Details

Time bar (total: 2.2s)

analyze135.0ms (6.2%)

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)

sample13.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify225.0ms (10.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
096410
196410

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))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64_18612 add-sqr-sqrt_binary64_18633
25×times-frac_binary64_18618
13×add-cube-cbrt_binary64_18644
12×difference-of-squares_binary64_18581 distribute-lft-out--_binary64_18566
associate-/l*_binary64_18559 associate-/r*_binary64_18558
add-cbrt-cube_binary64_18645 add-exp-log_binary64_18647
associate-/r/_binary64_18560 flip3--_binary64_18616 flip--_binary64_18587 associate-/l/_binary64_18561
clear-num_binary64_18611 frac-2neg_binary64_18623 add-log-exp_binary64_18648 div-sub_binary64_18617 div-exp_binary64_18660 pow1_binary64_18670 div-inv_binary64_18609 cbrt-undiv_binary64_18643
Counts
1 → 52
Calls

1 calls:

10.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

series102.0ms (4.7%)

Counts
1 → 3
Calls

1 calls:

102.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

simplify66.0ms (3%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05085989

prune42.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New53255
Fresh000
Picked101
Done000
Total54256

Merged error: 0b

Counts
56 → 2
Compiler

Compiled 810 to 175 computations (78.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite55.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64_18612
57×add-sqr-sqrt_binary64_18633
48×times-frac_binary64_18618
25×add-cube-cbrt_binary64_18644
20×distribute-lft-out--_binary64_18566
14×difference-of-squares_binary64_18581
10×associate-/r*_binary64_18558
associate-/r/_binary64_18560
add-cbrt-cube_binary64_18645 add-exp-log_binary64_18647
associate-/l*_binary64_18559
flip3--_binary64_18616 add-log-exp_binary64_18648 flip--_binary64_18587
div-inv_binary64_18609
distribute-rgt-out--_binary64_18568 pow1_binary64_18670
clear-num_binary64_18611 frac-2neg_binary64_18623 div-exp_binary64_18660 cbrt-undiv_binary64_18643
frac-sub_binary64_18621 sub-neg_binary64_18605 sub-div_binary64_18619 diff-log_binary64_18701
Counts
3 → 102
Calls

3 calls:

33.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms
(/.f64 x (-.f64 z y))
6.0ms
(/.f64 y (-.f64 z y))

series268.0ms (12.4%)

Counts
3 → 9
Calls

3 calls:

142.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
69.0ms
(/.f64 x (-.f64 z y))
57.0ms
(/.f64 y (-.f64 z y))

simplify66.0ms (3%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
048811734
148811734

prune72.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done000
Total1112113

Merged error: 0b

Counts
113 → 2
Compiler

Compiled 1936 to 380 computations (80.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 z y) (-.f64 x y))
0.4b
(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite49.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64_18618
194×*-un-lft-identity_binary64_18612 add-sqr-sqrt_binary64_18633
90×add-cube-cbrt_binary64_18644
52×difference-of-squares_binary64_18581 distribute-lft-out--_binary64_18566
36×associate-/r*_binary64_18558
15×add-exp-log_binary64_18647
11×associate-/r/_binary64_18560
add-cbrt-cube_binary64_18645
div-exp_binary64_18660 associate-/l*_binary64_18559
flip3--_binary64_18616 flip--_binary64_18587 div-inv_binary64_18609
cbrt-undiv_binary64_18643
pow1_binary64_18670
clear-num_binary64_18611 frac-2neg_binary64_18623 add-log-exp_binary64_18648 1-exp_binary64_18653 associate-/l/_binary64_18561 rec-exp_binary64_18659
inv-pow_binary64_18694 div-sub_binary64_18617 pow-flip_binary64_18683
Counts
2 → 200
Calls

2 calls:

15.0ms
(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
9.0ms
(/.f64 (-.f64 z y) (-.f64 x y))

series307.0ms (14.2%)

Counts
2 → 6
Calls

2 calls:

213.0ms
(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
93.0ms
(/.f64 (-.f64 z y) (-.f64 x y))

simplify101.0ms (4.7%)

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
055944487

prune140.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2060206
Fresh000
Picked011
Done011
Total2062208

Merged error: 0b

Counts
208 → 2
Compiler

Compiled 3618 to 843 computations (76.7% saved)

regimes25.0ms (1.1%)

Compiler

Compiled 66 to 63 computations (4.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
12716

end0.0ms (0%)

sample456.0ms (21.2%)

Algorithm
intervals
Results
204.0ms8000×body128valid
6.0ms228×body128invalid
Compiler

Compiled 50 to 39 computations (22% saved)

Profiling

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