Details

Time bar (total: 1.1s)

analyze16.0ms (1.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample10.0ms (0.9%)

Algorithm
intervals
Results
4.0ms256×body80valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify12.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
077
177

prune3.0ms (0.3%)

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)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (/.f64 y 500))

rewrite6.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64
flip3-+_binary64 pow1_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 12
Calls

1 calls:

6.0ms
(+.f64 x (/.f64 y 500))

series5.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(+.f64 x (/.f64 y 500))

simplify74.0ms (7%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05030164

prune15.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3
Compiler

Compiled 161 to 113 computations (29.8% saved)

localize3.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y 1/500))
0.1b
(*.f64 y 1/500)

rewrite7.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 associate-*l*_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 29
Calls

2 calls:

4.0ms
(*.f64 y 1/500)
3.0ms
(+.f64 x (*.f64 y 1/500))

series7.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

4.0ms
(+.f64 x (*.f64 y 1/500))
2.0ms
(*.f64 y 1/500)

simplify102.0ms (9.6%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04926287
14926287

prune23.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done011
Total35338

Merged error: 0.0b

Counts
38 → 3
Compiler

Compiled 321 to 221 computations (31.2% saved)

localize9.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 y 500))
0.2b
(*.f64 1/250000 (*.f64 y y))
4.8b
(-.f64 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
29.6b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/250000 (*.f64 y y))) (-.f64 x (/.f64 y 500)))

rewrite32.0ms (3%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
26×*-un-lft-identity_binary64
23×times-frac_binary64
16×add-cube-cbrt_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×difference-of-squares_binary64
pow1_binary64
add-log-exp_binary64
associate-/r*_binary64
distribute-lft-out--_binary64
flip3--_binary64 flip--_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 associate-/l*_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 associate-/r/_binary64
associate-*r*_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
4 → 88
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/250000 (*.f64 y y))) (-.f64 x (/.f64 y 500)))
7.0ms
(-.f64 x (/.f64 y 500))
6.0ms
(*.f64 1/250000 (*.f64 y y))
5.0ms
(-.f64 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))

series29.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1/250000 (*.f64 y y))) (-.f64 x (/.f64 y 500)))
8.0ms
(-.f64 (*.f64 x x) (*.f64 1/250000 (*.f64 y y)))
5.0ms
(-.f64 x (/.f64 y 500))
3.0ms
(*.f64 1/250000 (*.f64 y y))

simplify81.0ms (7.6%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049332240
149332240

prune66.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done022
Total1003103

Merged error: 0.0b

Counts
103 → 3
Compiler

Compiled 2283 to 1207 computations (47.1% saved)

regimes90.0ms (8.5%)

Compiler

Compiled 120 to 110 computations (8.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample464.0ms (43.7%)

Algorithm
intervals
Results
150.0ms8000×body80valid
Compiler

Compiled 36 to 34 computations (5.6% saved)

Profiling

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