Details

Time bar (total: 1.8s)

analyze80.0ms (4.4%)

Algorithm
1×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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify102.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.2b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

9.1b
(/.f64 x (*.f64 y y))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-exp-log_binary64_6936 add-cbrt-cube_binary64_6934
3×add-cube-cbrt_binary64_6933 add-sqr-sqrt_binary64_6920 times-frac_binary64_6904 associate-/l*_binary64_6843 *-un-lft-identity_binary64_6898
2×div-exp_binary64_6949 cbrt-undiv_binary64_6932
1×prod-exp_binary64_6947 pow1_binary64_6959 add-log-exp_binary64_6937 cbrt-unprod_binary64_6931 clear-num_binary64_6897 associate-/r*_binary64_6842 frac-2neg_binary64_6909 div-inv_binary64_6895
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y y))

series19.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(/.f64 x (*.f64 y y))

simplify74.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
06109223

prune27.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725
Error
0.0b
Counts
25 → 7
Compiler

Compiled 300 to 147 computations (51% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 (/.f64 x y) y)

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
75×times-frac_binary64_6904
43×add-cube-cbrt_binary64_6933 add-sqr-sqrt_binary64_6920 *-un-lft-identity_binary64_6898
13×associate-/l*_binary64_6843
6×add-exp-log_binary64_6936 add-cbrt-cube_binary64_6934
5×div-inv_binary64_6895
3×div-exp_binary64_6949 cbrt-undiv_binary64_6932 associate-/r*_binary64_6842
1×pow1_binary64_6959 add-log-exp_binary64_6937 clear-num_binary64_6897 frac-2neg_binary64_6909 associate-/l/_binary64_6845
Counts
1 → 70
Calls

1 calls:

6.0ms
(/.f64 (/.f64 x y) y)

series20.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

20.0ms
(/.f64 (/.f64 x y) y)

simplify91.0ms (5%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
047631069
147631069

prune56.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh145
Picked011
Done011
Total73780
Error
0.0b
Counts
80 → 7
Compiler

Compiled 1067 to 460 computations (56.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64_6920
25×times-frac_binary64_6904
23×add-exp-log_binary64_6936
17×*-un-lft-identity_binary64_6898
15×add-cube-cbrt_binary64_6933
13×associate-*r*_binary64_6838 add-cbrt-cube_binary64_6934 associate-*l*_binary64_6839
8×prod-exp_binary64_6947 div-exp_binary64_6949
6×unswap-sqr_binary64_6866
4×cbrt-undiv_binary64_6932 cbrt-unprod_binary64_6931
3×pow1_binary64_6959
2×1-exp_binary64_6942 rec-exp_binary64_6948 div-inv_binary64_6895
1×associate-*l/_binary64_6841 add-log-exp_binary64_6937 frac-times_binary64_6908 associate-*r/_binary64_6840 *-commutative_binary64_6829 pow-prod-down_binary64_6969
Counts
1 → 56
Calls

1 calls:

12.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

series17.0ms (1%)

Counts
1 → 3
Calls

1 calls:

17.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))

simplify103.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
05798614

prune39.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New58159
Fresh134
Picked011
Done022
Total59766
Error
0b
Counts
66 → 7
Compiler

Compiled 787 to 366 computations (53.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 y (/.f64 x y))
0.7b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite52.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_6904
229×add-cube-cbrt_binary64_6933 add-sqr-sqrt_binary64_6920 *-un-lft-identity_binary64_6898
57×associate-/r*_binary64_6842
28×add-exp-log_binary64_6936
22×div-inv_binary64_6895
18×div-exp_binary64_6949
16×add-cbrt-cube_binary64_6934
9×cbrt-undiv_binary64_6932
6×associate-/r/_binary64_6844 associate-/l*_binary64_6843
3×1-exp_binary64_6942 pow1_binary64_6959 rec-exp_binary64_6948
2×add-log-exp_binary64_6937 clear-num_binary64_6897 frac-2neg_binary64_6909
1×pow-flip_binary64_6972 inv-pow_binary64_6983
Counts
2 → 274
Calls

2 calls:

16.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))

series29.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

15.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
14.0ms
(/.f64 y (/.f64 x y))

simplify137.0ms (7.6%)

Algorithm
1×egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
050684994

prune218.0ms (12%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2800280
Fresh033
Picked011
Done033
Total2807287
Error
0b
Counts
287 → 7
Compiler

Compiled 4608 to 2016 computations (56.3% saved)

regimes120.0ms (6.7%)

Accuracy

Total 0.1b remaining (89.2%)

Threshold costs 0.1b (89.2%)

Compiler

Compiled 945 to 648 computations (31.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample551.0ms (30.5%)

Algorithm
1×intervals
Results
196.0ms8000×body128valid
9.0ms388×body128invalid
Compiler

Compiled 178 to 127 computations (28.7% saved)

Profiling

Loading profile data...