64 (*.f64 x x) 3))

rewrite29.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_3549
17×add-sqr-sqrt_binary64_3510
13×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 associate-*r*_binary64_3428
10×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
pow-prod-down_binary64_3559
associate-*l*_binary64_3429
sqrt-prod_binary64_3504
cbrt-unprod_binary64_3521 prod-exp_binary64_3537
unswap-sqr_binary64_3456 add-log-exp_binary64_3527
*-commutative_binary64_3419 sqrt-pow1_binary64_3506
pow1/2_binary64_3568
Counts
4 → 72
Calls

4 calls:

8.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
6.0ms
(*.f64 (*.f64 x x) 3)
5.0ms
(*.f64 x (sqrt.f64 3))
5.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))

series142.0ms (6.6%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
36.0ms
(*.f64 x (sqrt.f64 3))
30.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
25.0ms
(*.f64 (*.f64 x x) 3)
Compiler

Compiled 272 to 242 computations (11% saved)

simplify104.0ms (4.8%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04896764
14896764

prune70.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh134
Picked011
Done011
Total84690

Merged error: 0b

Counts
90 → 6
Compiler

Compiled 1184 to 871 computations (26.4% saved)

regimes266.0ms (12.3%)

Compiler

Compiled 616 to 518 computations (15.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample614.0ms (28.4%)

Algorithm
intervals
Results
129.0ms8000×body128valid
Compiler

Compiled 313 to 264 computations (15.7% saved)

Profiling

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