Details

Time bar (total: 1.8s)

analyze345.0ms (19.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%81.1%18.9%7
6.2%74.9%18.9%8
9.4%65.5%25.1%9
15.6%48.4%36%10
20.3%43.1%36.6%11
22.6%36%41.4%12
27.1%25.1%47.8%13
29.5%22.5%48%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample22.0ms (1.3%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms68×body128nan
1.0ms29×body128invalid
Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify457.0ms (25.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (361.0ms)

IterNodesCost
01052915

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
26.7b
Counts
2 → 1
Compiler

Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
2.4b
(-.f64 (*.f64 y y) (*.f64 z z))
26.6b
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

rewrite22.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_19878
sqrt-prod_binary64_19872
add-cube-cbrt_binary64_19891 associate-*r*_binary64_19796 *-un-lft-identity_binary64_19856
pow1_binary64_19917
add-cbrt-cube_binary64_19892 add-log-exp_binary64_19895 add-exp-log_binary64_19894
sqrt-div_binary64_19873
flip3--_binary64_19860 difference-of-squares_binary64_19825 flip--_binary64_19831 associate-*l*_binary64_19797
unswap-sqr_binary64_19824 associate-*r/_binary64_19798
sqrt-pow1_binary64_19874 *-commutative_binary64_19787 sub-neg_binary64_19849 prod-exp_binary64_19905 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 rem-sqrt-square_binary64_19869 pow-prod-down_binary64_19927 cbrt-unprod_binary64_19889 pow1/2_binary64_19936
Counts
3 → 54
Calls

3 calls:

9.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
5.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

series125.0ms (7.1%)

Counts
3 → 9
Calls

3 calls:

70.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
30.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
25.0ms
(-.f64 (*.f64 y y) (*.f64 z z))

simplify69.0ms (3.9%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05169930

prune48.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464
Error
0.1b
Counts
64 → 4
Compiler

Compiled 962 to 225 computations (76.6% saved)

localize3.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044
Error
0.1b
Counts
4 → 4
Compiler

Compiled 14 to 13 computations (7.1% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0.1b
Counts
4 → 4
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (+.f64 y z))
0.0b
(sqrt.f64 (-.f64 y z))
0.2b
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))

rewrite27.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_19878
22×sqrt-prod_binary64_19872
17×*-un-lft-identity_binary64_19856
16×sqrt-div_binary64_19873
pow1_binary64_19917 add-cube-cbrt_binary64_19891
associate-*r*_binary64_19796
associate-*l*_binary64_19797
add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
flip3--_binary64_19860 sqrt-pow1_binary64_19874 unswap-sqr_binary64_19824 frac-times_binary64_19866 flip-+_binary64_19830 flip3-+_binary64_19859 flip--_binary64_19831 pow1/2_binary64_19936
pow-prod-down_binary64_19927 add-log-exp_binary64_19895
associate-*l/_binary64_19799 difference-of-squares_binary64_19825 associate-*r/_binary64_19798 rem-sqrt-square_binary64_19869 distribute-lft-out_binary64_19807 distribute-lft-out--_binary64_19808
*-commutative_binary64_19787 prod-exp_binary64_19905 sqrt-unprod_binary64_19876 cbrt-unprod_binary64_19889
Counts
3 → 74
Calls

3 calls:

13.0ms
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
4.0ms
(sqrt.f64 (-.f64 y z))
3.0ms
(sqrt.f64 (+.f64 y z))

series103.0ms (5.9%)

Counts
3 → 9
Calls

3 calls:

51.0ms
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
30.0ms
(sqrt.f64 (-.f64 y z))
21.0ms
(sqrt.f64 (+.f64 y z))

simplify63.0ms (3.6%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051511354

prune55.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh000
Picked011
Done033
Total83487
Error
0.1b
Counts
87 → 4
Compiler

Compiled 1477 to 392 computations (73.5% saved)

regimes337.0ms (19.1%)

Compiler

Compiled 1070 to 791 computations (26.1% saved)

bsearch51.0ms (2.9%)

Compiler

Compiled 1 to 3 computations (-200% saved)

end0.0ms (0%)

Profiling

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