Details

Time bar (total: 24.6s)

analyze3.2s (13.1%)

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)

sample17.2s (69.9%)

Results
5.0s1281×body4096invalid
3.8s3964×body1024valid
2.8s1134×body2048invalid
1.5s1101×body2048valid
1.2s475×body4096valid
951.0ms1429×body512valid
639.0ms694×body1024invalid
335.0ms526×body512invalid
248.0ms1086×body128invalid
217.0ms498×body256valid
193.0ms789×body128valid
142.0ms292×body256invalid
Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify37.0ms (0.2%)

Algorithm
egg-herbie
Rules
856×associate-*l/_binary64
417×associate-/r/_binary64
392×associate-/r*_binary64
347×distribute-rgt-in_binary64
323×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02038
15235
217432
382032
4496632
5494332

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
39.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
39.8b
(/.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 97 to 65 computations (33% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
1.2b
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
13.3b
(/.f64 (pow.f64 t 3) (*.f64 l l))
27.5b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series301.0ms (1.2%)

Counts
4 → 132
Calls

4 calls:

109.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
106.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
59.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
26.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite91.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
290×expm1-udef_binary64
290×log1p-udef_binary64
165×add-sqr-sqrt_binary64
157×log1p-expm1-u_binary64
157×expm1-log1p-u_binary64
Counts
4 → 106
Calls

4 calls:

89.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
89.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
89.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))
89.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01674
134373
2416073
3515473
000
100

simplify70.0ms (0.3%)

Algorithm
egg-herbie
Rules
827×times-frac_binary64
656×associate-/l*_binary64
496×associate-*l*_binary64
372×associate-/r*_binary64
185×associate-/r/_binary64
Counts
238 → 138
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0852796
12392790
29462780
351372780

prune168.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New12810138
Fresh000
Picked101
Done000
Total12910139
Error
14.5b
Counts
139 → 10
Alt Table
StatusErrorProgram
38.6b
(/.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (pow.f64 (/.f64 k t) 2)))
38.5b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
51.2b
(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k))))) 2)) 3))
51.2b
(/.f64 2 (pow.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k))))) 2))
47.2b
(/.f64 2 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
29.3b
(/.f64 2 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
34.1b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
22.0b
(/.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
29.2b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
29.0b
(/.f64 2 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
Compiler

Compiled 4053 to 2348 computations (42.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (sin.f64 k) 2)
1.6b
(*.f64 t (pow.f64 (sin.f64 k) 2))
6.2b
(*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.4b
(/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series154.0ms (0.6%)

Counts
4 → 16
Calls

4 calls:

107.0ms
(/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
27.0ms
(*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))
17.0ms
(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms
(pow.f64 (sin.f64 k) 2)

rewrite79.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
250×expm1-udef_binary64
250×log1p-udef_binary64
232×log-pow_binary64
142×add-sqr-sqrt_binary64
136×log1p-expm1-u_binary64
Counts
4 → 110
Calls

4 calls:

76.0ms
(pow.f64 (sin.f64 k) 2)
76.0ms
(*.f64 t (pow.f64 (sin.f64 k) 2))
76.0ms
(*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))
76.0ms
(/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
129553
2370753
3504653
000
100

simplify40.0ms (0.2%)

Algorithm
egg-herbie
Rules
664×fma-neg_binary64
520×associate-/r*_binary64
283×fma-def_binary64
223×distribute-rgt-neg-in_binary64
219×distribute-lft-neg-in_binary64
Counts
126 → 141
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061410
1181376
2576352
32082338
45054338

prune200.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New13110141
Fresh279
Picked011
Done000
Total13318151
Error
8.4b
Counts
151 → 18
Alt Table
StatusErrorProgram
38.8b
(/.f64 2 (*.f64 (/.f64 (*.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 k) (*.f64 l l))) 2)) (/.f64 (*.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))) (cbrt.f64 (*.f64 (cos.f64 k) (*.f64 l l))))))
20.2b
(/.f64 2 (*.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 (*.f64 k k) (/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l))))))
47.2b
(/.f64 2 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
28.6b
(/.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 k) 2))) 1))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
35.9b
(/.f64 2 (*.f64 (/.f64 (*.f64 k k) (*.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l (sqrt.f64 (cos.f64 k))))))
29.3b
(/.f64 2 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
22.2b
(/.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (pow.f64 (cbrt.f64 (*.f64 t (pow.f64 (sin.f64 k) 2))) 3)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
38.6b
(/.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (pow.f64 (/.f64 k t) 2)))
38.5b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
51.2b
(/.f64 2 (pow.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k))))) 2))
46.7b
(/.f64 2 (pow.f64 (/.f64 (*.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
22.9b
(/.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (*.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) (cbrt.f64 (pow.f64 (sin.f64 k) 4))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
20.0b
(/.f64 2 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
34.1b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
22.0b
(/.f64 2 (/.f64 (*.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
29.2b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
46.7b
(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 3))
29.5b
(/.f64 2 (+.f64 (*.f64 (/.f64 t l) (+.f64 (/.f64 (pow.f64 k 4) l) (/.f64 (*.f64 1/6 (pow.f64 k 6)) l))) (*.f64 (/.f64 t l) (+.f64 (/.f64 (*.f64 31/360 (pow.f64 k 8)) l) (/.f64 (*.f64 173/5040 (pow.f64 k 10)) l)))))
Compiler

Compiled 4300 to 2404 computations (44.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (sin.f64 k) 2)
1.6b
(*.f64 t (pow.f64 (sin.f64 k) 2))
6.7b
(*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
15.2b
(/.f64 (*.f64 k k) (*.f64 l l))

series137.0ms (0.6%)

Counts
2 → 60
Calls

2 calls:

112.0ms
(*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
25.0ms
(/.f64 (*.f64 k k) (*.f64 l l))

rewrite79.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
262×expm1-udef_binary64
262×log1p-udef_binary64
149×add-sqr-sqrt_binary64
141×log1p-expm1-u_binary64
141×expm1-log1p-u_binary64
Counts
2 → 118
Calls

2 calls:

76.0ms
(*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
76.0ms
(/.f64 (*.f64 k k) (*.f64 l l))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
130330
2404630
3510630
000
100

simplify59.0ms (0.2%)

Algorithm
egg-herbie
Rules
938×fma-def_binary64
552×associate-*l/_binary64
450×associate-*r/_binary64
448×associate-/r/_binary64
444×associate-/l/_binary64
Counts
178 → 129
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0411226
11041224
23381220
315101206
440801196
553271196

prune297.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New16812180
Fresh13316
Picked101
Done101
Total18315198
Error
1.4b
Counts
198 → 15
Alt Table
StatusErrorProgram
20.2b
(/.f64 2 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
9.0b
(/.f64 2 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 k l) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k l) 2)) 2)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
12.5b
(/.f64 2 (/.f64 (*.f64 (/.f64 (*.f64 k k) l) t) (*.f64 l (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
8.7b
(/.f64 2 (/.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
29.3b
(/.f64 2 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
10.1b
(/.f64 2 (/.f64 (*.f64 k t) (*.f64 (/.f64 l (/.f64 k l)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
34.1b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
23.6b
(/.f64 2 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) 3)))
46.7b
(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 3))
12.1b
(/.f64 2 (/.f64 (*.f64 k (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) (/.f64 l (/.f64 k l))))
20.2b
(/.f64 2 (*.f64 (*.f64 (neg.f64 (*.f64 k k)) (/.f64 1 (neg.f64 (*.f64 l l)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
14.5b
(/.f64 2 (/.f64 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l (cos.f64 k))))
20.0b
(/.f64 2 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 t (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 k) 2)))) (cos.f64 k))))
11.5b
(/.f64 2 (/.f64 k (*.f64 (/.f64 l (/.f64 k l)) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
45.6b
(/.f64 2 (pow.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 (sin.f64 k) (sqrt.f64 t)) (sqrt.f64 (cos.f64 k)))) 2))
Compiler

Compiled 4607 to 2433 computations (47.2% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
0.4b
(pow.f64 (sin.f64 k) 2)
1.6b
(*.f64 t (pow.f64 (sin.f64 k) 2))
6.8b
(/.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series158.0ms (0.6%)

Counts
2 → 40
Calls

2 calls:

104.0ms
(/.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
53.0ms
(/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite75.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
246×expm1-udef_binary64
246×log1p-udef_binary64
226×log-pow_binary64
139×add-sqr-sqrt_binary64
132×log1p-expm1-u_binary64
Counts
2 → 86
Calls

2 calls:

73.0ms
(/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
73.0ms
(/.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
128136
2361336
3497136
000
100

simplify68.0ms (0.3%)

Algorithm
egg-herbie
Rules
513×associate-*l/_binary64
475×fma-def_binary64
459×associate-/r/_binary64
454×associate-/l/_binary64
423×associate-*r/_binary64
Counts
126 → 104
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0571078
11521074
24561068
318061054
445771054
550761054

prune236.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1487155
Fresh7714
Picked101
Done000
Total15614170
Error
1.4b
Counts
170 → 14
Alt Table
StatusErrorProgram
8.7b
(/.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 k l) 2) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)) t))
9.0b
(/.f64 2 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 k l) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k l) 2)) 2)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
20.2b
(/.f64 2 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
8.7b
(/.f64 2 (/.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (cos.f64 k) (*.f64 t (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 k) 2)))))))
10.1b
(/.f64 2 (/.f64 (*.f64 k t) (*.f64 (/.f64 l (/.f64 k l)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
4.8b
(/.f64 2 (*.f64 (/.f64 (/.f64 k l) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))) 2)) (/.f64 (/.f64 k l) (cbrt.f64 (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
12.1b
(/.f64 2 (/.f64 (*.f64 k (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) (/.f64 l (/.f64 k l))))
18.2b
(/.f64 2 (/.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (cos.f64 k) (*.f64 t (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 k k))))))))
31.1b
(/.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 k l) 2) (cos.f64 k)) (*.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 (sin.f64 k) (sqrt.f64 t))))
12.5b
(/.f64 2 (/.f64 (*.f64 (/.f64 (*.f64 k k) l) t) (*.f64 l (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
20.0b
(/.f64 2 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 t (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 k) 2)))) (cos.f64 k))))
34.1b
(/.f64 2 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
4.5b
(/.f64 2 (*.f64 (/.f64 k l) (*.f64 (/.f64 k l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
34.1b
(/.f64 2 (pow.f64 (/.f64 (/.f64 k l) (/.f64 (sqrt.f64 (/.f64 (cos.f64 k) t)) (sin.f64 k))) 2))
Compiler

Compiled 3817 to 2117 computations (44.5% saved)

regimes1.5s (6%)

Accuracy

Total 3.4b remaining (70.9%)

Threshold costs 0b (0%)

Counts
176 → 2
Compiler

Compiled 26786 to 19092 computations (28.7% saved)

bsearch124.0ms (0.5%)

Steps
ItersRangePoint
7
1.0388488914884596e-267
2.2898237060217996e-265
6.915526448265006e-266
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02570
13170
23170

end275.0ms (1.1%)

Compiler

Compiled 432 to 284 computations (34.3% saved)

Profiling

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