Details

Time bar (total: 3.8s)

analyze135.0ms (3.5%)

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)

sample18.0ms (0.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify234.0ms (6.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
096410
196410

prune2.0ms (0%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_17989 *-un-lft-identity_binary64_17967
25×times-frac_binary64_17973
13×add-cube-cbrt_binary64_18002
12×difference-of-squares_binary64_17936 distribute-lft-out--_binary64_17919
associate-/l*_binary64_17912 associate-/r*_binary64_17911
add-exp-log_binary64_18005 add-cbrt-cube_binary64_18003
associate-/l/_binary64_17914 flip3--_binary64_17971 associate-/r/_binary64_17913 flip--_binary64_17942
div-exp_binary64_18018 pow1_binary64_18028 cbrt-undiv_binary64_18001 frac-2neg_binary64_17978 div-inv_binary64_17964 clear-num_binary64_17966 add-log-exp_binary64_18006 div-sub_binary64_17972
Counts
1 → 52
Calls

1 calls:

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

series101.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

101.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

simplify66.0ms (1.7%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04905989
14905989

prune64.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4
Compiler

Compiled 1269 to 444 computations (65% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite61.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity_binary64_17967
72×add-sqr-sqrt_binary64_17989
63×times-frac_binary64_17973
34×add-cube-cbrt_binary64_18002
23×distribute-lft-out--_binary64_17919
21×cancel-sign-sub-inv_binary64_17933
17×difference-of-squares_binary64_17936
10×associate-/r/_binary64_17913 associate-/r*_binary64_17911
add-exp-log_binary64_18005 add-cbrt-cube_binary64_18003
flip3--_binary64_17971 flip--_binary64_17942 associate-/l*_binary64_17912
div-inv_binary64_17964 add-log-exp_binary64_18006
pow1_binary64_18028 distribute-rgt-out--_binary64_17921
div-exp_binary64_18018 cbrt-undiv_binary64_18001 frac-2neg_binary64_17978 clear-num_binary64_17966
sub-neg_binary64_17960 sub-div_binary64_17974 frac-sub_binary64_17976 diff-log_binary64_18059
Counts
3 → 123
Calls

3 calls:

37.0ms
(-.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))

series283.0ms (7.4%)

Counts
3 → 9
Calls

3 calls:

159.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
66.0ms
(/.f64 x (-.f64 z y))
58.0ms
(/.f64 y (-.f64 z y))

simplify80.0ms (2.1%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
059781984

prune94.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done011
Total1324136

Merged error: 0b

Counts
136 → 4
Compiler

Compiled 2360 to 472 computations (80% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 z y) (-.f64 x y))
0.6b
(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite241.0ms (6.3%)

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64_17973
194×add-sqr-sqrt_binary64_17989 *-un-lft-identity_binary64_17967
90×add-cube-cbrt_binary64_18002
52×difference-of-squares_binary64_17936 distribute-lft-out--_binary64_17919
36×associate-/r*_binary64_17911
15×add-exp-log_binary64_18005
11×associate-/r/_binary64_17913
add-cbrt-cube_binary64_18003
div-exp_binary64_18018 associate-/l*_binary64_17912
flip3--_binary64_17971 flip--_binary64_17942 div-inv_binary64_17964
cbrt-undiv_binary64_18001
pow1_binary64_18028
associate-/l/_binary64_17914 1-exp_binary64_18011 frac-2neg_binary64_17978 rec-exp_binary64_18017 clear-num_binary64_17966 add-log-exp_binary64_18006
pow-flip_binary64_18041 div-sub_binary64_17972 inv-pow_binary64_18052
Counts
2 → 200
Calls

2 calls:

14.0ms
(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
9.0ms
(/.f64 (-.f64 z y) (-.f64 x y))

series315.0ms (8.2%)

Counts
2 → 6
Calls

2 calls:

225.0ms
(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
90.0ms
(/.f64 (-.f64 z y) (-.f64 x y))

simplify101.0ms (2.6%)

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
054594487

prune144.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2051206
Fresh101
Picked101
Done022
Total2073210

Merged error: 0b

Counts
210 → 3
Compiler

Compiled 3693 to 893 computations (75.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x y))
0.0b
(/.f64 1 (-.f64 z y))
0.3b
(/.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 x y)))

rewrite142.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
1131×times-frac_binary64_17973
699×add-sqr-sqrt_binary64_17989 *-un-lft-identity_binary64_17967
419×add-cube-cbrt_binary64_18002
140×difference-of-squares_binary64_17936 distribute-lft-out--_binary64_17919
93×associate-/r/_binary64_17913
51×add-exp-log_binary64_18005
47×div-inv_binary64_17964
46×flip3--_binary64_17971 flip--_binary64_17942
36×div-exp_binary64_18018
31×associate-/r*_binary64_17911
27×associate-/l*_binary64_17912
19×add-cbrt-cube_binary64_18003
10×cbrt-undiv_binary64_18001 1-exp_binary64_18011 rec-exp_binary64_18017
pow1_binary64_18028
frac-2neg_binary64_17978 clear-num_binary64_17966 add-log-exp_binary64_18006
pow-flip_binary64_18041 inv-pow_binary64_18052
associate-/l/_binary64_17914
Counts
3 → 597
Calls

3 calls:

28.0ms
(/.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 x y)))
6.0ms
(/.f64 1 (-.f64 x y))
6.0ms
(/.f64 1 (-.f64 z y))

series322.0ms (8.4%)

Counts
3 → 9
Calls

3 calls:

227.0ms
(/.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 x y)))
47.0ms
(/.f64 1 (-.f64 z y))
47.0ms
(/.f64 1 (-.f64 x y))

simplify207.0ms (5.4%)

Algorithm
egg-herbie
Counts
606 → 606
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0499517506
1499517506

prune650.0ms (16.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New6060606
Fresh000
Picked011
Done022
Total6063609

Merged error: 0b

Counts
609 → 3
Compiler

Compiled 12910 to 4812 computations (62.7% saved)

regimes43.0ms (1.1%)

Compiler

Compiled 136 to 122 computations (10.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample498.0ms (12.9%)

Algorithm
intervals
Results
220.0ms8000×body128valid
6.0ms224×body128invalid
Compiler

Compiled 55 to 46 computations (16.4% saved)

Profiling

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