Details

Time bar (total: 2.9s)

analyze46.0ms (1.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify161.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
013316
113316

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.8b
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_7828
12×times-frac_binary64_7834
10×add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860
associate-/r*_binary64_7774 distribute-lft-out_binary64_7781
add-exp-log_binary64_7863 add-cbrt-cube_binary64_7861 associate-/l*_binary64_7775
associate-/r/_binary64_7776
div-inv_binary64_7825 pow1_binary64_7886 flip3-+_binary64_7831 flip-+_binary64_7802 clear-num_binary64_7827 cbrt-undiv_binary64_7859 div-exp_binary64_7876 add-log-exp_binary64_7864 frac-2neg_binary64_7839
Counts
1 → 33
Calls

1 calls:

8.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series110.0ms (3.8%)

Counts
1 → 3
Calls

1 calls:

110.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify80.0ms (2.8%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04913762
14913762

prune44.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0b

Counts
37 → 5
Compiler

Compiled 786 to 474 computations (39.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.7b
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
6.0b
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))

rewrite28.0ms (1%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_7828
27×add-sqr-sqrt_binary64_7849
26×times-frac_binary64_7834
20×add-cube-cbrt_binary64_7860
18×associate-*r*_binary64_7770
15×add-exp-log_binary64_7863
add-cbrt-cube_binary64_7861
distribute-lft-out_binary64_7781
pow1_binary64_7886
associate-/r/_binary64_7776 associate-/r*_binary64_7774 div-exp_binary64_7876 prod-exp_binary64_7874
associate-/l*_binary64_7775 unswap-sqr_binary64_7796 associate-*l*_binary64_7771
rec-exp_binary64_7875 div-inv_binary64_7825 flip3-+_binary64_7831 flip-+_binary64_7802 cbrt-undiv_binary64_7859 cbrt-unprod_binary64_7858 add-log-exp_binary64_7864 1-exp_binary64_7869
associate-*r/_binary64_7772 pow-prod-down_binary64_7896 un-div-inv_binary64_7826 pow-flip_binary64_7899 clear-num_binary64_7827 *-commutative_binary64_7761 inv-pow_binary64_7910 frac-2neg_binary64_7839
Counts
2 → 78
Calls

2 calls:

13.0ms
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))
8.0ms
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))

series191.0ms (6.7%)

Counts
2 → 6
Calls

2 calls:

110.0ms
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))
81.0ms
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))

simplify77.0ms (2.7%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049061492
149061492

prune87.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh213
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4
Compiler

Compiled 1714 to 1105 computations (35.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
6.7b
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

rewrite32.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
108×times-frac_binary64_7834
92×*-un-lft-identity_binary64_7828
60×add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860
19×associate-/r*_binary64_7774
16×distribute-lft-out_binary64_7781
15×add-exp-log_binary64_7863
add-cbrt-cube_binary64_7861
div-exp_binary64_7876
associate-/l*_binary64_7775
div-inv_binary64_7825
cbrt-undiv_binary64_7859
pow1_binary64_7886
rec-exp_binary64_7875 clear-num_binary64_7827 add-log-exp_binary64_7864 frac-2neg_binary64_7839 associate-/l/_binary64_7777 1-exp_binary64_7869
pow-flip_binary64_7899 flip3-+_binary64_7831 flip-+_binary64_7802 associate-/r/_binary64_7776 inv-pow_binary64_7910
Counts
2 → 121
Calls

2 calls:

11.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
8.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

series169.0ms (5.9%)

Counts
2 → 6
Calls

2 calls:

107.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
62.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

simplify90.0ms (3.1%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050033023

prune134.0ms (4.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4
Compiler

Compiled 2759 to 1702 computations (38.3% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

3.1b
(*.f64 y (*.f64 y (*.f64 x x)))
6.0b
(*.f64 y (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) 4))) (-.f64 1 (/.f64 (*.f64 y x) 2))))
9.0b
(*.f64 y (*.f64 x x))
16.4b
(*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) 4))) (-.f64 1 (/.f64 (*.f64 y x) 2)))

rewrite76.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
42×add-exp-log_binary64_7863
38×add-sqr-sqrt_binary64_7849
33×associate-*l*_binary64_7771
32×add-cbrt-cube_binary64_7861
31×*-un-lft-identity_binary64_7828
25×pow1_binary64_7886
22×prod-exp_binary64_7874
20×times-frac_binary64_7834
18×add-cube-cbrt_binary64_7860
16×cbrt-unprod_binary64_7858
13×pow-prod-down_binary64_7896
associate-*r/_binary64_7772 associate-*r*_binary64_7770
difference-of-squares_binary64_7797
sub-neg_binary64_7821
flip3--_binary64_7832 distribute-rgt-in_binary64_7780 distribute-lft-in_binary64_7779 flip--_binary64_7803
distribute-lft-out--_binary64_7782 div-exp_binary64_7876 *-commutative_binary64_7761 unswap-sqr_binary64_7796 add-log-exp_binary64_7864 frac-times_binary64_7838
associate-*l/_binary64_7773 rec-exp_binary64_7875 associate-/r/_binary64_7776 cbrt-undiv_binary64_7859 1-exp_binary64_7869
div-inv_binary64_7825
Counts
4 → 126
Calls

4 calls:

23.0ms
(*.f64 y (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) 4))) (-.f64 1 (/.f64 (*.f64 y x) 2))))
23.0ms
(*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) 4))) (-.f64 1 (/.f64 (*.f64 y x) 2)))
9.0ms
(*.f64 y (*.f64 y (*.f64 x x)))
6.0ms
(*.f64 y (*.f64 x x))

series497.0ms (17.3%)

Counts
4 → 12
Calls

4 calls:

221.0ms
(*.f64 y (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) 4))) (-.f64 1 (/.f64 (*.f64 y x) 2))))
173.0ms
(*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) 4))) (-.f64 1 (/.f64 (*.f64 y x) 2)))
55.0ms
(*.f64 y (*.f64 y (*.f64 x x)))
46.0ms
(*.f64 y (*.f64 x x))

simplify78.0ms (2.7%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049813439
149813439

prune173.0ms (6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done033
Total1384142

Merged error: 0b

Counts
142 → 4
Compiler

Compiled 4353 to 2345 computations (46.1% saved)

regimes211.0ms (7.3%)

Compiler

Compiled 212 to 176 computations (17% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05719
15719

end0.0ms (0%)

sample510.0ms (17.8%)

Algorithm
intervals
Results
270.0ms7999×body128valid
0.0msbody1024valid
Compiler

Compiled 87 to 73 computations (16.1% saved)

Profiling

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