Details

Time bar (total: 12.3s)

analyze230.0ms (1.9%)

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
25%74.9%0.1%5
37.4%62.4%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
65.5%34.3%0.1%9
76.5%23.4%0.1%10
76.5%23.4%0.1%11
81.9%17.9%0.1%12
87.8%12.1%0.1%13
87.8%12.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.7s (13.4%)

Results
690.0ms5618×body128valid
578.0ms1340×body1024valid
259.0ms831×body512valid
91.0ms466×body256valid
1.0msbody2048valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify10.0ms (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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
3.6b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

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)
3.5b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series56.0ms (0.5%)

Counts
3 → 64
Calls

3 calls:

39.0ms
(/.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)

rewrite19.0ms (0.2%)

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:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
3.0ms
(/.f64 (sin.f64 y) y)

simplify124.0ms (1%)

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

prune113.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1379146
Fresh000
Picked101
Done000
Total1389147
Error
0.0b
Counts
147 → 9
Alt Table
StatusErrorProgram
13.0b
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
8.3b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
10.2b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
2.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
3.6b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
10.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
Compiler

Compiled 2371 to 796 computations (66.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))

series369.0ms (3%)

Counts
4 → 84
Calls

4 calls:

259.0ms
(/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z))
41.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
40.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
29.0ms
(cbrt.f64 z)

rewrite72.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
293×times-frac_binary64
201×add-sqr-sqrt_binary64
161×*-un-lft-identity_binary64
161×add-cube-cbrt_binary64
104×cbrt-prod_binary64
Counts
4 → 300
Calls

4 calls:

26.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
6.0ms
(/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z))
5.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)

simplify200.0ms (1.6%)

Algorithm
egg-herbie
Rules
481×associate-*r/_binary64
374×associate-/l*_binary64
373×associate-/r*_binary64
347×associate-*l/_binary64
284×times-frac_binary64
Counts
384 → 469
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04078813
111077396
247087388
349837388

prune325.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5021503
Fresh088
Picked011
Done000
Total50210512
Error
0b
Counts
512 → 10
Alt Table
StatusErrorProgram
13.0b
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
8.3b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
10.2b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
2.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
3.6b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
10.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
2.2b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))
Compiler

Compiled 12834 to 2644 computations (79.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 (sin.f64 y))
1.2b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
1.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))

series458.0ms (3.7%)

Counts
3 → 72
Calls

3 calls:

246.0ms
(/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
167.0ms
(cbrt.f64 (sin.f64 y))
45.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))

rewrite992.0ms (8%)

Algorithm
rewrite-expression-head
Rules
6498×times-frac_binary64
2578×add-sqr-sqrt_binary64
2416×*-un-lft-identity_binary64
2402×add-cube-cbrt_binary64
1833×cbrt-prod_binary64
Counts
3 → 2261
Calls

3 calls:

201.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))
39.0ms
(/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
1.0ms
(cbrt.f64 (sin.f64 y))

simplify2.6s (21.1%)

Algorithm
egg-herbie
Rules
949×associate-/r/_binary64
548×associate-*r/_binary64
520×associate-*l/_binary64
312×associate-/l/_binary64
220×associate-/l*_binary64
Counts
2333 → 3588
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811110053
14999110053

prune3.1s (24.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New368903689
Fresh088
Picked011
Done011
Total3689103699
Error
0b
Counts
3699 → 10
Alt Table
StatusErrorProgram
13.0b
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
8.3b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
10.2b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
2.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
3.6b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
10.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
2.2b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))
Compiler

Compiled 169978 to 33857 computations (80.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b
(/.f64 (sin.f64 y) y)
2.6b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))

series42.0ms (0.3%)

Counts
2 → 60
Calls

2 calls:

29.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
13.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite42.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
165×times-frac_binary64
116×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64
43×associate-*r*_binary64
Counts
2 → 166
Calls

2 calls:

19.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
5.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

simplify176.0ms (1.4%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
466×fma-neg_binary64
365×*-commutative_binary64
259×associate-/l*_binary64
190×associate-/l/_binary64
Counts
226 → 272
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02844028
16713778
223133770
328983766
441303766
549673766
649683766

prune255.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3101311
Fresh167
Picked011
Done022
Total31110321
Error
0b
Counts
321 → 10
Alt Table
StatusErrorProgram
13.0b
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
8.3b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
3.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
8.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) z))
10.2b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
2.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
3.6b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
2.2b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) 1) (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))
Compiler

Compiled 6134 to 1980 computations (67.7% saved)

regimes1.3s (10.5%)

Accuracy

Total 0.5b remaining (95.9%)

Threshold costs 0.5b (95.9%)

Counts
159 → 3
Compiler

Compiled 23954 to 13225 computations (44.8% saved)

bsearch62.0ms (0.5%)

Steps
ItersRangePoint
5
2.4007498637164495e-44
1.3358960860625222e-31
8.570453442873267e-33
10
-5.694840618168384e+56
-6.220892035553167e+45
-3.4387833264871806e+50
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02048
12248
22248

end118.0ms (1%)

Compiler

Compiled 223 to 129 computations (42.2% saved)

Profiling

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