Details

Time bar (total: 2.1s)

analyze359.0ms (17.1%)

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
0%99.9%0.1%7
0%99.9%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.9%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms19×body128invalid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify319.0ms (15.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (159.0ms)

IterNodesCost
0178413
1178413

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 31 to 30 computations (3.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite14.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_10208
13×associate-*l*_binary64_10130
11×*-un-lft-identity_binary64_10187
10×times-frac_binary64_10193
add-cube-cbrt_binary64_10219
add-exp-log_binary64_10222 add-cbrt-cube_binary64_10220
associate-*r*_binary64_10129
pow1_binary64_10245
associate-*r/_binary64_10131 sub-neg_binary64_10180 flip--_binary64_10162 frac-times_binary64_10197 flip3--_binary64_10191 unswap-sqr_binary64_10155 prod-exp_binary64_10233 cbrt-unprod_binary64_10217
cbrt-undiv_binary64_10218 pow-prod-down_binary64_10255 div-exp_binary64_10235 *-commutative_binary64_10120 distribute-rgt-in_binary64_10139 distribute-lft-out--_binary64_10141 div-inv_binary64_10184 distribute-lft-in_binary64_10138 add-log-exp_binary64_10223 difference-of-squares_binary64_10156 associate-*l/_binary64_10132
Counts
1 → 40
Calls

1 calls:

11.0ms
(*.f64 (/.f64 4 y) (-.f64 x z))

series88.0ms (4.2%)

Counts
1 → 3
Calls

1 calls:

88.0ms
(*.f64 (/.f64 4 y) (-.f64 x z))

simplify53.0ms (2.5%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05834564

prune40.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh101
Picked101
Done000
Total43245

Merged error: 0b

Counts
45 → 2
Compiler

Compiled 658 to 394 computations (40.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 z y) -4))
0.0b
(*.f64 (/.f64 z y) -4)
0.2b
(*.f64 (/.f64 4 y) x)

rewrite28.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64_10208
26×associate-*l*_binary64_10130
20×times-frac_binary64_10193
19×add-cube-cbrt_binary64_10219 *-un-lft-identity_binary64_10187
13×add-exp-log_binary64_10222 add-cbrt-cube_binary64_10220
pow1_binary64_10245
associate-*r*_binary64_10129
add-log-exp_binary64_10223
unswap-sqr_binary64_10155 prod-exp_binary64_10233 cbrt-unprod_binary64_10217 associate-*l/_binary64_10132
cbrt-undiv_binary64_10218 pow-prod-down_binary64_10255 div-exp_binary64_10235 *-commutative_binary64_10120 div-inv_binary64_10184
frac-add_binary64_10195 +-commutative_binary64_10119 flip3-+_binary64_10190 sum-log_binary64_10275 flip-+_binary64_10161
Counts
3 → 76
Calls

3 calls:

7.0ms
(+.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 z y) -4))
7.0ms
(*.f64 (/.f64 4 y) x)
7.0ms
(*.f64 (/.f64 z y) -4)

series132.0ms (6.3%)

Counts
3 → 9
Calls

3 calls:

81.0ms
(+.f64 (*.f64 (/.f64 4 y) x) (*.f64 (/.f64 z y) -4))
27.0ms
(*.f64 (/.f64 4 y) x)
24.0ms
(*.f64 (/.f64 z y) -4)

simplify67.0ms (3.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04953906
14953906

prune76.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done000
Total85287

Merged error: 0b

Counts
87 → 2
Compiler

Compiled 1507 to 937 computations (37.8% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(/.f64 (*.f64 4 (-.f64 x z)) y)

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_10222 add-cbrt-cube_binary64_10220
add-sqr-sqrt_binary64_10208 associate-/r*_binary64_10133 add-cube-cbrt_binary64_10219 *-un-lft-identity_binary64_10187 times-frac_binary64_10193
associate-*r/_binary64_10131 cbrt-undiv_binary64_10218 associate-/l/_binary64_10136 div-exp_binary64_10235
frac-2neg_binary64_10198 flip--_binary64_10162 associate-/l*_binary64_10134 flip3--_binary64_10191 prod-exp_binary64_10233 pow1_binary64_10245 div-inv_binary64_10184 cbrt-unprod_binary64_10217 add-log-exp_binary64_10223 clear-num_binary64_10186
Counts
1 → 23
Calls

1 calls:

7.0ms
(/.f64 (*.f64 4 (-.f64 x z)) y)

series71.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

71.0ms
(/.f64 (*.f64 4 (-.f64 x z)) y)

simplify58.0ms (2.8%)

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05180312

prune18.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done011
Total26228

Merged error: 0b

Counts
28 → 2
Compiler

Compiled 333 to 194 computations (41.7% saved)

regimes66.0ms (3.1%)

Compiler

Compiled 334 to 332 computations (0.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
11619

end0.0ms (0%)

sample657.0ms (31.3%)

Algorithm
intervals
Results
297.0ms8000×body128valid
36.0ms934×body128invalid
Compiler

Compiled 83 to 82 computations (1.2% saved)

Profiling

Loading profile data...