Details

Time bar (total: 2.0s)

analyze6.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 20 to 16 computations (20% saved)

sample25.0ms (1.2%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify239.0ms (11.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0491029
1491029

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite35.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_1477
25×associate-*l*_binary64_1396
22×times-frac_binary64_1461
20×sqrt-prod_binary64_1471 add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
13×add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
11×pow1_binary64_1516
associate-*r*_binary64_1395 unswap-sqr_binary64_1423
sqrt-div_binary64_1472
prod-exp_binary64_1504 cbrt-unprod_binary64_1488
pow-prod-down_binary64_1526
add-log-exp_binary64_1494 flip--_binary64_1430 flip3--_binary64_1459
associate-*r/_binary64_1397 frac-times_binary64_1465 *-commutative_binary64_1386
sqrt-pow1_binary64_1473 rem-sqrt-square_binary64_1468 div-exp_binary64_1506 cbrt-undiv_binary64_1489 pow1/2_binary64_1535 div-inv_binary64_1452 associate-*l/_binary64_1398
Counts
3 → 86
Calls

3 calls:

15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series195.0ms (9.7%)

Counts
3 → 9
Calls

3 calls:

107.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
54.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
33.0ms
(*.f64 3 (*.f64 v v))

simplify71.0ms (3.5%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049651923
149651923

prune137.0ms (6.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh000
Picked011
Done000
Total94296

Merged error: 0b

Counts
96 → 2
Compiler

Compiled 2577 to 1926 computations (25.3% saved)

localize13.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.1b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite48.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod_binary64_1471
28×associate-*l*_binary64_1396
22×sqrt-div_binary64_1472
21×add-sqr-sqrt_binary64_1477
19×add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
18×times-frac_binary64_1461
17×pow1_binary64_1516
13×add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
10×pow-prod-down_binary64_1526
frac-times_binary64_1465
associate-*r/_binary64_1397
prod-exp_binary64_1504 cbrt-unprod_binary64_1488
flip--_binary64_1430 flip3--_binary64_1459 associate-*l/_binary64_1398
sqrt-pow1_binary64_1473 pow1/2_binary64_1535
add-log-exp_binary64_1494
associate-*r*_binary64_1395 *-commutative_binary64_1386 sqrt-unprod_binary64_1475
rem-sqrt-square_binary64_1468 div-inv_binary64_1452 unswap-sqr_binary64_1423
Counts
3 → 88
Calls

3 calls:

24.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
6.0ms
(*.f64 3 (*.f64 v v))
6.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series198.0ms (9.9%)

Counts
3 → 9
Calls

3 calls:

108.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
54.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
36.0ms
(*.f64 3 (*.f64 v v))

simplify72.0ms (3.6%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050512128

prune168.0ms (8.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh000
Picked101
Done101
Total98199

Merged error: 0b

Counts
99 → 1
Compiler

Compiled 3096 to 2441 computations (21.2% saved)

localize14.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (*.f64 (*.f64 v v) -3) 1/8)
0.1b
(*.f64 (*.f64 v v) -3)

rewrite19.0ms (1%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_1516 add-cbrt-cube_binary64_1491 add-exp-log_binary64_1493
prod-exp_binary64_1504 cbrt-unprod_binary64_1488 pow-prod-down_binary64_1526
associate-*r*_binary64_1395
add-sqr-sqrt_binary64_1477
add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
add-log-exp_binary64_1494 *-commutative_binary64_1386 associate-*l*_binary64_1396
unswap-sqr_binary64_1423
Counts
2 → 40
Calls

2 calls:

9.0ms
(*.f64 (*.f64 (*.f64 v v) -3) 1/8)
7.0ms
(*.f64 (*.f64 v v) -3)

series70.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

36.0ms
(*.f64 (*.f64 (*.f64 v v) -3) 1/8)
34.0ms
(*.f64 (*.f64 v v) -3)

simplify66.0ms (3.3%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04862381
14862381

prune52.0ms (2.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done000
Total46147

Merged error: 0b

Counts
47 → 1
Compiler

Compiled 910 to 638 computations (29.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03525
13525

end0.0ms (0%)

sample560.0ms (27.9%)

Algorithm
intervals
Results
389.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 54 to 43 computations (20.4% saved)

Profiling

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