Details

Time bar (total: 12.0s)

analyze2.7s (22.2%)

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
9.4%90.5%0.1%7
14%85.8%0.1%8
16.4%83.5%0.1%9
24.6%75.3%0.1%10
28.7%71.2%0.1%11
30.7%69.1%0.1%12
35.8%64%0.1%13
38.4%61.5%0.1%14
Compiler

Compiled 32 to 18 computations (43.8% saved)

sample5.6s (47%)

Results
3.0s2130×body1024valid
1.4s4540×body128valid
931.0ms1057×body512valid
305.0ms524×body256valid
21.0msbody2048valid
Compiler

Compiled 95 to 53 computations (44.2% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×fma-def_binary64
11×*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
13044
25044
35644
45644

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 118 to 51 computations (56.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 eh (cos.f64 t))
0.1b
(*.f64 ew (sin.f64 t))
3.7b
(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series102.0ms (0.9%)

Counts
4 → 120
Calls

4 calls:

70.0ms
(/.f64 (/.f64 eh ew) (tan.f64 t))
18.0ms
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
7.0ms
(*.f64 eh (cos.f64 t))
6.0ms
(*.f64 ew (sin.f64 t))

rewrite19.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
54×add-sqr-sqrt_binary64
50×*-un-lft-identity_binary64
50×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
4 → 123
Calls

4 calls:

5.0ms
(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms
(*.f64 ew (sin.f64 t))
3.0ms
(*.f64 eh (cos.f64 t))
1.0ms
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify159.0ms (1.3%)

Algorithm
egg-herbie
Rules
627×fma-neg_binary64
478×associate-/r*_binary64
383×*-commutative_binary64
297×associate-*l/_binary64
269×fma-def_binary64
Counts
243 → 184
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02793500
16323355
219483333
340303333
447943333
549853329
649743329

prune203.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2856291
Fresh000
Picked101
Done000
Total2866292
Error
0.0b
Counts
292 → 6
Alt Table
StatusErrorProgram
0.7b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
18.1b
(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
17.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.2b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 10781 to 2200 computations (79.6% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))
0.3b
(cbrt.f64 (cos.f64 t))
3.7b
(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series319.0ms (2.7%)

Counts
2 → 24
Calls

2 calls:

186.0ms
(*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))
133.0ms
(cbrt.f64 (cos.f64 t))

rewrite9.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
pow1_binary64
Counts
2 → 55
Calls

2 calls:

5.0ms
(*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))
1.0ms
(cbrt.f64 (cos.f64 t))

simplify121.0ms (1%)

Algorithm
egg-herbie
Rules
731×log-prod_binary64
499×unswap-sqr_binary64
478×fma-def_binary64
432×cancel-sign-sub-inv_binary64
389×distribute-rgt-neg-in_binary64
Counts
79 → 84
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082826
1170826
2479758
31310736
43373606
54171606
64644606
74991606
84891606

prune440.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3603363
Fresh145
Picked101
Done000
Total3627369
Error
0.0b
Counts
369 → 7
Alt Table
StatusErrorProgram
0.7b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
18.1b
(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.2b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (cbrt.f64 (pow.f64 (cos.f64 t) 2))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.2b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 16400 to 2990 computations (81.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (cos.f64 t) 2)
0.3b
(cbrt.f64 (cos.f64 t))
3.7b
(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series3.0ms (0%)

Counts
1 → 4
Calls

1 calls:

3.0ms
(pow.f64 (cos.f64 t) 2)

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
pow-unpow_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
unpow-prod-down_binary64
add-cube-cbrt_binary64
Counts
1 → 20
Calls

1 calls:

2.0ms
(pow.f64 (cos.f64 t) 2)

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
884×fma-neg_binary64
621×associate-*l*_binary64
428×associate-*r*_binary64
421×cube-prod_binary64
404×log-prod_binary64
Counts
24 → 30
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046235
196192
2211192
3604189
42490189
54325189
64975189

prune414.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2860286
Fresh066
Picked011
Done000
Total2867293
Error
0.0b
Counts
293 → 7
Alt Table
StatusErrorProgram
0.7b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
18.1b
(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.4b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.2b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (cbrt.f64 (pow.f64 (cos.f64 t) 2))) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.2b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 12906 to 4073 computations (68.4% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
0.3b
(cbrt.f64 (cos.f64 t))
3.7b
(/.f64 (/.f64 eh ew) (tan.f64 t))
31.8b
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series186.0ms (1.6%)

Counts
1 → 12
Calls

1 calls:

186.0ms
(cbrt.f64 (pow.f64 (cos.f64 t) 2))

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
unpow-prod-down_binary64
add-cube-cbrt_binary64
Counts
1 → 18
Calls

1 calls:

2.0ms
(cbrt.f64 (pow.f64 (cos.f64 t) 2))

simplify89.0ms (0.7%)

Algorithm
egg-herbie
Rules
565×log-prod_binary64
471×associate-*l*_binary64
407×distribute-rgt-neg-in_binary64
400×distribute-rgt-in_binary64
383×associate-*r*_binary64
Counts
30 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051358
1105302
2228300
3623296
42284296
54577296
64963296
74900296

prune905.0ms (7.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2822284
Fresh145
Picked101
Done011
Total2847291
Error
0.0b
Counts
291 → 7
Alt Table
StatusErrorProgram
0.7b
(fabs.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 ew (sin.f64 t))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cbrt.f64 (*.f64 ew (sin.f64 t)))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
18.1b
(fabs.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 ew (sin.f64 t)) 3)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.2b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)) (cbrt.f64 (cos.f64 t))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (cbrt.f64 (pow.f64 (cos.f64 t) 2))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t))) (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
0.3b
(fabs.f64 (fma.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 (*.f64 eh (cbrt.f64 (pow.f64 (cos.f64 t) 2))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))) (cbrt.f64 (cbrt.f64 (cos.f64 t))))) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.9b
(fabs.f64 (fma.f64 (*.f64 (*.f64 ew (sqrt.f64 (sin.f64 t))) (sqrt.f64 (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
28.2b
(fabs.f64 (fma.f64 (*.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (sin.f64 t))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
Compiler

Compiled 12349 to 3675 computations (70.2% saved)

regimes362.0ms (3%)

Accuracy

Total 0.1b remaining (48.9%)

Threshold costs 0.1b (48.9%)

Counts
47 → 1
Compiler

Compiled 8811 to 4899 computations (44.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
12544
22444

end174.0ms (1.5%)

Compiler

Compiled 336 to 177 computations (47.3% saved)

Profiling

Loading profile data...