Details

Time bar (total: 28.0s)

analyze3.4s (12.1%)

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
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
0%99.9%0.1%10
0%99.5%0.5%11
0%99.1%0.9%12
0.4%97.3%2.3%13
0.7%95.8%3.5%14
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample375.0ms (1.3%)

Algorithm
intervals
Results
99.0ms133×body1024valid
73.0ms25×body4096invalid
60.0ms37×body2048invalid
36.0ms31×body2048valid
25.0ms15×body4096valid
19.0ms42×body512valid
12.0ms19×body1024invalid
10.0ms17×body512invalid
5.0ms33×body128invalid
5.0ms14×body256invalid
4.0ms25×body128valid
3.0ms10×body256valid
Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify46.0ms (0.2%)

Algorithm
egg-herbie
Rules
856×associate-*l/_binary64
739×associate-*r/_binary64
417×associate-/r/_binary64
392×associate-/r*_binary64
347×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02038
15235
217232
380632
4518532

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
41.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
41.1b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
Compiler

Compiled 72 to 51 computations (29.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
1.1b
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
17.4b
(/.f64 (pow.f64 t 3) (*.f64 l l))
27.3b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite333.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
24.7b
Rules
228×add-exp-log_binary64
139×prod-exp_binary64
52×add-cbrt-cube_binary64
51×div-exp_binary64
37×times-frac_binary64
Counts
4 → 187
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
10.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
9.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
9.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))
Compiler

Compiled 4545 to 2196 computations (51.7% saved)

series241.0ms (0.9%)

Error
23.9b
Counts
4 → 42
Calls

4 calls:

79.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
74.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
50.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
20.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))
Compiler

Compiled 2443 to 1837 computations (24.8% saved)

simplify181.0ms (0.6%)

Algorithm
egg-herbie
Rules
601×unswap-sqr_binary64
512×associate-*l*_binary64
377×associate-*r*_binary64
310×log-prod_binary64
197×*-commutative_binary64
Counts
229 → 205
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03175820
17385130
232665081
347665081
451035081

prune131.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New19411205
Fresh000
Picked101
Done000
Total19511206
Error
17.5b
Counts
206 → 11
Alt Table
StatusErrorProgram
25.2b
(/.f64 2 (/.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (*.f64 l l))))
48.6b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t (sqrt.f64 t)) l) (/.f64 (*.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
33.7b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
49.8b
(/.f64 2 (*.f64 (*.f64 k (*.f64 k (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
33.8b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
43.4b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (*.f64 k (cbrt.f64 k))) (pow.f64 (/.f64 (cbrt.f64 k) t) 2)))
41.1b
(/.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (*.f64 l l))) (cos.f64 k)) (pow.f64 (/.f64 k t) 2)))
39.8b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (*.f64 (/.f64 k t) (cbrt.f64 (/.f64 k t)))) (pow.f64 (cbrt.f64 (/.f64 k t)) 2)))
41.5b
(/.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)) (*.f64 (cos.f64 k) (*.f64 l l))) (pow.f64 (/.f64 k t) 2)))
33.6b
(/.f64 2 (/.f64 (*.f64 t (pow.f64 k 4)) (*.f64 l l)))
33.7b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
Compiler

Compiled 3112 to 1674 computations (46.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(pow.f64 (sin.f64 k) 2)
1.4b
(*.f64 t (pow.f64 (sin.f64 k) 2))
7.4b
(*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.1b
(/.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (*.f64 l l)))

rewrite208.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
12.1b
Rules
163×add-exp-log_binary64
102×prod-exp_binary64
87×add-cbrt-cube_binary64
48×cbrt-unprod_binary64
27×div-exp_binary64
Counts
4 → 124
Calls

4 calls:

16.0ms
(/.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (*.f64 l l)))
7.0ms
(*.f64 t (pow.f64 (sin.f64 k) 2))
7.0ms
(*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
2.0ms
(pow.f64 (sin.f64 k) 2)
Compiler

Compiled 3349 to 1274 computations (62% saved)

series149.0ms (0.5%)

Error
17.5b
Counts
4 → 36
Calls

4 calls:

71.0ms
(/.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (*.f64 l l)))
28.0ms
(*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
20.0ms
(*.f64 t (pow.f64 (sin.f64 k) 2))
8.0ms
(pow.f64 (sin.f64 k) 2)
Compiler

Compiled 1884 to 1306 computations (30.7% saved)

simplify123.0ms (0.4%)

Algorithm
egg-herbie
Rules
481×times-frac_binary64
464×associate-/l/_binary64
323×associate-/r/_binary64
244×cancel-sign-sub-inv_binary64
241×associate-*r*_binary64
Counts
160 → 123
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02204197
15083112
225203100
346293100
449883100

prune77.0ms (0.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1176123
Fresh1910
Picked101
Done000
Total11915134
Error
16.0b
Counts
134 → 15
Alt Table
StatusErrorProgram
29.1b
(/.f64 2 (/.f64 (*.f64 (*.f64 k k) (*.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (*.f64 l l))))
33.7b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
37.0b
(/.f64 2 (/.f64 (*.f64 (*.f64 k k) (cbrt.f64 (pow.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) 3))) (*.f64 (cos.f64 k) (*.f64 l l))))
33.8b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
43.4b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (*.f64 k (cbrt.f64 k))) (pow.f64 (/.f64 (cbrt.f64 k) t) 2)))
25.1b
(/.f64 2 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (*.f64 l l))))
33.9b
(/.f64 2 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) 3)) (*.f64 (cos.f64 k) (*.f64 l l))))
41.1b
(/.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (*.f64 l l))) (cos.f64 k)) (pow.f64 (/.f64 k t) 2)))
49.8b
(/.f64 2 (*.f64 (*.f64 k (*.f64 k (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
25.1b
(/.f64 2 (/.f64 (*.f64 k k) (/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))
39.8b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (*.f64 (/.f64 k t) (cbrt.f64 (/.f64 k t)))) (pow.f64 (cbrt.f64 (/.f64 k t)) 2)))
46.0b
(/.f64 2 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (*.f64 l l) (cos.f64 k)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (*.f64 l l) (cos.f64 k))))))
41.5b
(/.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)) (*.f64 (cos.f64 k) (*.f64 l l))) (pow.f64 (/.f64 k t) 2)))
48.6b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t (sqrt.f64 t)) l) (/.f64 (*.f64 t (sqrt.f64 t)) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
33.7b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
Compiler

Compiled 1846 to 1008 computations (45.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b
(/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))
1.4b
(*.f64 t (pow.f64 (sin.f64 k) 2))
12.2b
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))
17.1b
(/.f64 (*.f64 k k) (/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))

rewrite322.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
4.1b
Rules
167×add-exp-log_binary64
92×add-cbrt-cube_binary64
79×div-exp_binary64
76×times-frac_binary64
53×prod-exp_binary64
Counts
4 → 184
Calls

4 calls:

10.0ms
(/.f64 (*.f64 k k) (/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
8.0ms
(*.f64 t (pow.f64 (sin.f64 k) 2))
7.0ms
(/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))
6.0ms
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))
Compiler

Compiled 5352 to 2277 computations (57.5% saved)

series225.0ms (0.8%)

Error
16.0b
Counts
4 → 45
Calls

4 calls:

72.0ms
(/.f64 (*.f64 k k) (/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
61.0ms
(/.f64 (cos.f64 k) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))
43.0ms
(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))
19.0ms
(*.f64 t (pow.f64 (sin.f64 k) 2))
Compiler

Compiled 2403 to 1711 computations (28.8% saved)

simplify223.0ms (0.8%)

Algorithm
egg-herbie
Rules
321×times-frac_binary64
278×associate-/l*_binary64
263×associate-/r/_binary64
226×log-div_binary64
213×associate-/r*_binary64
Counts
229 → 175
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03276915
17675725
233355678
346095676
449915676
549695676

prune137.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New16510175
Fresh10414
Picked101
Done000
Total17614190
Error
4.4b
Counts
190 → 14
Alt Table
StatusErrorProgram
18.5b
(/.f64 2 (/.f64 (*.f64 k k) (*.f64 (/.f64 l t) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
33.7b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
18.3b
(/.f64 2 (*.f64 (*.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 k (*.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))))) (/.f64 k (*.f64 (*.f64 l l) (cbrt.f64 (cos.f64 k))))))
33.8b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
43.8b
(/.f64 2 (*.f64 (*.f64 k (sqrt.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))) (/.f64 k (/.f64 (cos.f64 k) (sqrt.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))))
33.7b
(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
25.0b
(/.f64 2 (/.f64 (*.f64 k k) (*.f64 (/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (*.f64 l l) (cos.f64 k)))))
49.8b
(/.f64 2 (*.f64 (*.f64 k (*.f64 k (*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
11.7b
(/.f64 2 (/.f64 (*.f64 k (*.f64 k (/.f64 t l))) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
32.3b
(/.f64 2 (/.f64 (*.f64 (/.f64 k (/.f64 (sqrt.f64 (cos.f64 k)) (/.f64 t l))) k) (/.f64 (sqrt.f64 (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
12.2b
(/.f64 2 (/.f64 (*.f64 (/.f64 k (/.f64 (*.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 t l))) k) (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
21.5b
(/.f64 2 (*.f64 (/.f64 k (cos.f64 k)) (*.f64 k (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))
18.2b
(/.f64 2 (*.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 k (*.f64 (*.f64 l l) (cos.f64 k)))))
8.5b
(/.f64 2 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
Compiler

Compiled 2963 to 1452 computations (51% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(pow.f64 (sin.f64 k) 2)
1.4b
(*.f64 (*.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
2.0b
(/.f64 (pow.f64 (sin.f64 k) 2) l)
6.8b
(*.f64 k (/.f64 t l))

rewrite796.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
1.0b
Rules
769×times-frac_binary64
348×add-sqr-sqrt_binary64
343×*-un-lft-identity_binary64
343×add-cube-cbrt_binary64
285×associate-*r*_binary64
Counts
4 → 415
Calls

4 calls:

52.0ms
(*.f64 (*.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
6.0ms
(*.f64 k (/.f64 t l))
4.0ms
(/.f64 (pow.f64 (sin.f64 k) 2) l)
2.0ms
(pow.f64 (sin.f64 k) 2)
Compiler

Compiled 14364 to 5897 computations (58.9% saved)

series147.0ms (0.5%)

Error
4.4b
Counts
4 → 36
Calls

4 calls:

74.0ms
(*.f64 (*.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
25.0ms
(*.f64 k (/.f64 t l))
22.0ms
(/.f64 (pow.f64 (sin.f64 k) 2) l)
9.0ms
(pow.f64 (sin.f64 k) 2)
Compiler

Compiled 1822 to 1273 computations (30.1% saved)

simplify549.0ms (2%)

Algorithm
egg-herbie
Rules
832×associate-/r/_binary64
813×times-frac_binary64
662×associate-/l/_binary64
271×*-commutative_binary64
268×associate-*r/_binary64
Counts
451 → 391
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081312781
1234111196
2463111196
3414111081
4482411081
5492511081
6499611081
7491511081

prune446.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New37912391
Fresh12113
Picked101
Done000
Total39213405
Error
0.7b
Counts
405 → 13
Alt Table
StatusErrorProgram
19.9b
(/.f64 2 (/.f64 (*.f64 k (*.f64 k t)) (*.f64 l (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
5.1b
(/.f64 2 (*.f64 (*.f64 (*.f64 k (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (cbrt.f64 t) l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
4.2b
(/.f64 2 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 (sin.f64 k) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))))) (/.f64 (cbrt.f64 k) (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (sin.f64 k) (cbrt.f64 l))))))
7.9b
(/.f64 2 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (*.f64 (sin.f64 k) (/.f64 (sin.f64 k) l))))))
13.2b
(/.f64 2 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 6)) l)))))
34.3b
(/.f64 2 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (sqrt.f64 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))) (sqrt.f64 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))))
18.2b
(/.f64 2 (*.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 k (*.f64 (*.f64 l l) (cos.f64 k)))))
5.2b
(/.f64 2 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 k t) l) (*.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k)))) (pow.f64 (sin.f64 k) 2)) (/.f64 k (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 1 l)))))
8.8b
(/.f64 2 (*.f64 (*.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (/.f64 t l) (cbrt.f64 k))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
7.3b
(/.f64 2 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) (pow.f64 (sin.f64 k) 2))) (/.f64 (cbrt.f64 k) (/.f64 (cos.f64 k) (/.f64 1 l)))))
33.6b
(/.f64 2 (*.f64 (/.f64 (/.f64 (*.f64 k t) l) (/.f64 (*.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 (sin.f64 k) (sqrt.f64 l)))) (/.f64 k (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (sin.f64 k) (sqrt.f64 l))))))
7.1b
(/.f64 2 (/.f64 (*.f64 k (/.f64 (*.f64 k t) l)) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
33.5b
(/.f64 2 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (sqrt.f64 k) (/.f64 (*.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (sin.f64 k)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (sin.f64 k) l)))))
Compiler

Compiled 10105 to 3710 computations (63.3% saved)

regimes4.8s (17.1%)

Accuracy

Total 2.1b remaining (72.4%)

Threshold costs 0b (0%)

Compiler

Compiled 85651 to 55444 computations (35.3% saved)

bsearch26.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
unpow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03481
14181
23981

end1.0ms (0%)

Compiler

Compiled 55 to 31 computations (43.6% saved)

sample15.0s (53.6%)

Algorithm
intervals
Results
4.1s1211×body4096invalid
3.0s3949×body1024valid
2.5s1141×body2048invalid
1.3s1016×body2048valid
1.1s440×body4096valid
734.0ms1319×body512valid
471.0ms641×body1024invalid
264.0ms457×body512invalid
181.0ms1087×body128invalid
171.0ms465×body256valid
142.0ms811×body128valid
100.0ms309×body256invalid
Compiler

Compiled 475 to 290 computations (38.9% saved)

Profiling

Loading profile data...