Details

Time bar (total: 5.0s)

analyze526.0ms (10.5%)

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
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.0s (39%)

Results
733.0ms1440×body1024valid
711.0ms5530×body128valid
256.0ms821×body512valid
107.0ms461×body256valid
67.0ms526×body128invalid
21.0ms71×body512invalid
14.0ms61×body256invalid
13.0ms26×body1024invalid
3.0msbody2048valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series47.0ms (0.9%)

Counts
3 → 64
Calls

3 calls:

30.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
Counts
3 → 89
Calls

3 calls:

5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.0ms
(/.f64 (sin.f64 y) y)

simplify125.0ms (2.5%)

Algorithm
egg-herbie
Rules
611×fma-def_binary64
563×associate-/l/_binary64
381×associate-/r*_binary64
381×associate-/r/_binary64
361×fma-neg_binary64
Counts
153 → 146
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune93.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1388146
Fresh000
Picked101
Done000
Total1398147
Error
0b
Counts
147 → 8
Alt Table
StatusErrorProgram
3.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.3b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
5.8b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
6.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
7.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Compiler

Compiled 2295 to 768 computations (66.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b
(/.f64 y (sin.f64 y))
0.2b
(/.f64 1 (/.f64 y (sin.f64 y)))
3.1b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

series54.0ms (1.1%)

Counts
4 → 76
Calls

4 calls:

30.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
14.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms
(/.f64 y (sin.f64 y))
3.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite47.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
159×times-frac_binary64
106×add-sqr-sqrt_binary64
94×*-un-lft-identity_binary64
92×add-cube-cbrt_binary64
64×add-exp-log_binary64
Counts
4 → 215
Calls

4 calls:

17.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
5.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms
(/.f64 y (sin.f64 y))

simplify166.0ms (3.3%)

Algorithm
egg-herbie
Rules
785×fma-def_binary64
596×associate-/r/_binary64
535×associate-/l/_binary64
505×associate-/r*_binary64
360×fma-neg_binary64
Counts
291 → 342
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02364176
15363683
217253636
341113628
449863628
549703628

prune215.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3402342
Fresh257
Picked011
Done000
Total3428350
Error
0b
Counts
350 → 8
Alt Table
StatusErrorProgram
8.1b
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
3.2b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
3.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
5.8b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Compiler

Compiled 6271 to 2558 computations (59.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (/.f64 y (sin.f64 y)))
0.1b
(/.f64 y (sin.f64 y))
3.1b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

series41.0ms (0.8%)

Counts
2 → 60
Calls

2 calls:

28.0ms
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
12.0ms
(/.f64 x (/.f64 y (sin.f64 y)))

rewrite50.0ms (1%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
47×associate-/l*_binary64
Counts
2 → 270
Calls

2 calls:

9.0ms
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
5.0ms
(/.f64 x (/.f64 y (sin.f64 y)))

simplify258.0ms (5.1%)

Algorithm
egg-herbie
Rules
623×associate-/l/_binary64
480×associate-*r*_binary64
473×fma-def_binary64
315×associate-/l*_binary64
302×associate-/r*_binary64
Counts
330 → 435
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04867932
111637711
232947687
342607681
449777681
549617681

prune224.0ms (4.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4750475
Fresh066
Picked011
Done011
Total4758483
Error
0b
Counts
483 → 8
Alt Table
StatusErrorProgram
8.1b
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
3.2b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
3.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
5.8b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Compiler

Compiled 9518 to 2078 computations (78.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(/.f64 z (/.f64 (sin.f64 y) y))
3.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series48.0ms (1%)

Counts
2 → 60
Calls

2 calls:

27.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
21.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite51.0ms (1%)

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 → 270
Calls

2 calls:

11.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

simplify297.0ms (5.9%)

Algorithm
egg-herbie
Rules
569×associate-/r/_binary64
420×fma-def_binary64
415×associate-/l/_binary64
387×associate-*l/_binary64
350×*-commutative_binary64
Counts
330 → 463
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04897995
111027743
239787730
342117727
449627727
549947727

prune237.0ms (4.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5020502
Fresh055
Picked011
Done022
Total5028510
Error
0b
Counts
510 → 8
Alt Table
StatusErrorProgram
8.1b
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
3.2b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
3.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
5.8b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
34.3b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Compiler

Compiled 9963 to 2099 computations (78.9% saved)

regimes426.0ms (8.5%)

Accuracy

Total 0.2b remaining (91.8%)

Threshold costs 0.2b (91.8%)

Counts
36 → 3
Compiler

Compiled 3607 to 2132 computations (40.9% saved)

bsearch2.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02064
12264
22264

end92.0ms (1.8%)

Compiler

Compiled 186 to 98 computations (47.3% saved)

Profiling

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