Details

Time bar (total: 2.4s)

analyze438.0ms (18.1%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
46.8%44.5%8.7%10
51.5%39%9.5%11
57.3%32.6%10.1%12
63.8%21.6%14.7%13
66.2%18.7%15.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample21.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms23×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify170.0ms (7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0147
1147

prune3.0ms (0.1%)

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 10 to 10 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)

rewrite18.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*l*_binary64
pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 21
Calls

1 calls:

9.0ms
(*.f64 (+.f64 x y) z)

series57.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

57.0ms
(*.f64 (+.f64 x y) z)

simplify72.0ms (3%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05386223

prune23.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325

Merged error: 0b

Counts
25 → 3
Compiler

Compiled 324 to 132 computations (59.3% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x y))
0.0b
(sqrt.f64 (+.f64 x y))
0.1b
(*.f64 z (sqrt.f64 (+.f64 x y)))
0.1b
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 z (sqrt.f64 (+.f64 x y))))

rewrite41.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
18×sqrt-div_binary64
17×add-sqr-sqrt_binary64 sqrt-prod_binary64
13×pow1_binary64
11×add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-*r/_binary64 associate-*l*_binary64
flip3-+_binary64 flip-+_binary64
associate-*r*_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 prod-exp_binary64 frac-times_binary64
pow1/2_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 z (sqrt.f64 (+.f64 x y))))
9.0ms
(*.f64 z (sqrt.f64 (+.f64 x y)))
8.0ms
(sqrt.f64 (+.f64 x y))
3.0ms
(sqrt.f64 (+.f64 x y))

series301.0ms (12.4%)

Counts
4 → 12
Calls

4 calls:

112.0ms
(*.f64 z (sqrt.f64 (+.f64 x y)))
102.0ms
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 z (sqrt.f64 (+.f64 x y))))
43.0ms
(sqrt.f64 (+.f64 x y))
43.0ms
(sqrt.f64 (+.f64 x y))

simplify64.0ms (2.7%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049651419
149651419

prune66.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done011
Total993102

Merged error: 0b

Counts
102 → 3
Compiler

Compiled 1649 to 409 computations (75.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)
0.2b
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
3.1b
(sqrt.f64 (*.f64 (+.f64 x y) z))
3.1b
(sqrt.f64 (*.f64 (+.f64 x y) z))

rewrite45.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
61×pow1_binary64
32×sqrt-pow1_binary64
23×pow-prod-down_binary64
20×associate-*l/_binary64
16×sqrt-div_binary64
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 pow1/2_binary64
10×pow-prod-up_binary64 add-cube-cbrt_binary64
flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r*_binary64
pow-sqr_binary64 sqrt-prod_binary64
add-log-exp_binary64 swap-sqr_binary64 frac-times_binary64
cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
distribute-lft-out_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 pow2_binary64
Counts
4 → 104
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
7.0ms
(*.f64 (+.f64 x y) z)
5.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))
5.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))

series435.0ms (18%)

Counts
4 → 12
Calls

4 calls:

164.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))
164.0ms
(sqrt.f64 (*.f64 (+.f64 x y) z))
56.0ms
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
51.0ms
(*.f64 (+.f64 x y) z)

simplify86.0ms (3.5%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049001252
149001252

prune76.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done022
Total1163119

Merged error: 0b

Counts
119 → 3
Compiler

Compiled 1739 to 413 computations (76.3% saved)

regimes51.0ms (2.1%)

Compiler

Compiled 167 to 131 computations (21.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample432.0ms (17.8%)

Algorithm
intervals
Results
176.0ms8000×body128valid
12.0ms595×body128invalid
Compiler

Compiled 40 to 33 computations (17.5% saved)

Profiling

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