Details

Time bar (total: 2.5s)

analyze39.0ms (1.6%)

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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.4%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify91.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
167

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (+.f64 y x))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_7921
12×times-frac_binary64_7927
10×add-cube-cbrt_binary64_7956 add-sqr-sqrt_binary64_7943
distribute-lft-out_binary64_7872 associate-/r*_binary64_7865
add-cbrt-cube_binary64_7957 associate-/l*_binary64_7866 add-exp-log_binary64_7959
associate-/r/_binary64_7867
add-log-exp_binary64_7960 clear-num_binary64_7920 frac-2neg_binary64_7932 div-exp_binary64_7972 pow1_binary64_7982 cbrt-undiv_binary64_7955 flip3-+_binary64_7924 flip-+_binary64_7895 div-inv_binary64_7918
Counts
1 → 33
Calls

1 calls:

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

series28.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(/.f64 x (+.f64 y x))

simplify69.0ms (2.8%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05261431

prune23.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4
Compiler

Compiled 415 to 119 computations (71.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite23.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_7921
27×add-sqr-sqrt_binary64_7943
26×times-frac_binary64_7927
20×add-cube-cbrt_binary64_7956
18×associate-*r*_binary64_7861
15×add-exp-log_binary64_7959
add-cbrt-cube_binary64_7957
distribute-lft-out_binary64_7872
pow1_binary64_7982
prod-exp_binary64_7970 associate-/r/_binary64_7867 div-exp_binary64_7972 associate-/r*_binary64_7865
unswap-sqr_binary64_7889 associate-*l*_binary64_7862 associate-/l*_binary64_7866
add-log-exp_binary64_7960 rec-exp_binary64_7971 cbrt-unprod_binary64_7954 1-exp_binary64_7965 cbrt-undiv_binary64_7955 flip3-+_binary64_7924 flip-+_binary64_7895 div-inv_binary64_7918
inv-pow_binary64_8006 un-div-inv_binary64_7919 clear-num_binary64_7920 frac-2neg_binary64_7932 associate-*r/_binary64_7863 pow-flip_binary64_7995 *-commutative_binary64_7852 pow-prod-down_binary64_7992
Counts
2 → 78
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
8.0ms
(/.f64 1 (+.f64 x y))

series45.0ms (1.8%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
19.0ms
(/.f64 1 (+.f64 x y))

simplify73.0ms (2.9%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05590843

prune48.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0.0b

Counts
88 → 4
Compiler

Compiled 965 to 398 computations (58.8% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
6.0b
(cbrt.f64 (/.f64 x (+.f64 x y)))
6.0b
(cbrt.f64 (/.f64 x (+.f64 x y)))
6.0b
(cbrt.f64 (/.f64 x (+.f64 x y)))

rewrite60.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod_binary64_7952
128×*-un-lft-identity_binary64_7921
102×times-frac_binary64_7927
92×add-sqr-sqrt_binary64_7943
68×add-cube-cbrt_binary64_7956
27×distribute-lft-out_binary64_7872 swap-sqr_binary64_7888
21×associate-*r*_binary64_7861 associate-*l*_binary64_7862
14×associate-/r/_binary64_7867
11×pow1_binary64_7982
unswap-sqr_binary64_7889 pow1/3_binary64_8003
cbrt-div_binary64_7953 flip3-+_binary64_7924 flip-+_binary64_7895 div-inv_binary64_7918
add-exp-log_binary64_7959
add-log-exp_binary64_7960 add-cbrt-cube_binary64_7957
pow-prod-up_binary64_7991 pow-sqr_binary64_7894 pow-prod-down_binary64_7992
frac-times_binary64_7931 pow2_binary64_8002 prod-exp_binary64_7970 associate-*r/_binary64_7863 associate-*l/_binary64_7864 cbrt-unprod_binary64_7954 pow-plus_binary64_7984 *-commutative_binary64_7852
Counts
4 → 180
Calls

4 calls:

23.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
4.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

series449.0ms (17.9%)

Counts
4 → 12
Calls

4 calls:

134.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
106.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
104.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
104.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

simplify128.0ms (5.1%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049173916
149173916

prune160.0ms (6.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1911192
Fresh011
Picked011
Done022
Total1915196

Merged error: 0b

Counts
196 → 5
Compiler

Compiled 5183 to 892 computations (82.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b
(cbrt.f64 (+.f64 x y))
0.6b
(cbrt.f64 (+.f64 x y))
0.6b
(cbrt.f64 (+.f64 x y))

rewrite29.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod_binary64_7952
35×*-un-lft-identity_binary64_7921
23×add-sqr-sqrt_binary64_7943
18×cbrt-div_binary64_7953
15×add-cube-cbrt_binary64_7956
11×pow1_binary64_7982
distribute-lft-out_binary64_7872 pow1/3_binary64_8003 flip3-+_binary64_7924 flip-+_binary64_7895 swap-sqr_binary64_7888
associate-*r*_binary64_7861 associate-*l*_binary64_7862
add-exp-log_binary64_7959
add-log-exp_binary64_7960 frac-times_binary64_7931 add-cbrt-cube_binary64_7957 unswap-sqr_binary64_7889
associate-*r/_binary64_7863 associate-*l/_binary64_7864 pow-prod-up_binary64_7991 pow-sqr_binary64_7894 pow-prod-down_binary64_7992
pow2_binary64_8002 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 pow-plus_binary64_7984 *-commutative_binary64_7852
Counts
4 → 95
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms
(cbrt.f64 (+.f64 x y))
3.0ms
(cbrt.f64 (+.f64 x y))
3.0ms
(cbrt.f64 (+.f64 x y))

series526.0ms (20.9%)

Counts
4 → 12
Calls

4 calls:

149.0ms
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
137.0ms
(cbrt.f64 (+.f64 x y))
119.0ms
(cbrt.f64 (+.f64 x y))
119.0ms
(cbrt.f64 (+.f64 x y))

simplify64.0ms (2.5%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
055151508

prune90.0ms (3.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1061107
Fresh101
Picked011
Done033
Total1075112

Merged error: 0b

Counts
112 → 5
Compiler

Compiled 2482 to 769 computations (69% saved)

regimes59.0ms (2.3%)

Compiler

Compiled 548 to 286 computations (47.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample458.0ms (18.2%)

Algorithm
intervals
Results
157.0ms8000×body128valid
Compiler

Compiled 189 to 101 computations (46.6% saved)

Profiling

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