Details

Time bar (total: 1.4s)

analyze1.1s (79.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.6%98.2%0.2%10
3.1%90.4%6.5%11
9.2%84.4%6.5%12
13%80.6%6.5%13
24.8%68.7%6.5%14
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample40.0ms (2.8%)

Algorithm
intervals
Results
18.0ms256×body80valid
3.0ms74×body80nan
2.0ms34×body80invalid
Compiler

Compiled 29 to 30 computations (-3.4% saved)

simplify61.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
080721
180721

prune6.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.7b

Counts
2 → 1
Compiler

Compiled 28 to 24 computations (14.3% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b
(-.f64 (*.f64 z z) (*.f64 t a))
4.5b
(*.f64 (*.f64 x y) z)
9.6b
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
22.1b
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))

rewrite41.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64 add-cbrt-cube_binary64
11×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64
sqrt-prod_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64
sqrt-div_binary64
pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
associate-/r/_binary64
sub-neg_binary64 pow1/2_binary64 diff-log_binary64 associate-*l*_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 75
Calls

4 calls:

19.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
7.0ms
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
7.0ms
(*.f64 (*.f64 x y) z)
4.0ms
(-.f64 (*.f64 z z) (*.f64 t a))

series67.0ms (4.7%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
17.0ms
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
8.0ms
(-.f64 (*.f64 z z) (*.f64 t a))
7.0ms
(*.f64 (*.f64 x y) z)

simplify64.0ms (4.6%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
053091466

prune3.0ms (0.2%)

Profiling

Loading profile data...