Details

Time bar (total: 2.3s)

analyze109.0ms (4.7%)

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%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify244.0ms (10.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (151.0ms)

IterNodesCost
0524810

prune5.0ms (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 23 to 21 computations (8.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_12013
add-log-exp_binary64_12052
distribute-lft-out_binary64_11964 times-frac_binary64_12019
add-cbrt-cube_binary64_12049 +-commutative_binary64_11943 sum-log_binary64_12104 frac-add_binary64_12021 flip3-+_binary64_12016 add-sqr-sqrt_binary64_12035 add-cube-cbrt_binary64_12048 add-exp-log_binary64_12051 flip-+_binary64_11987 pow1_binary64_12074
Counts
1 → 14
Calls

1 calls:

17.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series76.0ms (3.2%)

Counts
1 → 10
Calls

1 calls:

75.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
Compiler

Compiled 117 to 123 computations (-5.1% saved)

simplify102.0ms (4.4%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04852273
14852273

prune19.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh011
Picked011
Done000
Total24226

Merged error: 0.0b

Counts
26 → 2
Compiler

Compiled 237 to 177 computations (25.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.8b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
add-sqr-sqrt_binary64_12035 *-un-lft-identity_binary64_12013
times-frac_binary64_12019 associate-/l*_binary64_11958
add-cube-cbrt_binary64_12048 div-exp_binary64_12064 cbrt-undiv_binary64_12047 cbrt-unprod_binary64_12046 prod-exp_binary64_12062
difference-of-squares_binary64_11982 distribute-lft-out--_binary64_11965 associate-/l/_binary64_11960
div-sub_binary64_12018 add-log-exp_binary64_12052 associate-/r*_binary64_11957 clear-num_binary64_12012 flip3--_binary64_12017 div-inv_binary64_12010 pow1_binary64_12074 flip--_binary64_11988 frac-2neg_binary64_12024
Counts
1 → 30
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

series88.0ms (3.8%)

Counts
1 → 10
Calls

1 calls:

88.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))
Compiler

Compiled 117 to 123 computations (-5.1% saved)

simplify50.0ms (2.2%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05404494

prune26.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh000
Picked101
Done011
Total40242

Merged error: 0.0b

Counts
42 → 2
Compiler

Compiled 437 to 252 computations (42.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
0.0b
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y)))
8.0b
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite56.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
272×times-frac_binary64_12019
140×add-sqr-sqrt_binary64_12035 *-un-lft-identity_binary64_12013
96×add-cube-cbrt_binary64_12048
61×add-exp-log_binary64_12051
46×associate-/r*_binary64_11957
35×add-cbrt-cube_binary64_12049 div-exp_binary64_12064
22×difference-of-squares_binary64_11982 distribute-lft-out--_binary64_11965
18×cbrt-undiv_binary64_12047
13×div-inv_binary64_12010
associate-/l*_binary64_11958
prod-exp_binary64_12062
associate-/r/_binary64_11959
rec-exp_binary64_12063 1-exp_binary64_12057
pow1_binary64_12074 cbrt-unprod_binary64_12046
add-log-exp_binary64_12052 clear-num_binary64_12012 frac-2neg_binary64_12024
associate-/l/_binary64_11960
div-sub_binary64_12018 pow-flip_binary64_12087 flip3--_binary64_12017 inv-pow_binary64_12098 flip--_binary64_11988
Counts
3 → 228
Calls

3 calls:

13.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y)))
9.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
6.0ms
(/.f64 (-.f64 x y) y)

series238.0ms (10.2%)

Counts
3 → 33
Calls

3 calls:

104.0ms
(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y)))
72.0ms
(/.f64 (-.f64 x y) y)
61.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
Compiler

Compiled 537 to 515 computations (4.1% saved)

simplify99.0ms (4.2%)

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050614844

prune196.0ms (8.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2601261
Fresh000
Picked011
Done011
Total2603263

Merged error: 0b

Counts
263 → 3
Compiler

Compiled 4313 to 1735 computations (59.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y))))
8.0b
(/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y)))

rewrite41.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
94×times-frac_binary64_12019
75×add-sqr-sqrt_binary64_12035
51×*-un-lft-identity_binary64_12013
28×add-exp-log_binary64_12051
27×add-cube-cbrt_binary64_12048
24×difference-of-squares_binary64_11982
22×associate-/r*_binary64_11957
16×add-cbrt-cube_binary64_12049
14×div-exp_binary64_12064
11×associate-/r/_binary64_11959
cbrt-undiv_binary64_12047
div-inv_binary64_12010 distribute-lft-out--_binary64_11965
flip3--_binary64_12017 flip--_binary64_11988
associate-/l*_binary64_11958 prod-exp_binary64_12062
rec-exp_binary64_12063 pow1_binary64_12074 1-exp_binary64_12057
add-log-exp_binary64_12052 clear-num_binary64_12012 frac-2neg_binary64_12024 cbrt-unprod_binary64_12046
pow-flip_binary64_12087 inv-pow_binary64_12098
Counts
2 → 117
Calls

2 calls:

13.0ms
(/.f64 1 (/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y))))
10.0ms
(/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y)))

series149.0ms (6.4%)

Counts
2 → 22
Calls

2 calls:

89.0ms
(/.f64 1 (/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y))))
59.0ms
(/.f64 (*.f64 x -2) (-.f64 1 (/.f64 x y)))
Compiler

Compiled 353 to 342 computations (3.1% saved)

simplify75.0ms (3.2%)

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
058662637

prune117.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh000
Picked011
Done022
Total1393142

Merged error: 0b

Counts
142 → 3
Compiler

Compiled 2250 to 1387 computations (38.4% saved)

regimes50.0ms (2.2%)

Compiler

Compiled 310 to 247 computations (20.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample524.0ms (22.5%)

Algorithm
intervals
Results
231.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 120 to 99 computations (17.5% saved)

Profiling

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