Details

Time bar (total: 4.6s)

analyze224.0ms (4.9%)

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)

sample1.5s (32%)

Infinites
8.1% of outputs are infinite.
Results
596.0ms5738×body128valid
543.0ms1314×body1024valid
202.0ms772×body512valid
82.0ms426×body256valid
5.0msbody2048valid
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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
2.6b
(/.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)
2.5b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series40.0ms (0.9%)

Counts
3 → 64
Calls

3 calls:

26.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
11.0ms
(*.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)

simplify114.0ms (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

prune92.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1397146
Fresh000
Picked101
Done000
Total1407147
Error
0b
Counts
147 → 7
Alt Table
StatusErrorProgram
2.6b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
8.2b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
11.0b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.4b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
3.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.9b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
26.8b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
Compiler

Compiled 2293 to 752 computations (67.2% saved)

localize7.0ms (0.2%)

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))
0.3b
(/.f64 1 (/.f64 y (sin.f64 y)))
2.5b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

series47.0ms (1%)

Counts
4 → 76
Calls

4 calls:

26.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
11.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms
(/.f64 y (sin.f64 y))
3.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite43.0ms (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:

12.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
8.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
4.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms
(/.f64 y (sin.f64 y))

simplify152.0ms (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

prune226.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3420342
Fresh066
Picked011
Done000
Total3427349
Error
0b
Counts
349 → 7
Alt Table
StatusErrorProgram
2.6b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
8.2b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
11.0b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.4b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
3.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.9b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
26.8b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
Compiler

Compiled 6273 to 2546 computations (59.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series44.0ms (1%)

Counts
2 → 60
Calls

2 calls:

27.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
17.0ms
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite46.0ms (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:

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

simplify255.0ms (5.5%)

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

prune236.0ms (5.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5002502
Fresh235
Picked011
Done101
Total5036509
Error
0b
Counts
509 → 6
Alt Table
StatusErrorProgram
11.0b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.7b
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y))))
8.2b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
3.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.9b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
11.6b
(/.f64 (/.f64 x (/.f64 z (sin.f64 y))) y)
Compiler

Compiled 9996 to 2122 computations (78.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
2.7b
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y))))

series44.0ms (1%)

Counts
3 → 72
Calls

3 calls:

26.0ms
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y))))
12.0ms
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
7.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

rewrite123.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
855×times-frac_binary64
456×add-sqr-sqrt_binary64
399×*-un-lft-identity_binary64
387×add-cube-cbrt_binary64
153×add-exp-log_binary64
Counts
3 → 502
Calls

3 calls:

39.0ms
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y))))
10.0ms
(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
4.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

simplify399.0ms (8.6%)

Algorithm
egg-herbie
Rules
625×fma-def_binary64
323×associate-/l*_binary64
319×associate-*r/_binary64
304×associate-*l/_binary64
303×fma-neg_binary64
Counts
574 → 786
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037311099
191110027
232729984
339719978
448679978
550009978
649649978

prune459.0ms (10%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New8250825
Fresh044
Picked011
Done011
Total8256831
Error
0b
Counts
831 → 6
Alt Table
StatusErrorProgram
11.0b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.7b
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y))))
8.2b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
3.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.9b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
11.6b
(/.f64 (/.f64 x (/.f64 z (sin.f64 y))) y)
Compiler

Compiled 19299 to 8202 computations (57.5% saved)

regimes422.0ms (9.1%)

Accuracy

Total 0.3b remaining (94.4%)

Threshold costs 0.3b (94.4%)

Counts
52 → 3
Compiler

Compiled 4882 to 3018 computations (38.2% saved)

bsearch34.0ms (0.7%)

Steps
ItersRangePoint
3
7.049259725444322e-118
2.1149134366530885e-116
1.339412821928085e-116
7
-7.651317932486733e+46
-1.3267345447077323e+34
-4.016258732507709e+34
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01938
12638
22538

end79.0ms (1.7%)

Compiler

Compiled 126 to 78 computations (38.1% saved)

Profiling

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