Details

Time bar (total: 1.3s)

analyze753.0ms (60.2%)

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
28.1%71.8%0.1%9
42.1%57.7%0.1%10
49.1%50.7%0.1%11
57.3%42.5%0.1%12
66.9%33%0.1%13
71.7%28.2%0.1%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample18.0ms (1.4%)

Algorithm
intervals
Results
10.0ms256×body80valid
Compiler

Compiled 25 to 22 computations (12% saved)

simplify15.0ms (1.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02018
12018

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.6b

Counts
2 → 1
Compiler

Compiled 24 to 18 computations (25% saved)

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
33.2b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite14.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64 sum-log_binary64
flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64 sqrt-div_binary64
pow1/2_binary64 associate-+l+_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64
Counts
2 → 28
Calls

2 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

series34.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

22.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
12.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))

simplify83.0ms (6.6%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04949711
14949711

prune29.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh000
Picked011
Done000
Total29635

Merged error: 16.2b

Counts
35 → 6
Compiler

Compiled 661 to 130 computations (80.3% saved)

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))))
33.2b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
33.2b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite49.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod_binary64
54×add-sqr-sqrt_binary64
38×sqrt-pow1_binary64
32×sqrt-div_binary64
31×pow1_binary64
20×*-un-lft-identity_binary64 pow1/2_binary64 add-cube-cbrt_binary64
15×swap-sqr_binary64
flip3-+_binary64 associate-*r*_binary64 pow-prod-up_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip-+_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 pow-sqr_binary64
add-log-exp_binary64 rem-sqrt-square_binary64 frac-times_binary64
associate-*r/_binary64 associate-*l/_binary64
cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 134
Calls

4 calls:

21.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))))
9.0ms
(sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))))
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

series129.0ms (10.3%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))) (sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))))
36.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
29.0ms
(sqrt.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))))
27.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

simplify99.0ms (7.9%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050273497

prune7.0ms (0.5%)

Profiling

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