Details

Time bar (total: 2.4s)

analyze71.0ms (3%)

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
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify100.0ms (4.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02413
12413

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 20 to 15 computations (25% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 2) (*.f64 x x))
0.0b
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_14098
sum-log_binary64_14150
add-cbrt-cube_binary64_14095 flip-+_binary64_14033 add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059 pow1_binary64_14120 +-commutative_binary64_13989 add-sqr-sqrt_binary64_14081 flip3-+_binary64_14062 add-exp-log_binary64_14097
distribute-lft-out_binary64_14010 associate-+l+_binary64_13992
Counts
2 → 25
Calls

2 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x 2) (*.f64 x x))

series173.0ms (7.3%)

Counts
2 → 21
Calls

2 calls:

127.0ms
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
45.0ms
(+.f64 (*.f64 x 2) (*.f64 x x))
Compiler

Compiled 262 to 240 computations (8.4% saved)

simplify81.0ms (3.5%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04963541
14963541

prune33.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh000
Picked011
Done000
Total45247
Error
0.0b
Counts
47 → 2
Compiler

Compiled 553 to 277 computations (49.9% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
0.1b
(*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))
1.4b
(-.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
27.9b
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))

rewrite86.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
28×distribute-rgt-in_binary64_14009 distribute-lft-in_binary64_14008 associate-*r/_binary64_14001
20×add-cbrt-cube_binary64_14095 add-exp-log_binary64_14097
18×pow1_binary64_14120
17×add-sqr-sqrt_binary64_14081
16×add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059
12×flip-+_binary64_14033 flip3-+_binary64_14062
prod-exp_binary64_14108 cbrt-unprod_binary64_14092 times-frac_binary64_14065 pow-prod-down_binary64_14130
frac-times_binary64_14069 associate--l+_binary64_13996
cancel-sign-sub-inv_binary64_14025
add-log-exp_binary64_14098 associate-*l*_binary64_14000
associate-*l/_binary64_14002
flip--_binary64_14034 unpow-prod-down_binary64_14138 associate-/r*_binary64_14003 flip3--_binary64_14063 associate-/l*_binary64_14004
associate-*r*_binary64_13999 associate-/l/_binary64_14006 *-commutative_binary64_13990 associate-/r/_binary64_14005
frac-2neg_binary64_14070 div-exp_binary64_14110 sqr-pow_binary64_14031 div-sub_binary64_14064 div-inv_binary64_14056 clear-num_binary64_14058 cbrt-undiv_binary64_14093 unswap-sqr_binary64_14027 diff-log_binary64_14151 sub-neg_binary64_14052
Counts
4 → 126
Calls

4 calls:

26.0ms
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))
17.0ms
(*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
17.0ms
(-.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
12.0ms
(*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))

series753.0ms (32%)

Counts
4 → 51
Calls

4 calls:

381.0ms
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))
225.0ms
(-.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
84.0ms
(*.f64 x (*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
63.0ms
(*.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))
Compiler

Compiled 1526 to 1226 computations (19.7% saved)

simplify75.0ms (3.2%)

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055133468

prune248.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1770177
Fresh000
Picked011
Done011
Total1772179
Error
0.0b
Counts
179 → 2
Compiler

Compiled 4894 to 3043 computations (37.8% saved)

regimes103.0ms (4.4%)

Accuracy

Total 0.0b remaining (69.2%)

Threshold costs 0.0b (69.2%)

Compiler

Compiled 686 to 537 computations (21.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample581.0ms (24.7%)

Algorithm
intervals
Results
238.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 162 to 126 computations (22.2% saved)

Profiling

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