Details

Time bar (total: 1.4s)

analyze52.0ms (3.6%)

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
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.7%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify169.0ms (11.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0137
1137

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)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7864 *-un-lft-identity_binary64_7828
distribute-lft-out_binary64_7781 sum-log_binary64_7916
add-sqr-sqrt_binary64_7849 add-exp-log_binary64_7863 pow1_binary64_7886 add-cbrt-cube_binary64_7861 flip3-+_binary64_7831 flip-+_binary64_7802 associate-+l+_binary64_7763 +-commutative_binary64_7760 add-cube-cbrt_binary64_7860
Counts
1 → 15
Calls

1 calls:

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

series37.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(+.f64 (+.f64 x y) x)

simplify68.0ms (4.8%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04898169
14898169

prune12.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0.0b

Counts
19 → 4
Compiler

Compiled 180 to 55 computations (69.4% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 y (+.f64 x (+.f64 x y)))
0.0b
(+.f64 x (+.f64 x y))
21.8b
(/.f64 (*.f64 y (+.f64 x (+.f64 x y))) y)

rewrite31.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64_7828
10×add-exp-log_binary64_7863 add-cbrt-cube_binary64_7861
add-sqr-sqrt_binary64_7849
add-log-exp_binary64_7864
add-cube-cbrt_binary64_7860
distribute-lft-out_binary64_7781
pow1_binary64_7886 associate-*r*_binary64_7770
associate-*r/_binary64_7772
times-frac_binary64_7834 flip3-+_binary64_7831 flip-+_binary64_7802 associate-/r*_binary64_7774 associate-*l*_binary64_7771 sum-log_binary64_7916
cbrt-undiv_binary64_7859 div-exp_binary64_7876 cbrt-unprod_binary64_7858 prod-exp_binary64_7874 associate-/l/_binary64_7777
pow-prod-down_binary64_7896 div-inv_binary64_7825 clear-num_binary64_7827 distribute-rgt-in_binary64_7780 associate-/l*_binary64_7775 +-commutative_binary64_7760 distribute-lft-in_binary64_7779 *-commutative_binary64_7761 unswap-sqr_binary64_7796 frac-2neg_binary64_7839 associate-+r+_binary64_7762
Counts
3 → 62
Calls

3 calls:

10.0ms
(/.f64 (*.f64 y (+.f64 x (+.f64 x y))) y)
9.0ms
(*.f64 y (+.f64 x (+.f64 x y)))
6.0ms
(+.f64 x (+.f64 x y))

series129.0ms (9%)

Counts
3 → 9
Calls

3 calls:

54.0ms
(*.f64 y (+.f64 x (+.f64 x y)))
40.0ms
(/.f64 (*.f64 y (+.f64 x (+.f64 x y))) y)
35.0ms
(+.f64 x (+.f64 x y))

simplify79.0ms (5.5%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04885776
14885776

prune45.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New68371
Fresh202
Picked101
Done011
Total71475

Merged error: 0.0b

Counts
75 → 4
Compiler

Compiled 904 to 223 computations (75.3% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x (+.f64 y x)) y)
0.0b
(+.f64 x (+.f64 y x))
7.4b
(*.f64 y (/.f64 (+.f64 x (+.f64 y x)) y))

rewrite35.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity_binary64_7828
31×times-frac_binary64_7834
28×add-sqr-sqrt_binary64_7849
24×distribute-lft-out_binary64_7781
23×add-cube-cbrt_binary64_7860
19×associate-*r*_binary64_7770
10×add-exp-log_binary64_7863 add-cbrt-cube_binary64_7861
add-log-exp_binary64_7864
pow1_binary64_7886 associate-/l*_binary64_7775
associate-/r*_binary64_7774 associate-*l*_binary64_7771 sum-log_binary64_7916
div-inv_binary64_7825 flip3-+_binary64_7831 flip-+_binary64_7802 cbrt-undiv_binary64_7859 div-exp_binary64_7876 unswap-sqr_binary64_7796 cbrt-unprod_binary64_7858 prod-exp_binary64_7874 associate-/l/_binary64_7777
associate-*r/_binary64_7772 pow-prod-down_binary64_7896 clear-num_binary64_7827 +-commutative_binary64_7760 *-commutative_binary64_7761 frac-2neg_binary64_7839 associate-+r+_binary64_7762
Counts
3 → 90
Calls

3 calls:

13.0ms
(*.f64 y (/.f64 (+.f64 x (+.f64 y x)) y))
8.0ms
(/.f64 (+.f64 x (+.f64 y x)) y)
6.0ms
(+.f64 x (+.f64 y x))

series124.0ms (8.6%)

Counts
3 → 9
Calls

3 calls:

47.0ms
(/.f64 (+.f64 x (+.f64 y x)) y)
45.0ms
(*.f64 y (/.f64 (+.f64 x (+.f64 y x)) y))
32.0ms
(+.f64 x (+.f64 y x))

simplify73.0ms (5.1%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049101298
149101298

prune61.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh112
Picked101
Done011
Total1003103

Merged error: 0b

Counts
103 → 3
Compiler

Compiled 1401 to 278 computations (80.2% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

7.4b
(*.f64 y (+.f64 1 (*.f64 2 (/.f64 x y))))

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7849
add-exp-log_binary64_7863 pow1_binary64_7886 add-cbrt-cube_binary64_7861 add-cube-cbrt_binary64_7860 associate-*l*_binary64_7771 associate-*r*_binary64_7770 *-un-lft-identity_binary64_7828
associate-*r/_binary64_7772
pow-prod-down_binary64_7896 flip3-+_binary64_7831 flip-+_binary64_7802 distribute-rgt-in_binary64_7780 distribute-lft-in_binary64_7779 *-commutative_binary64_7761 unswap-sqr_binary64_7796 cbrt-unprod_binary64_7858 add-log-exp_binary64_7864 prod-exp_binary64_7874
Counts
1 → 22
Calls

1 calls:

6.0ms
(*.f64 y (+.f64 1 (*.f64 2 (/.f64 x y))))

series63.0ms (4.4%)

Counts
1 → 3
Calls

1 calls:

63.0ms
(*.f64 y (+.f64 1 (*.f64 2 (/.f64 x y))))

simplify49.0ms (3.4%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05496277

prune20.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New24125
Fresh101
Picked101
Done101
Total27128

Merged error: 0b

Counts
28 → 1
Compiler

Compiled 305 to 196 computations (35.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample335.0ms (23.3%)

Algorithm
intervals
Results
140.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 21 to 22 computations (-4.8% saved)

Profiling

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