Details

Time bar (total: 2.0s)

analyze74.0ms (3.8%)

Algorithm
1×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
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms255×body128valid
0.0ms1×body512valid
0.0ms2×body128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify14.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
01387
11387

prune2.0ms (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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 500 (-.f64 x y))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64
6×cancel-sign-sub-inv_binary64
5×associate-*r*_binary64 add-cube-cbrt_binary64
4×distribute-lft-in_binary64 distribute-rgt-in_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×sub-neg_binary64 associate-*r/_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 30
Calls

1 calls:

8.0ms
(*.f64 500 (-.f64 x y))

series46.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

46.0ms
(*.f64 500 (-.f64 x y))

simplify82.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04919298
14919298

prune29.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done000
Total32234

Merged error: 0.0b

Counts
34 → 2
Compiler

Compiled 382 to 238 computations (37.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 500 (sqrt.f64 (-.f64 x y)))
0.2b
(*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite28.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
16×associate-*r*_binary64
15×add-sqr-sqrt_binary64
14×sqrt-div_binary64
11×*-un-lft-identity_binary64 sqrt-prod_binary64
10×associate-*r/_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
7×flip3--_binary64 add-cube-cbrt_binary64 flip--_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 frac-times_binary64
2×add-log-exp_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 57
Calls

2 calls:

14.0ms
(*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
8.0ms
(*.f64 500 (sqrt.f64 (-.f64 x y)))

series125.0ms (6.3%)

Counts
2 → 6
Calls

2 calls:

80.0ms
(*.f64 500 (sqrt.f64 (-.f64 x y)))
45.0ms
(*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify65.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05110927

prune57.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62163
Fresh000
Picked101
Done011
Total63265

Merged error: 0b

Counts
65 → 2
Compiler

Compiled 1111 to 445 computations (59.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (-.f64 x y)))
0.1b
(*.f64 500 (sqrt.f64 (-.f64 x y)))
0.2b
(*.f64 (*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (-.f64 x y))))
0.2b
(*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y))))

rewrite78.0ms (4%)

Algorithm
1×rewrite-expression-head
Rules
114×sqrt-div_binary64
46×sqrt-prod_binary64
36×associate-*r/_binary64
35×flip3--_binary64 flip--_binary64
32×frac-times_binary64
30×associate-*r*_binary64
29×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
22×pow1_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-*l/_binary64
15×add-cube-cbrt_binary64
10×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
3×*-commutative_binary64
2×pow1/2_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64
Counts
4 → 138
Calls

4 calls:

24.0ms
(*.f64 (*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (-.f64 x y))))
16.0ms
(*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y))))
9.0ms
(*.f64 500 (sqrt.f64 (-.f64 x y)))
5.0ms
(sqrt.f64 (sqrt.f64 (-.f64 x y)))

series673.0ms (34.1%)

Counts
4 → 12
Calls

4 calls:

332.0ms
(*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y))))
217.0ms
(sqrt.f64 (sqrt.f64 (-.f64 x y)))
72.0ms
(*.f64 500 (sqrt.f64 (-.f64 x y)))
52.0ms
(*.f64 (*.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (-.f64 x y))))

simplify119.0ms (6%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
048983082
148983082

prune145.0ms (7.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1500150
Fresh000
Picked011
Done011
Total1502152

Merged error: 0b

Counts
152 → 2
Compiler

Compiled 3562 to 1178 computations (66.9% saved)

regimes34.0ms (1.7%)

Compiler

Compiled 112 to 80 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms (0%)

sample363.0ms (18.4%)

Algorithm
1×intervals
Results
165.0ms7973×body128valid
1.0ms56×body128invalid
0.0ms10×body512valid
0.0ms5×body2048valid
0.0ms6×body1024valid
0.0ms6×body256valid
Compiler

Compiled 34 to 27 computations (20.6% saved)

Profiling

Loading profile data...