Details

Time bar (total: 2.4s)

analyze138.0ms (5.8%)

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 (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify171.0ms (7.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0100310
1100310

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
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))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
25×times-frac_binary64_16793
13×add-cube-cbrt_binary64_16822
12×difference-of-squares_binary64_16756 distribute-lft-out--_binary64_16739
associate-/l*_binary64_16732 associate-/r*_binary64_16731
add-exp-log_binary64_16825 add-cbrt-cube_binary64_16823
flip3--_binary64_16791 associate-/l/_binary64_16734 associate-/r/_binary64_16733 flip--_binary64_16762
div-sub_binary64_16792 cbrt-undiv_binary64_16821 add-log-exp_binary64_16826 pow1_binary64_16848 div-exp_binary64_16838 clear-num_binary64_16786 frac-2neg_binary64_16798 div-inv_binary64_16784
Counts
1 → 52
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

series43.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

43.0ms
(/.f64 (-.f64 x y) (-.f64 z y))

simplify90.0ms (3.8%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04865989
14865989

prune40.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New52355
Fresh000
Picked101
Done000
Total53356
Error
0b
Counts
56 → 3
Compiler

Compiled 839 to 187 computations (77.7% saved)

localize6.0ms (0.3%)

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))

rewrite54.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity_binary64_16787
72×add-sqr-sqrt_binary64_16809
63×times-frac_binary64_16793
34×add-cube-cbrt_binary64_16822
23×distribute-lft-out--_binary64_16739
21×cancel-sign-sub-inv_binary64_16753
17×difference-of-squares_binary64_16756
10×associate-/r*_binary64_16731 associate-/r/_binary64_16733
add-exp-log_binary64_16825 add-cbrt-cube_binary64_16823
associate-/l*_binary64_16732 flip3--_binary64_16791 flip--_binary64_16762
add-log-exp_binary64_16826 div-inv_binary64_16784
pow1_binary64_16848 distribute-rgt-out--_binary64_16741
cbrt-undiv_binary64_16821 div-exp_binary64_16838 clear-num_binary64_16786 frac-2neg_binary64_16798
diff-log_binary64_16879 sub-neg_binary64_16780 frac-sub_binary64_16796 sub-div_binary64_16794
Counts
3 → 123
Calls

3 calls:

33.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms
(/.f64 x (-.f64 z y))
5.0ms
(/.f64 y (-.f64 z y))

series126.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

69.0ms
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
30.0ms
(/.f64 x (-.f64 z y))
27.0ms
(/.f64 y (-.f64 z y))

simplify66.0ms (2.8%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049882004
149882004

prune79.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done000
Total1323135
Error
0b
Counts
135 → 3
Compiler

Compiled 2267 to 407 computations (82% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64_16809
39×*-un-lft-identity_binary64_16787
32×times-frac_binary64_16793
22×add-cube-cbrt_binary64_16822
21×associate-*r*_binary64_16727
15×add-exp-log_binary64_16825
add-cbrt-cube_binary64_16823
difference-of-squares_binary64_16756 distribute-lft-out--_binary64_16739
pow1_binary64_16848 associate-*l*_binary64_16728 associate-/r*_binary64_16731
prod-exp_binary64_16836 div-exp_binary64_16838 flip3--_binary64_16791 associate-/r/_binary64_16733 flip--_binary64_16762
associate-/l*_binary64_16732 unswap-sqr_binary64_16755
cbrt-undiv_binary64_16821 add-log-exp_binary64_16826 cbrt-unprod_binary64_16820 rec-exp_binary64_16837 1-exp_binary64_16831 frac-times_binary64_16797 associate-*l/_binary64_16730 div-inv_binary64_16784
un-div-inv_binary64_16785 clear-num_binary64_16786 *-commutative_binary64_16718 associate-*r/_binary64_16729 pow-flip_binary64_16861 inv-pow_binary64_16872 frac-2neg_binary64_16798 pow-prod-down_binary64_16858
Counts
2 → 91
Calls

2 calls:

15.0ms
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
5.0ms
(/.f64 1 (-.f64 z y))

series66.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

44.0ms
(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
21.0ms
(/.f64 1 (-.f64 z y))

simplify59.0ms (2.5%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049911213
149911213

prune61.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done011
Total973100
Error
0b
Counts
100 → 3
Compiler

Compiled 1371 to 479 computations (65.1% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 x y))
0.6b
(cbrt.f64 (-.f64 z y))
0.6b
(cbrt.f64 (-.f64 z y))
0.6b
(cbrt.f64 (-.f64 z y))

rewrite19.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod_binary64_16818
16×add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
add-cube-cbrt_binary64_16822 cbrt-div_binary64_16819
add-log-exp_binary64_16826 pow1_binary64_16848 difference-of-squares_binary64_16756 flip3--_binary64_16791 distribute-lft-out--_binary64_16739 add-exp-log_binary64_16825 pow1/3_binary64_16869 flip--_binary64_16762 add-cbrt-cube_binary64_16823
Counts
4 → 60
Calls

4 calls:

4.0ms
(cbrt.f64 (-.f64 z y))
3.0ms
(cbrt.f64 (-.f64 z y))
3.0ms
(cbrt.f64 (-.f64 z y))
3.0ms
(cbrt.f64 (-.f64 x y))

series448.0ms (18.9%)

Counts
4 → 12
Calls

4 calls:

123.0ms
(cbrt.f64 (-.f64 z y))
113.0ms
(cbrt.f64 (-.f64 z y))
107.0ms
(cbrt.f64 (-.f64 x y))
104.0ms
(cbrt.f64 (-.f64 z y))

simplify83.0ms (3.5%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04980928
14980928

prune70.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done022
Total72375
Error
0b
Counts
75 → 3
Compiler

Compiled 2508 to 402 computations (84% saved)

regimes95.0ms (4%)

Accuracy

Total 0.0b remaining (88.4%)

Threshold costs 0.0b (88.4%)

Compiler

Compiled 687 to 466 computations (32.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
12716

end0.0ms (0%)

sample571.0ms (24.1%)

Algorithm
intervals
Results
204.0ms8000×body128valid
6.0ms264×body128invalid
Compiler

Compiled 182 to 122 computations (33% saved)

Profiling

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