Details

Time bar (total: 7.8s)

analyze516.0ms (6.6%)

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
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)

sample49.0ms (0.6%)

Algorithm
intervals
Results
17.0ms46×body1024valid
11.0ms162×body128valid
7.0ms37×body512valid
1.0ms11×body256valid
1.0ms12×body128invalid
0.0msbody512invalid
0.0msbody1024invalid
0.0msbody256invalid
Compiler

Compiled 26 to 18 computations (30.8% 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
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 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
3.6b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series46.0ms (0.6%)

Counts
3 → 64
Calls

3 calls:

29.0ms
(/.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:

6.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

simplify154.0ms (2%)

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

prune121.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New13410144
Fresh000
Picked101
Done000
Total13510145
Error
0.0b
Counts
145 → 10
Alt Table
StatusErrorProgram
24.1b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (*.f64 x (/.f64 (sin.f64 y) y))) (*.f64 x (/.f64 (sin.f64 y) y)))) z)
7.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
3.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
36.8b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
4.8b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
25.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
24.4b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
4.5b
(/.f64 (*.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)))) z)
3.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
4.1b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 2417 to 808 computations (66.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(/.f64 (/.f64 (sin.f64 y) y) z)
3.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))

series42.0ms (0.5%)

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)

rewrite43.0ms (0.5%)

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)

simplify181.0ms (2.3%)

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

prune231.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3101311
Fresh189
Picked011
Done000
Total31110321
Error
0b
Counts
321 → 10
Alt Table
StatusErrorProgram
24.1b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (*.f64 x (/.f64 (sin.f64 y) y))) (*.f64 x (/.f64 (sin.f64 y) y)))) z)
7.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
3.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
36.8b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
4.8b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
25.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
24.4b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
4.5b
(/.f64 (*.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)))) z)
3.5b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) z))
3.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 6348 to 2058 computations (67.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
0.3b
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.4b
(cbrt.f64 (/.f64 (sin.f64 y) y))
3.1b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) z))

series1.5s (18.9%)

Counts
4 → 84
Calls

4 calls:

944.0ms
(*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
286.0ms
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
192.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))
42.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) z))

rewrite97.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
126×times-frac_binary64
116×cbrt-prod_binary64
110×add-sqr-sqrt_binary64
85×*-un-lft-identity_binary64
85×add-cube-cbrt_binary64
Counts
4 → 213
Calls

4 calls:

37.0ms
(*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
20.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) z))
11.0ms
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
2.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify178.0ms (2.3%)

Algorithm
egg-herbie
Rules
833×times-frac_binary64
582×associate-*l*_binary64
491×associate-*r*_binary64
264×*-commutative_binary64
234×fma-def_binary64
Counts
297 → 352
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03767234
19116774
234896248
351506248

prune342.0ms (4.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4291430
Fresh178
Picked011
Done011
Total43010440
Error
0b
Counts
440 → 10
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (/.f64 (sin.f64 y) y))) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) z))
25.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
24.1b
(/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (*.f64 x (/.f64 (sin.f64 y) y))) (*.f64 x (/.f64 (sin.f64 y) y)))) z)
7.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
3.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
36.8b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
4.8b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 z)))
24.4b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
3.5b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) z))
3.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 12743 to 2639 computations (79.3% saved)

localize7.0ms (0.1%)

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))
3.8b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series46.0ms (0.6%)

Counts
2 → 60
Calls

2 calls:

28.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
18.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite49.0ms (0.6%)

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:

10.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

simplify273.0ms (3.5%)

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

prune329.0ms (4.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4984502
Fresh617
Picked011
Done202
Total5066512
Error
0b
Counts
512 → 6
Alt Table
StatusErrorProgram
7.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
10.2b
(/.f64 (/.f64 x (/.f64 z (sin.f64 y))) y)
3.2b
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
3.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
19.1b
(/.f64 x (/.f64 (/.f64 z (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
10.3b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
Compiler

Compiled 9940 to 2081 computations (79.1% saved)

regimes2.1s (27.1%)

Accuracy

Total 0.2b remaining (92.2%)

Threshold costs 0.2b (92.2%)

Counts
204 → 3
Compiler

Compiled 21715 to 13034 computations (40% saved)

bsearch30.0ms (0.4%)

Steps
ItersRangePoint
1
8.25314054833797e+66
3.207971770651784e+75
1.6550925650564505e+71
7
-1.5017862339189825e-36
-3.60741350089148e-39
-4.8283065942761595e-37
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
12138
22138

end1.0ms (0%)

Compiler

Compiled 28 to 16 computations (42.9% saved)

sample1.4s (18.1%)

Algorithm
intervals
Results
430.0ms1349×body1024valid
345.0ms5405×body128valid
151.0ms844×body512valid
49.0ms401×body256valid
36.0ms571×body128invalid
10.0ms55×body512invalid
5.0ms42×body256invalid
4.0ms12×body1024invalid
1.0msbody2048valid
Compiler

Compiled 116 to 71 computations (38.8% saved)

Profiling

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