Details

Time bar (total: 3.1s)

analyze121.0ms (3.8%)

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)

sample40.0ms (1.3%)

Algorithm
intervals
Results
12.0ms41×body1024valid
9.0ms167×body128valid
4.0ms27×body512valid
2.0ms21×body256valid
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.2%)

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

prune2.0ms (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 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))

series18.0ms (0.6%)

Counts
2 → 28
Calls

2 calls:

15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite11.0ms (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:

5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)

simplify109.0ms (3.5%)

Algorithm
egg-herbie
Rules
722×fma-neg_binary64
645×fma-def_binary64
532×associate-/r/_binary64
459×cancel-sign-sub-inv_binary64
343×associate-*l*_binary64
Counts
91 → 96
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181147
12681057
28431043
324361039
445921039
549991039
649471039

prune61.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh000
Picked011
Done000
Total90797
Error
0.0b
Counts
97 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 1 (/.f64 y (sin.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))))
33.7b
(*.f64 (*.f64 x (/.f64 1 (sqrt.f64 y))) (/.f64 (sin.f64 y) (sqrt.f64 y)))
32.5b
(fma.f64 y (*.f64 (*.f64 y x) -1/6) x)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
6.4b
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y))
6.2b
(/.f64 (*.f64 (sin.f64 y) x) y)
Compiler

Compiled 1343 to 462 computations (65.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series24.0ms (0.7%)

Counts
3 → 40
Calls

3 calls:

12.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms
(/.f64 y (sin.f64 y))
5.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite34.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
156×times-frac_binary64
103×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
89×add-cube-cbrt_binary64
44×associate-*r*_binary64
Counts
3 → 182
Calls

3 calls:

14.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms
(/.f64 y (sin.f64 y))

simplify161.0ms (5.1%)

Algorithm
egg-herbie
Rules
760×fma-neg_binary64
585×fma-def_binary64
359×times-frac_binary64
226×cancel-sign-sub-inv_binary64
220×sub-neg_binary64
Counts
222 → 286
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01803095
13872736
211222693
326622687
439272687
546412687
649962687

prune202.0ms (6.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2824286
Fresh415
Picked101
Done011
Total2876293
Error
0b
Counts
293 → 6
Alt Table
StatusErrorProgram
9.5b
(*.f64 (*.f64 x (/.f64 1 y)) (sin.f64 y))
32.5b
(fma.f64 y (*.f64 (*.f64 y x) -1/6) x)
0.1b
(/.f64 x (/.f64 y (sin.f64 y)))
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
31.9b
(*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 1 (/.f64 y (sqrt.f64 (sin.f64 y)))))
0.5b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))
Compiler

Compiled 4768 to 1916 computations (59.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

13.0ms
(/.f64 x (/.f64 y (sin.f64 y)))

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/r*_binary64
Counts
1 → 72
Calls

1 calls:

4.0ms
(/.f64 x (/.f64 y (sin.f64 y)))

simplify97.0ms (3.1%)

Algorithm
egg-herbie
Rules
901×fma-neg_binary64
421×fma-def_binary64
349×associate-/r/_binary64
324×associate-/l*_binary64
320×associate-/l/_binary64
Counts
96 → 118
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01691738
13721665
210921654
329691650
445491648
551821648

prune82.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1553158
Fresh314
Picked011
Done011
Total1586164
Error
0b
Counts
164 → 6
Alt Table
StatusErrorProgram
0.1b
(/.f64 x (/.f64 y (sin.f64 y)))
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
9.5b
(*.f64 (*.f64 x (/.f64 1 y)) (sin.f64 y))
0.1b
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
9.6b
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
31.9b
(/.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
Compiler

Compiled 2362 to 651 computations (72.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series52.0ms (1.7%)

Counts
2 → 36
Calls

2 calls:

45.0ms
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
7.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

rewrite47.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
57×associate-/r*_binary64
Counts
2 → 280
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

simplify315.0ms (10%)

Algorithm
egg-herbie
Rules
591×associate-/r/_binary64
568×fma-def_binary64
564×associate-/l*_binary64
415×associate-*l/_binary64
401×fma-neg_binary64
Counts
316 → 410
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02456095
15045638
215975601
333605595
446465595
549895593
649955593
749475593

prune278.0ms (8.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4490449
Fresh033
Picked011
Done022
Total4496455
Error
0b
Counts
455 → 6
Alt Table
StatusErrorProgram
0.1b
(/.f64 x (/.f64 y (sin.f64 y)))
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
9.5b
(*.f64 (*.f64 x (/.f64 1 y)) (sin.f64 y))
0.1b
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
9.6b
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
31.9b
(/.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
Compiler

Compiled 8456 to 3296 computations (61% saved)

regimes240.0ms (7.6%)

Accuracy

Total 0.1b remaining (88.1%)

Threshold costs 0.1b (88.1%)

Counts
55 → 1
Compiler

Compiled 3178 to 1780 computations (44% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11012
2912

end0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.2s (38.1%)

Algorithm
intervals
Results
373.0ms1265×body1024valid
317.0ms5439×body128valid
147.0ms846×body512valid
53.0ms449×body256valid
1.0msbody2048valid
Compiler

Compiled 80 to 53 computations (33.8% saved)

Profiling

Loading profile data...