Details

Time bar (total: 5.6s)

analyze603.0ms (10.8%)

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
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)

sample2.2s (39.8%)

Results
819.0ms1435×body1024valid
813.0ms5574×body128valid
312.0ms825×body512valid
107.0ms416×body256valid
79.0ms535×body128invalid
25.0ms53×body512invalid
17.0ms34×body1024invalid
12.0ms44×body256invalid
8.0msbody2048valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify8.0ms (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
2.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
2.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
2.3b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series41.0ms (0.7%)

Counts
3 → 64
Calls

3 calls:

27.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite17.0ms (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)

simplify116.0ms (2.1%)

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 → 144
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune122.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1386144
Fresh000
Picked101
Done000
Total1396145
Error
0.0b
Counts
145 → 6
Alt Table
StatusErrorProgram
2.6b
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)
2.9b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
36.5b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
2.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 2233 to 732 computations (67.2% saved)

localize10.0ms (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))
2.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series52.0ms (0.9%)

Counts
2 → 60
Calls

2 calls:

31.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
21.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite53.0ms (0.9%)

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:

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

simplify269.0ms (4.8%)

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

prune280.0ms (5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5011502
Fresh145
Picked011
Done000
Total5026508
Error
0b
Counts
508 → 6
Alt Table
StatusErrorProgram
2.6b
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)
2.9b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
6.2b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
2.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 10022 to 2128 computations (78.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 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))
2.3b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)

series45.0ms (0.8%)

Counts
3 → 72
Calls

3 calls:

28.0ms
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
13.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite25.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
31×add-cbrt-cube_binary64
22×prod-exp_binary64
21×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
Counts
3 → 95
Calls

3 calls:

8.0ms
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
6.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
6.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

simplify106.0ms (1.9%)

Algorithm
egg-herbie
Rules
526×associate-/r*_binary64
479×fma-def_binary64
472×associate-*l/_binary64
439×associate-*r/_binary64
327×associate-/l/_binary64
Counts
167 → 164
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702130
14111865
213661847
342601843
449551843
549721843

prune111.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1640164
Fresh044
Picked011
Done011
Total1646170
Error
0b
Counts
170 → 6
Alt Table
StatusErrorProgram
2.6b
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)
2.9b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
6.2b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
2.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 2658 to 1242 computations (53.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.2b
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.3b
(cbrt.f64 (/.f64 (sin.f64 y) y))
2.3b
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)

series407.0ms (7.3%)

Counts
3 → 60
Calls

3 calls:

211.0ms
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
150.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))
45.0ms
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)

rewrite41.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
77×cbrt-prod_binary64
68×add-sqr-sqrt_binary64
54×times-frac_binary64
44×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
Counts
3 → 138
Calls

3 calls:

13.0ms
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)
12.0ms
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
2.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify101.0ms (1.8%)

Algorithm
egg-herbie
Rules
702×associate-/r*_binary64
584×associate-/l/_binary64
385×associate-/r/_binary64
216×associate-*l*_binary64
202×associate-*r*_binary64
Counts
198 → 215
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02674083
15633816
219953619
351533619

prune288.0ms (5.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4100410
Fresh033
Picked011
Done022
Total4106416
Error
0b
Counts
416 → 6
Alt Table
StatusErrorProgram
2.6b
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) z)
2.9b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
6.2b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
2.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.0b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.3b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 11420 to 2639 computations (76.9% saved)

regimes581.0ms (10.4%)

Accuracy

Total 3.0b remaining (99.2%)

Threshold costs 0b (0%)

Counts
97 → 1
Compiler

Compiled 9756 to 5803 computations (40.5% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1912
2912

end70.0ms (1.2%)

Compiler

Compiled 105 to 63 computations (40% saved)

Profiling

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