Details

Time bar (total: 6.7s)

analyze507.0ms (7.6%)

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

Compiled 13 to 9 computations (30.8% saved)

sample2.6s (38.2%)

Results
1.0s5920×body128valid
1.0s1328×body1024valid
296.0ms677×body512valid
105.0ms328×body256valid
4.0msbody2048valid
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify21.0ms (0.3%)

Algorithm
egg-herbie
Rules
230×fma-def_binary64
171×fma-neg_binary64
66×cancel-sign-sub-inv_binary64
44×associate--r+_binary64
44×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23414
35914
49914
515514
624714
729214
837814
941014
1044414
1145414
1243114

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0b
(+.f64 x (cos.f64 y))
0.2b
(*.f64 z (sin.f64 y))

series30.0ms (0.5%)

Counts
4 → 88
Calls

4 calls:

16.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
(*.f64 z (sin.f64 y))
4.0ms
(+.f64 x (cos.f64 y))
1.0ms
(sin.f64 y)

rewrite16.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
11×add-log-exp_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
4 → 70
Calls

4 calls:

5.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms
(*.f64 z (sin.f64 y))
2.0ms
(+.f64 x (cos.f64 y))
1.0ms
(sin.f64 y)

simplify105.0ms (1.6%)

Algorithm
egg-herbie
Rules
941×fma-neg_binary64
545×fma-def_binary64
454×associate-*l*_binary64
392×associate-*r*_binary64
304×cancel-sign-sub-inv_binary64
Counts
158 → 136
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01521757
13961679
211581627
340031621
449951621
549001621

prune130.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1288136
Fresh000
Picked011
Done000
Total1289137
Error
0.0b
Counts
137 → 9
Alt Table
StatusErrorProgram
21.5b
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
1.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
33.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
Compiler

Compiled 2381 to 783 computations (67.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
0.3b
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))

series322.0ms (4.8%)

Counts
4 → 60
Calls

4 calls:

178.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
134.0ms
(cbrt.f64 (sin.f64 y))
7.0ms
(*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
2.0ms
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))

rewrite30.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
39×pow1_binary64
26×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
20×add-exp-log_binary64
16×*-un-lft-identity_binary64
Counts
4 → 116
Calls

4 calls:

10.0ms
(*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))
7.0ms
(*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
6.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))

simplify139.0ms (2.1%)

Algorithm
egg-herbie
Rules
728×unswap-sqr_binary64
491×fma-neg_binary64
396×log-prod_binary64
342×*-commutative_binary64
329×cancel-sign-sub-inv_binary64
Counts
176 → 176
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01681706
13871626
211481514
322231472
443091270
543791270
646091260
748391260

prune253.0ms (3.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2213224
Fresh077
Picked101
Done011
Total22211233
Error
0.0b
Counts
233 → 11
Alt Table
StatusErrorProgram
21.5b
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
0.6b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5) (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
1.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
32.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))) (sqrt.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
33.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))
Compiler

Compiled 5427 to 1674 computations (69.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
0.3b
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
0.5b
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
0.6b
(cbrt.f64 (sin.f64 y))

series286.0ms (4.3%)

Counts
3 → 36
Calls

3 calls:

146.0ms
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
137.0ms
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
2.0ms
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
cbrt-prod_binary64
associate-*r*_binary64
Counts
3 → 59
Calls

3 calls:

4.0ms
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
2.0ms
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
0.0ms
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))

simplify121.0ms (1.8%)

Algorithm
egg-herbie
Rules
819×fma-neg_binary64
547×fma-def_binary64
485×*-commutative_binary64
442×log-prod_binary64
403×cancel-sign-sub-inv_binary64
Counts
95 → 96
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01161167
1247937
2572925
31670899
42917821
54141814
64716814
74902814

prune242.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh099
Picked011
Done011
Total14411155
Error
0.0b
Counts
155 → 11
Alt Table
StatusErrorProgram
21.5b
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
0.6b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5) (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
1.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
32.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))) (sqrt.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
33.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))
Compiler

Compiled 3761 to 1777 computations (52.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (sin.f64 y))
0.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
0.5b
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))

series952.0ms (14.3%)

Counts
3 → 72
Calls

3 calls:

568.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
364.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
19.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
Counts
3 → 79
Calls

3 calls:

7.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
5.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
2.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify129.0ms (1.9%)

Algorithm
egg-herbie
Rules
608×fma-neg_binary64
445×cancel-sign-sub-inv_binary64
352×*-commutative_binary64
346×fma-def_binary64
253×distribute-rgt-neg-in_binary64
Counts
151 → 134
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01692495
14102094
211691731
327331501
446591501
549811501
648911501

prune343.0ms (5.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2952297
Fresh268
Picked011
Done022
Total29711308
Error
0.0b
Counts
308 → 11
Alt Table
StatusErrorProgram
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
1.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
0.6b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5) (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
10.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
33.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))))
Compiler

Compiled 8390 to 2059 computations (75.5% saved)

regimes255.0ms (3.8%)

Accuracy

Total 0.0b remaining (68.8%)

Threshold costs 0.0b (68.8%)

Counts
62 → 1
Compiler

Compiled 4572 to 2874 computations (37.1% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11614
22614
33214
43614
53714
63714

end163.0ms (2.4%)

Compiler

Compiled 244 to 142 computations (41.8% saved)

Profiling

Loading profile data...