Details

Time bar (total: 3.0s)

analyze340.0ms (11.1%)

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
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms34×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify53.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
071815
171815

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 54 to 47 computations (13% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
1.5b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 flip--_binary64
sub-neg_binary64 cbrt-undiv_binary64 cancel-sign-sub-inv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 associate--l+_binary64 sum-log_binary64
Counts
2 → 44
Calls

2 calls:

8.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
6.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

series116.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

86.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
30.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

simplify57.0ms (1.9%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05077938

prune197.0ms (6.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New43750
Fresh011
Picked011
Done000
Total43952

Merged error: 0.0b

Counts
52 → 9
Compiler

Compiled 3661 to 2555 computations (30.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))
0.0b
(/.f64 (+.f64 x 4) y)
4.5b
(/.f64 (*.f64 x z) y)

rewrite31.0ms (1%)

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
19×times-frac_binary64
16×add-cube-cbrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
cancel-sign-sub-inv_binary64
associate-/r*_binary64
add-log-exp_binary64 associate-/l*_binary64 div-inv_binary64
distribute-lft-out_binary64
pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-rgt-out--_binary64 prod-exp_binary64 distribute-lft-out--_binary64 sub-div_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64
Counts
3 → 78
Calls

3 calls:

15.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))
6.0ms
(/.f64 (+.f64 x 4) y)
5.0ms
(/.f64 (*.f64 x z) y)

series147.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

69.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))
41.0ms
(/.f64 (*.f64 x z) y)
37.0ms
(/.f64 (+.f64 x 4) y)

simplify69.0ms (2.3%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051951216

prune109.0ms (3.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New84387
Fresh347
Picked011
Done011
Total87996

Merged error: 0.0b

Counts
96 → 9
Compiler

Compiled 2135 to 1197 computations (43.9% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
0.2b
(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
1.5b
(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))

rewrite41.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
55×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-/r*_binary64
13×add-exp-log_binary64
11×associate-/r/_binary64
10×add-cbrt-cube_binary64
add-log-exp_binary64
flip3--_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
div-exp_binary64
pow1_binary64 cbrt-undiv_binary64
diff-log_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
sub-neg_binary64 cancel-sign-sub-inv_binary64 inv-pow_binary64 pow-flip_binary64 associate--l+_binary64 sum-log_binary64
Counts
3 → 125
Calls

3 calls:

13.0ms
(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
8.0ms
(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))
7.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

series254.0ms (8.3%)

Counts
3 → 9
Calls

3 calls:

147.0ms
(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))
77.0ms
(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
29.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))

simplify88.0ms (2.9%)

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
053383280

prune143.0ms (4.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh066
Picked011
Done022
Total1349143

Merged error: 0.0b

Counts
143 → 9
Compiler

Compiled 3024 to 1762 computations (41.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
0.0b
(/.f64 (+.f64 x 4) y)
5.2b
(/.f64 x (/.f64 y z))

rewrite76.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
166×times-frac_binary64
110×add-sqr-sqrt_binary64
108×*-un-lft-identity_binary64
89×add-cube-cbrt_binary64
44×cancel-sign-sub-inv_binary64
16×associate-/r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
associate-/l*_binary64
difference-of-squares_binary64
add-log-exp_binary64 distribute-lft-out_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64 distribute-lft-out--_binary64
associate-/l/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64
Counts
3 → 168
Calls

3 calls:

45.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
6.0ms
(/.f64 x (/.f64 y z))
6.0ms
(/.f64 (+.f64 x 4) y)

series144.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

64.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
44.0ms
(/.f64 x (/.f64 y z))
35.0ms
(/.f64 (+.f64 x 4) y)

simplify78.0ms (2.5%)

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049723080
149723080

prune167.0ms (5.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1761177
Fresh145
Picked011
Done033
Total1779186

Merged error: 0.0b

Counts
186 → 9
Compiler

Compiled 3738 to 1643 computations (56% saved)

regimes66.0ms (2.2%)

Compiler

Compiled 492 to 381 computations (22.6% saved)

bsearch25.0ms (0.8%)

Steps
ItersRangePoint
10
-1.528184436105711e+120
-1.3351367471767598e+108
-1.7809107074403646e+111
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06739
16739

end0.0ms (0%)

sample770.0ms (25.3%)

Algorithm
intervals
Results
319.0ms8000×body128valid
47.0ms1160×body128invalid
Compiler

Compiled 201 to 154 computations (23.4% saved)

Profiling

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