Details

Time bar (total: 4.7s)

analyze121.0ms (2.6%)

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
0%99.9%0.1%4
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample63.0ms (1.4%)

Algorithm
intervals
Results
13.0ms45×body1024valid
8.0ms159×body128valid
5.0ms34×body512valid
2.0ms18×body256valid
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
3169
4179
5179

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)

series14.0ms (0.3%)

Counts
2 → 28
Calls

2 calls:

11.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 63
Calls

2 calls:

6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

simplify90.0ms (1.9%)

Algorithm
egg-herbie
Rules
722×fma-neg_binary64
645×fma-def_binary64
532×associate-/r/_binary64
459×cancel-sign-sub-inv_binary64
346×associate-*l*_binary64
Counts
91 → 98
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181147
12681057
28431043
324361039
445921039
549991039
649471039

prune66.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh000
Picked101
Done000
Total92799
Error
0b
Counts
99 → 7
Alt Table
StatusErrorProgram
17.7b
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
1.1b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
29.1b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
0.2b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
8.4b
(/.f64 (*.f64 (sin.f64 y) x) y)
7.1b
(*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 1425 to 484 computations (66% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
0.2b
(*.f64 (sin.f64 y) (/.f64 1 y))

series15.0ms (0.3%)

Counts
2 → 36
Calls

2 calls:

12.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
14×associate-*r*_binary64
13×prod-exp_binary64
Counts
2 → 64
Calls

2 calls:

6.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))
5.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))

simplify81.0ms (1.7%)

Algorithm
egg-herbie
Rules
568×fma-neg_binary64
383×fma-def_binary64
379×associate-/r*_binary64
320×associate-/l/_binary64
316×cancel-sign-sub-inv_binary64
Counts
100 → 107
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01151096
1264956
2737942
31735938
43749938
54801938
64965938

prune68.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done000
Total1077114
Error
0b
Counts
114 → 7
Alt Table
StatusErrorProgram
17.7b
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
1.1b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
29.1b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
0.2b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
8.4b
(/.f64 (*.f64 (sin.f64 y) x) y)
7.1b
(*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 1608 to 796 computations (50.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 y (cbrt.f64 (sin.f64 y)))
0.3b
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y))))
0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.5b
(cbrt.f64 (sin.f64 y))

series619.0ms (13.3%)

Counts
4 → 48
Calls

4 calls:

244.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
193.0ms
(/.f64 y (cbrt.f64 (sin.f64 y)))
177.0ms
(cbrt.f64 (sin.f64 y))
3.0ms
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y))))

rewrite28.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
76×times-frac_binary64
62×add-sqr-sqrt_binary64
54×*-un-lft-identity_binary64
54×add-cube-cbrt_binary64
49×cbrt-prod_binary64
Counts
4 → 162
Calls

4 calls:

7.0ms
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y))))
5.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
3.0ms
(/.f64 y (cbrt.f64 (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))

simplify135.0ms (2.9%)

Algorithm
egg-herbie
Rules
707×fma-def_binary64
469×fma-neg_binary64
429×unswap-sqr_binary64
404×*-commutative_binary64
271×associate-/l*_binary64
Counts
210 → 271
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02463961
15532958
221822828
330052701
447592701
549782701

prune148.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3190319
Fresh055
Picked011
Done011
Total3197326
Error
0b
Counts
326 → 7
Alt Table
StatusErrorProgram
17.7b
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
1.1b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
29.1b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
0.2b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
8.4b
(/.f64 (*.f64 (sin.f64 y) x) y)
7.1b
(*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 6944 to 2001 computations (71.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
0.5b
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
8.1b
(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

series1.4s (30.2%)

Counts
3 → 72
Calls

3 calls:

909.0ms
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
460.0ms
(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
39.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
21×associate-*r/_binary64
17×cbrt-div_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
Counts
3 → 90
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
4.0ms
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
2.0ms
(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

simplify97.0ms (2.1%)

Algorithm
egg-herbie
Rules
586×fma-neg_binary64
366×fma-def_binary64
282×associate-*l/_binary64
233×associate-*r/_binary64
220×cancel-sign-sub-inv_binary64
Counts
162 → 153
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01953172
14632917
214142470
345662469
450642469

prune150.0ms (3.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3260326
Fresh044
Picked011
Done022
Total3267333
Error
0b
Counts
333 → 7
Alt Table
StatusErrorProgram
17.7b
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
1.1b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
29.1b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
0.2b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
8.4b
(/.f64 (*.f64 (sin.f64 y) x) y)
7.1b
(*.f64 (*.f64 x (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 9079 to 1944 computations (78.6% saved)

regimes302.0ms (6.5%)

Accuracy

Total 0.1b remaining (78.1%)

Threshold costs 0.1b (78.1%)

Counts
86 → 1
Compiler

Compiled 4584 to 2870 computations (37.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
unpow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2109

end0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.2s (25.1%)

Algorithm
intervals
Results
383.0ms1309×body1024valid
288.0ms5347×body128valid
131.0ms858×body512valid
58.0ms483×body256valid
2.0msbody2048valid
Compiler

Compiled 123 to 65 computations (47.2% saved)

Profiling

Loading profile data...