Details

Time bar (total: 2.8s)

analyze150.0ms (5.3%)

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
0%99.9%0.1%5
18.7%81.1%0.1%6
40.6%59.3%0.1%7
45.2%54.6%0.1%8
65.5%34.3%0.1%9
78%21.8%0.1%10
80%19.5%0.5%11
81.7%17.7%0.5%12
87.9%11.3%0.8%13
88.3%10.1%1.6%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify166.0ms (5.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0100310
1100310

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 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 z y))

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64_19174 add-sqr-sqrt_binary64_19196
25×times-frac_binary64_19180
13×add-cube-cbrt_binary64_19209
12×difference-of-squares_binary64_19143 distribute-lft-out--_binary64_19126
associate-/l*_binary64_19119 associate-/r*_binary64_19118
add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212
associate-/l/_binary64_19121 flip--_binary64_19149 flip3--_binary64_19178 associate-/r/_binary64_19120
frac-2neg_binary64_19185 div-inv_binary64_19171 add-log-exp_binary64_19213 pow1_binary64_19235 div-exp_binary64_19225 clear-num_binary64_19173 div-sub_binary64_19179 cbrt-undiv_binary64_19208
Counts
1 → 52
Calls

1 calls:

13.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

series158.0ms (5.6%)

Counts
1 → 22
Calls

1 calls:

157.0ms
(/.f64 (-.f64 x y) (-.f64 z y))
Compiler

Compiled 523 to 404 computations (22.8% saved)

simplify56.0ms (2%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051251421

prune55.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh000
Picked101
Done000
Total72375

Merged error: 0.0b

Counts
75 → 3
Compiler

Compiled 1117 to 281 computations (74.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (-.f64 z y))
0.0b
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b
(/.f64 y (-.f64 z y))

rewrite58.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity_binary64_19174
72×add-sqr-sqrt_binary64_19196
63×times-frac_binary64_19180
34×add-cube-cbrt_binary64_19209
23×distribute-lft-out--_binary64_19126
21×cancel-sign-sub-inv_binary64_19140
17×difference-of-squares_binary64_19143
10×associate-/r/_binary64_19120 associate-/r*_binary64_19118
add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212
associate-/l*_binary64_19119 flip--_binary64_19149 flip3--_binary64_19178
div-inv_binary64_19171 add-log-exp_binary64_19213
distribute-rgt-out--_binary64_19128 pow1_binary64_19235
frac-2neg_binary64_19185 div-exp_binary64_19225 clear-num_binary64_19173 cbrt-undiv_binary64_19208
diff-log_binary64_19266 frac-sub_binary64_19183 sub-neg_binary64_19167 sub-div_binary64_19181
Counts
3 → 123
Calls

3 calls:

35.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms
(/.f64 y (-.f64 z y))
5.0ms
(/.f64 x (-.f64 z y))

series355.0ms (12.7%)

Counts
3 → 54
Calls

3 calls:

199.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
102.0ms
(/.f64 x (-.f64 z y))
54.0ms
(/.f64 y (-.f64 z y))
Compiler

Compiled 1299 to 983 computations (24.3% saved)

simplify76.0ms (2.7%)

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050672762

prune111.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1770177
Fresh022
Picked011
Done000
Total1773180

Merged error: 0.0b

Counts
180 → 3
Compiler

Compiled 2928 to 600 computations (79.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64_19196
21×associate-*r*_binary64_19114
20×*-un-lft-identity_binary64_19174
17×times-frac_binary64_19180
11×add-cube-cbrt_binary64_19209
10×add-exp-log_binary64_19212
add-cbrt-cube_binary64_19210
associate-*l*_binary64_19115
prod-exp_binary64_19223 difference-of-squares_binary64_19143 distribute-lft-out--_binary64_19126
flip--_binary64_19149 flip3--_binary64_19178 pow1_binary64_19235 unswap-sqr_binary64_19142
cbrt-unprod_binary64_19207 associate-/r/_binary64_19120 frac-times_binary64_19184 associate-*l/_binary64_19117 div-exp_binary64_19225
div-inv_binary64_19171 associate-*r/_binary64_19116 *-commutative_binary64_19105 add-log-exp_binary64_19213 pow-prod-down_binary64_19245 un-div-inv_binary64_19172 rec-exp_binary64_19224 1-exp_binary64_19218 cbrt-undiv_binary64_19208
Counts
1 → 50
Calls

1 calls:

15.0ms
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))

series144.0ms (5.1%)

Counts
1 → 22
Calls

1 calls:

144.0ms
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
Compiler

Compiled 523 to 404 computations (22.8% saved)

simplify70.0ms (2.5%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049801148
149801148

prune46.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done011
Total72375

Merged error: 0.0b

Counts
75 → 3
Compiler

Compiled 1039 to 347 computations (66.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite58.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt_binary64_19196
102×*-un-lft-identity_binary64_19174
84×times-frac_binary64_19180
65×sqrt-prod_binary64_19190
46×associate-*r*_binary64_19114
44×add-cube-cbrt_binary64_19209
29×difference-of-squares_binary64_19143 distribute-lft-out--_binary64_19126
add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212
associate-/l*_binary64_19119 associate-*l*_binary64_19115
sqrt-div_binary64_19191 unswap-sqr_binary64_19142
flip--_binary64_19149 flip3--_binary64_19178 associate-/r*_binary64_19118
associate-/r/_binary64_19120 pow1_binary64_19235
prod-exp_binary64_19223 associate-/l/_binary64_19121 div-inv_binary64_19171 add-log-exp_binary64_19213 cbrt-unprod_binary64_19207 frac-times_binary64_19184 associate-*l/_binary64_19117 div-exp_binary64_19225 cbrt-undiv_binary64_19208
frac-2neg_binary64_19185 associate-*r/_binary64_19116 *-commutative_binary64_19105 pow-prod-down_binary64_19245 clear-num_binary64_19173
Counts
2 → 147
Calls

2 calls:

30.0ms
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))
9.0ms
(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))

series279.0ms (10%)

Counts
2 → 37
Calls

2 calls:

147.0ms
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y)))
132.0ms
(/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 z y))
Compiler

Compiled 1202 to 875 computations (27.2% saved)

simplify86.0ms (3.1%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049934044
149934044

prune124.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done022
Total1843187

Merged error: 0.0b

Counts
187 → 3
Compiler

Compiled 3819 to 670 computations (82.5% saved)

regimes116.0ms (4.1%)

Compiler

Compiled 755 to 540 computations (28.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
12716

end0.0ms (0%)

sample614.0ms (21.9%)

Algorithm
intervals
Results
209.0ms8000×body128valid
6.0ms234×body128invalid
Compiler

Compiled 206 to 144 computations (30.1% saved)

Profiling

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