Details

Time bar (total: 8.1s)

analyze483.0ms (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)

sample62.0ms (0.8%)

Algorithm
intervals
Results
16.0ms46×body1024valid
11.0ms177×body128valid
4.0ms22×body512valid
1.0ms24×body128invalid
1.0ms11×body256valid
0.0msbody512invalid
0.0msbody1024invalid
0.0msbody256invalid
Compiler

Compiled 26 to 18 computations (30.8% 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
1.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
1.9b
(/.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)
1.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series40.0ms (0.5%)

Counts
3 → 64
Calls

3 calls:

26.0ms
(/.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)

rewrite16.0ms (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:

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

simplify118.0ms (1.5%)

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 (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1397146
Fresh000
Picked011
Done000
Total1398147
Error
0b
Counts
147 → 8
Alt Table
StatusErrorProgram
33.7b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
1.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
24.8b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
2.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
11.7b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
7.0b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
9.2b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
Compiler

Compiled 2344 to 767 computations (67.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
0.4b
(*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
1.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
14.4b
(cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

series3.4s (42.3%)

Counts
3 → 108
Calls

3 calls:

2.4s
(*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
944.0ms
(cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))
126.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))

rewrite33.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod_binary64
30×add-sqr-sqrt_binary64
29×pow1_binary64
20×associate-*r*_binary64
20×*-un-lft-identity_binary64
Counts
3 → 124
Calls

3 calls:

11.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
9.0ms
(*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
3.0ms
(cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

simplify238.0ms (2.9%)

Algorithm
egg-herbie
Rules
771×fma-def_binary64
756×times-frac_binary64
216×cancel-sign-sub-inv_binary64
184×fma-neg_binary64
181×associate-*l*_binary64
Counts
232 → 234
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02746232
16355837
219955069
348625069
453605069

prune280.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4760476
Fresh066
Picked011
Done011
Total4768484
Error
0b
Counts
484 → 8
Alt Table
StatusErrorProgram
33.7b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
1.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
24.8b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
2.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
11.7b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
7.0b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
9.2b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
Compiler

Compiled 16774 to 2615 computations (84.4% saved)

localize7.0ms (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)
3.6b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))

series42.0ms (0.5%)

Counts
2 → 60
Calls

2 calls:

27.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
15.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite41.0ms (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:

18.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
6.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

simplify174.0ms (2.1%)

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

prune190.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3110311
Fresh055
Picked011
Done022
Total3118319
Error
0b
Counts
319 → 8
Alt Table
StatusErrorProgram
33.7b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
1.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
24.8b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
2.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))) (cbrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
11.7b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
7.0b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
9.2b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
Compiler

Compiled 6181 to 1995 computations (67.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 y) x)
0.4b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
1.8b
(/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y))
7.1b
(/.f64 (*.f64 (sin.f64 y) x) y)

series80.0ms (1%)

Counts
4 → 80
Calls

4 calls:

33.0ms
(/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y))
25.0ms
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
12.0ms
(/.f64 (*.f64 (sin.f64 y) x) y)
9.0ms
(*.f64 (sin.f64 y) x)

rewrite40.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
234×times-frac_binary64
109×add-sqr-sqrt_binary64
107×*-un-lft-identity_binary64
107×add-cube-cbrt_binary64
54×add-exp-log_binary64
Counts
4 → 231
Calls

4 calls:

8.0ms
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
4.0ms
(/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y))
4.0ms
(/.f64 (*.f64 (sin.f64 y) x) y)
3.0ms
(*.f64 (sin.f64 y) x)

simplify201.0ms (2.5%)

Algorithm
egg-herbie
Rules
803×fma-def_binary64
531×*-commutative_binary64
406×fma-neg_binary64
228×associate-/r/_binary64
182×cancel-sign-sub-inv_binary64
Counts
311 → 381
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02896034
16525423
223165285
336785277
448905277
549715277

prune243.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3783381
Fresh314
Picked011
Done123
Total3827389
Error
0b
Counts
389 → 7
Alt Table
StatusErrorProgram
12.8b
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))
10.6b
(/.f64 1 (/.f64 z (*.f64 (sin.f64 y) (/.f64 x y))))
11.7b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
12.4b
(*.f64 (/.f64 x (/.f64 z (sin.f64 y))) (/.f64 1 y))
7.0b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
3.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
1.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 7141 to 2298 computations (67.8% saved)

regimes758.0ms (9.4%)

Accuracy

Total 0.3b remaining (94.6%)

Threshold costs 0.3b (94.6%)

Counts
76 → 3
Compiler

Compiled 8249 to 5030 computations (39% saved)

bsearch13.0ms (0.2%)

Steps
ItersRangePoint
1
2.0871942206591607e+24
2.1953693901104236e+24
2.1142380130219762e+24
2
-1.5807866287100594e+74
-1.1279987091758083e+71
-7.136291900600073e+71
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)

sample1.5s (18.2%)

Algorithm
intervals
Results
484.0ms1395×body1024valid
350.0ms5429×body128valid
154.0ms791×body512valid
51.0ms382×body256valid
34.0ms533×body128invalid
11.0ms51×body512invalid
6.0ms46×body256invalid
5.0ms18×body1024invalid
2.0msbody2048valid
Compiler

Compiled 128 to 84 computations (34.4% saved)

Profiling

Loading profile data...