Details

Time bar (total: 5.1s)

analyze1.5s (30.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14

sample52.0ms (1%)

Algorithm
intervals
Results
14.0ms256×body80valid
14.0ms166×body80invalid

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
098217
198217

prune10.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0))
0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
0.2b
(/.f64 (*.f64 z t) 16.0)

rewrite39.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×add-log-exp_binary64
13×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 sum-log_binary64
pow1_binary64 diff-log_binary64
flip3-+_binary64 associate-/r*_binary64 times-frac_binary64 flip-+_binary64
sub-neg_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 div-exp_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
flip3--_binary64 cbrt-unprod_binary64 associate-+l-_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
Counts
4 → 67
Calls

4 calls:

17.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
10.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0))
5.0ms
(/.f64 (*.f64 z t) 16.0)

series103.0ms (2%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
30.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
14.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0))
5.0ms
(/.f64 (*.f64 z t) 16.0)

simplify41.0ms (0.8%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049951191
149951191

prune127.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New77279
Fresh000
Picked101
Done000
Total78280

Merged error: 0b

Counts
80 → 2

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)
0.0b
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))
0.0b
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

rewrite26.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64
10×*-un-lft-identity_binary64
sum-log_binary64
add-sqr-sqrt_binary64
diff-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
sub-neg_binary64 distribute-lft-out_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
flip3--_binary64 associate-+l-_binary64 difference-of-squares_binary64 flip--_binary64
Counts
3 → 46
Calls

3 calls:

11.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)
9.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))

series97.0ms (1.9%)

Counts
3 → 9
Calls

3 calls:

52.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)
32.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))
14.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))

simplify40.0ms (0.8%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051301042

prune74.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done000
Total55257

Merged error: 0b

Counts
57 → 2

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
0.2b
(/.f64 (*.f64 z t) 16.0)
0.2b
(/.f64 (*.f64 z t) 16.0)
0.3b
(*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))) (sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))))

rewrite57.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
44×sqrt-div_binary64
40×add-sqr-sqrt_binary64
35×sqrt-prod_binary64
33×*-un-lft-identity_binary64
22×frac-sub_binary64
20×pow1_binary64
17×add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64 frac-times_binary64
12×swap-sqr_binary64
11×flip3-+_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64
pow1/2_binary64 sqrt-pow1_binary64
associate-*r*_binary64 associate-*l*_binary64
distribute-lft-out--_binary64
associate-/r*_binary64 times-frac_binary64
pow-prod-up_binary64 difference-of-squares_binary64
add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 div-exp_binary64 associate-*l/_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 pow-sqr_binary64
clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-sqrt-square_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 142
Calls

4 calls:

30.0ms
(*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))) (sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))))
10.0ms
(sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
5.0ms
(/.f64 (*.f64 z t) 16.0)
5.0ms
(/.f64 (*.f64 z t) 16.0)

series228.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

188.0ms
(sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
31.0ms
(*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))) (sqrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))))
4.0ms
(/.f64 (*.f64 z t) 16.0)
4.0ms
(/.f64 (*.f64 z t) 16.0)

simplify46.0ms (0.9%)

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
054043886

prune266.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done011
Total1542156

Merged error: 0b

Counts
156 → 2

regimes935.0ms (18.5%)

Accuracy

Total 0.0b remaining (3.1%)

Threshold costs 0.0b (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05517
15517

end0.0ms (0%)

sample1.3s (25%)

Algorithm
intervals
Results
501.0ms8000×body80valid
247.0ms3902×body80invalid

Profiling

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