Details

Time bar (total: 34.3s)

analyze789.0ms (2.3%)

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%93.6%6.4%8
6.2%87.4%6.4%9
10.9%79.6%9.5%10
13.7%73.7%12.6%11
17.7%68.8%13.4%12
Compiler

Compiled 31 to 24 computations (22.6% saved)

sample4.4s (12.9%)

Results
1.9s2239×body1024valid
1.5s4846×body256valid
784.0ms1167×body512valid
267.0ms1139×body256invalid
5.0msbody2048valid

preprocess58.0ms (0.2%)

Algorithm
egg-herbie
Rules
763×fma-def_binary64
568×unswap-sqr_binary64
555×fma-neg_binary64
386×distribute-neg-frac_binary64
380×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056140
1138112
2339112
3808112
42075112
54823112
66771112
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 F)))) (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (+.f64 (*.f64 B B) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 F (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 x x) 2) (*.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 B)) (neg.f64 (/.f64 1 2)))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 x 2)) -1/2)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 F)))) (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (+.f64 (*.f64 B B) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 F))) (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (+.f64 (*.f64 x 2) (fma.f64 B B 2)) -1/2)))
(-.f64 (*.f64 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2)) (/.f64 x (tan.f64 F)))
(fma.f64 (/.f64 B (sin.f64 F)) (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 F)))
(-.f64 (*.f64 B (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 B B 2)) -1/2) (sin.f64 F))) (/.f64 x (tan.f64 F)))
(+.f64 (neg.f64 (*.f64 F (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 x x) 2) (*.f64 2 F)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 (*.f64 F 1) (tan.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 x x 2) (*.f64 F 2)) -1/2)))
(fma.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 F 2 (fma.f64 x x 2)) -1/2) (/.f64 (neg.f64 F) (tan.f64 B)))
(fma.f64 (/.f64 x (sin.f64 B)) (pow.f64 (fma.f64 x x (fma.f64 F 2 2)) -1/2) (/.f64 (neg.f64 F) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 B)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 B 2)) -1/2)))
(fma.f64 (/.f64 F (sin.f64 x)) (pow.f64 (fma.f64 B 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 B) (tan.f64 x)))
(-.f64 (*.f64 (/.f64 F (sin.f64 x)) (pow.f64 (fma.f64 B 2 (fma.f64 F F 2)) -1/2)) (/.f64 B (tan.f64 x)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify59.0ms (0.2%)

Algorithm
egg-herbie
Rules
632×distribute-rgt-neg-in_binary64
586×div-sub_binary64
474×fma-neg_binary64
437×sub-neg_binary64
411×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02335
14928
210528
321528
449428
5148728
6388428
7630628
8758828
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (fma.f64 F F 2) (*.f64 x 2)) -1/2)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))

eval1.0ms (0%)

Compiler

Compiled 49 to 33 computations (32.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
10.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
13.6b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
10.1b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Compiler

Compiled 52 to 38 computations (26.9% saved)

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
0.2b
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
0.2b
(/.f64 x (tan.f64 B))
0.0b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
0.2b
(/.f64 x (tan.f64 B))
0.2b
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
0.3b
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
15.7b
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series81.0ms (0.2%)

Counts
4 → 104
Calls

30 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
17.0ms
x
@inf
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
3.0ms
B
@-inf
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
3.0ms
F
@0
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
3.0ms
x
@0
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))

rewrite78.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
723×log-prod_binary64
393×pow2_binary64
274×pow1/3_binary64
270×expm1-udef_binary64
270×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
129955
2377155
Stop Event
node limit
Counts
4 → 130
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
(/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))
(*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))
(/.f64 x (tan.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (pow.f64 (sin.f64 B) 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1)) 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simplify125.0ms (0.4%)

Algorithm
egg-herbie
Rules
830×distribute-rgt-in_binary64
769×times-frac_binary64
437×fma-def_binary64
287×*-commutative_binary64
250×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04374824
114574189
247533811
Stop Event
node limit
Counts
234 → 267
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
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(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) (fma.f64 3/2 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
(-.f64 (fma.f64 3/2 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) (fma.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 7)))) (fma.f64 3/2 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 5)))) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))))
(-.f64 (fma.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 7)))) (fma.f64 3/2 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 5))))) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))))
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 F F 2) 2)) 3/32)))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))) (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) (/.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 F F 2) 2)) 3/32)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 x (+.f64 2 (*.f64 F F)))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) (fma.f64 -1/48 (pow.f64 (+.f64 2 (*.f64 F F)) 3) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 3) -7/384))))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) x) (fma.f64 F F 2)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x)))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 F F 2) 2)) 3/32))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2)) x) (fma.f64 F F 2)) (*.f64 (pow.f64 x -1/2) (pow.f64 2 -1/2))) (*.f64 (*.f64 (/.f64 (pow.f64 2 -1/2) x) (/.f64 (pow.f64 x -1/2) x)) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 3) -5/128) x) (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(fma.f64 -1/4 (/.f64 (fma.f64 F F 2) (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))))) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))))
(fma.f64 -1/4 (/.f64 (fma.f64 F F 2) (/.f64 x (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)))) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 2 (*.f64 F F)) 2) 3/32))) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 x (+.f64 2 (*.f64 F F))))))
(+.f64 (fma.f64 -1/4 (/.f64 (fma.f64 F F 2) (/.f64 x (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))))) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 (fma.f64 -1/4 (/.f64 (fma.f64 F F 2) (/.f64 x (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)))) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F 2) 2) 3/32) x) (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -2 -1/2)) x)))
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(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.1b
(/.f64 F (sin.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
8.3b
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
15.7b
(pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))

series21.0ms (0.1%)

Counts
4 → 88
Calls

24 calls:

TimeVariablePointExpression
6.0ms
B
@0
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
2.0ms
F
@0
(pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))
1.0ms
B
@inf
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
1.0ms
F
@0
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
1.0ms
x
@0
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))

rewrite84.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
428×fma-def_binary64
351×expm1-udef_binary64
351×log1p-udef_binary64
295×log-pow_binary64
250×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02148
141944
2539744
Stop Event
node limit
Counts
4 → 92
Calls
Call 1
Inputs
(pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
(*.f64 x (/.f64 1 (tan.f64 B)))
(/.f64 1 (tan.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1)) (cbrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2))) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 F F (fma.f64 2 x 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2))) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (neg.f64 F)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 F (sin.f64 B))) (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 3) (pow.f64 (/.f64 F (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3) (pow.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2))) (log.f64 (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -1/2 (log.f64 (fma.f64 F F (fma.f64 2 x 2))) (log.f64 (/.f64 F (sin.f64 B)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (tan.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 B)) -1) (pow.f64 (sqrt.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 B))) 1))))))

simplify79.0ms (0.2%)

Algorithm
egg-herbie
Rules
781×distribute-rgt-in_binary64
776×distribute-lft-in_binary64
606×times-frac_binary64
350×fma-def_binary64
229×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03713330
112012917
239432673
Stop Event
node limit
Counts
180 → 195
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))) (*.f64 -5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(/.f64 1 F)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 3) (pow.f64 F 7))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 F 5))) (/.f64 1 F)))))))
(/.f64 -1 F)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (/.f64 1 F))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5)))) (/.f64 1 F))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 3)) (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 x)) 3)) (*.f64 -1/48 (pow.f64 (+.f64 2 (*.f64 2 x)) 3)))) (pow.f64 F 7))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (*.f64 1/8 (pow.f64 (+.f64 2 (*.f64 2 x)) 2))) (pow.f64 F 5))))) (/.f64 1 F))
(sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 7))))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 5))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (pow.f64 F 2) 2)) x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 -1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 -1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)) (*.f64 1/32 (pow.f64 (+.f64 (pow.f64 F 2) 2) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (pow.f64 F 2) 2)) x)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))) (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (+.f64 (*.f64 1/64 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)) (*.f64 1/384 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (pow.f64 x 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 F 7) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2)) (+.f64 (*.f64 2 x) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
Outputs
(sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))
(sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))) (pow.f64 F 2))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (*.f64 F F)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (*.f64 F F) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 5))) (pow.f64 F 4))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (*.f64 F F)) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)))) (*.f64 F F) (fma.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5)))) (pow.f64 F 4) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 3))) (pow.f64 F 2))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 5))) (pow.f64 F 4))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))) (*.f64 -5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 2 x) 2) 7))) (pow.f64 F 6))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3))) (*.f64 F F)) (+.f64 (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 5))) (pow.f64 F 4)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (*.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 7)))) (pow.f64 F 6))))
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(fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B)))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 -1/3 (*.f64 x B) (/.f64 x B)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (*.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))))) (fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))))
(-.f64 (fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))))
(-.f64 (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 -1/3 (*.f64 x B) (/.f64 x B))) (*.f64 (pow.f64 B 5) (*.f64 x 2/945)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))

eval463.0ms (1.4%)

Compiler

Compiled 17575 to 11554 computations (34.3% saved)

prune158.0ms (0.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New43329462
Fresh000
Picked101
Done101
Total43529464
Error
0.0b
Counts
464 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
34.2b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) (pow.f64 F 3))) (/.f64 x (tan.f64 B)))
27.3b
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
10.1b
(-.f64 (*.f64 F (*.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (/.f64 x (tan.f64 B)))
12.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
31.7b
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
27.9b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
10.1b
(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
10.2b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
30.8b
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
10.1b
(-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
37.9b
(-.f64 (*.f64 F (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sqrt.f64 (sin.f64 B))))) (/.f64 x (tan.f64 B)))
31.8b
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
31.7b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
33.7b
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
32.3b
(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
13.6b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
35.5b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
20.9b
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B))))
40.3b
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
13.6b
(+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
30.7b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
31.8b
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
14.1b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))
30.6b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
20.1b
(-.f64 (*.f64 F (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
10.1b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
13.6b
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
35.5b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
40.9b
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Compiler

Compiled 1398 to 1018 computations (27.2% saved)

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))
0.3b
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
0.2b
(/.f64 x (tan.f64 B))
0.0b
(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.2b
(/.f64 x (tan.f64 B))
0.3b
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
0.4b
(/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))
15.7b
(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series11.0ms (0%)

Counts
2 → 44
Calls

15 calls:

TimeVariablePointExpression
1.0ms
F
@0
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
x
@0
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
x
@inf
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
x
@-inf
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
1.0ms
F
@-inf
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

rewrite88.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
598×log-prod_binary64
342×pow-prod-down_binary64
325×pow2_binary64
226×pow1/3_binary64
224×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01235
125235
2310934
Stop Event
node limit
Counts
2 → 73
Calls
Call 1
Inputs
(/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B))
(*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (*.f64 F (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (pow.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) 2) (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (sqrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (*.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (neg.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F 1) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) 1) (/.f64 F (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) 2) 1) (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) 1) (/.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (cbrt.f64 (pow.f64 (sin.f64 B) 2))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (cbrt.f64 (pow.f64 (sin.f64 B) 2))) (/.f64 F (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) 2) (cbrt.f64 (pow.f64 (sin.f64 B) 2))) (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (cbrt.f64 (pow.f64 (sin.f64 B) 2))) (/.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sqrt.f64 (sin.f64 B))) (/.f64 F (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) F)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) F))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (*.f64 F F)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -3/2) (pow.f64 F 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) F))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -3/2) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2))) (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2))) (log.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 -1/2 (log.f64 (fma.f64 x 2 (fma.f64 F F 2))) (log.f64 F))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/6) (cbrt.f64 F))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/4))) 2))))))

simplify73.0ms (0.2%)

Algorithm
egg-herbie
Rules
460×associate-/l*_binary64
454×distribute-lft-in_binary64
454×distribute-rgt-in_binary64
385×associate-/r*_binary64
332×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02382688
18482333
225902066
Stop Event
node limit
Counts
117 → 143
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 F 7) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2)) (+.f64 (*.f64 2 x) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))))))
(+.f64 (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 F x) (sin.f64 B)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 F (*.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))) (pow.f64 x 3))) (sin.f64 B)) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x)))))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) (+.f64 2 (*.f64 2 x))))))
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2)))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (+.f64 2 (*.f64 2 x))))) (pow.f64 F 7)))) (+.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2))))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4))) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4))) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (pow.f64 F 6))))))
-1
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4)))) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (pow.f64 F 6))))) 1)
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 F (*.f64 (pow.f64 x 3) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (fma.f64 2 x 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 (*.f64 -1/2 (pow.f64 F 3)) (*.f64 (fma.f64 2 x 2) (sin.f64 B))) (/.f64 F (sin.f64 B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (/.f64 (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (sin.f64 B))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (fma.f64 2 x 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 2)))) (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2)) (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (pow.f64 F 5)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 (*.f64 -1/2 (pow.f64 F 3)) (*.f64 (fma.f64 2 x 2) (sin.f64 B))) (/.f64 F (sin.f64 B)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 F 5) (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (/.f64 (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (sin.f64 B)))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 F 7) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2)) (+.f64 (*.f64 2 x) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))))) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (+.f64 2 (*.f64 2 x)) (sin.f64 B))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (pow.f64 F 5)) (sin.f64 B)) (sqrt.f64 (+.f64 (*.f64 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 7) (/.f64 (sin.f64 B) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 2)) (fma.f64 2 x 2)) (/.f64 1 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (fma.f64 2 x 2) 2)))))) (sqrt.f64 (fma.f64 2 x 2))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 3) (*.f64 (fma.f64 2 x 2) (sin.f64 B))) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 2)))) (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2)))))))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 F 7) (sin.f64 B)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)))) (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2)) (sqrt.f64 (fma.f64 2 x 2))) (/.f64 (sin.f64 B) (pow.f64 F 5)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 (*.f64 -1/2 (pow.f64 F 3)) (*.f64 (fma.f64 2 x 2) (sin.f64 B))) (/.f64 F (sin.f64 B))))))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 F 7) (sin.f64 B)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)))) (sqrt.f64 (fma.f64 2 x 2))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 F 5) (sqrt.f64 (fma.f64 2 x 2))) (sin.f64 B)) (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 (/.f64 F (sin.f64 B)) (/.f64 (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (sin.f64 B))))))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 1 (sin.f64 B)))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F (*.f64 F (sin.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (+.f64 -1 (neg.f64 x)) (*.f64 F (*.f64 F (sin.f64 B)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 (sin.f64 B) (*.f64 F F))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))) (/.f64 1 (sin.f64 B))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F (*.f64 F (sin.f64 B)))) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))) (/.f64 1 (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 -1/2 (sin.f64 B)) (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (*.f64 (sin.f64 B) (pow.f64 F 6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B)))))
(fma.f64 -1/2 (/.f64 (fma.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2) (*.f64 1/2 (*.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2))))) (*.f64 (sin.f64 B) (pow.f64 F 6))) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 (sin.f64 B) (*.f64 F F))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))) (/.f64 1 (sin.f64 B)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (*.f64 (sin.f64 B) (pow.f64 F 6))) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F (*.f64 F (sin.f64 B)))) (fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))) (/.f64 1 (sin.f64 B)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (*.f64 (sin.f64 B) (pow.f64 F 4))) (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 -1/2 (sin.f64 B)) (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B)))
(-.f64 (*.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 (sin.f64 B) (*.f64 F F)))) (/.f64 1 (sin.f64 B)))
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F (*.f64 F (sin.f64 B)))) (/.f64 -1 (sin.f64 B)))
(fma.f64 (/.f64 1/2 (sin.f64 B)) (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 -1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 x) 2) (*.f64 (sin.f64 B) (pow.f64 F 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(-.f64 (*.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 (sin.f64 B) (*.f64 F F))) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4))))) (/.f64 1 (sin.f64 B)))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F (*.f64 F (sin.f64 B)))) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 B)) (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)))) (/.f64 -1 (sin.f64 B)))
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(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 2)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 (*.f64 1/2 (*.f64 (pow.f64 F 5) (sqrt.f64 (fma.f64 2 x 2)))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2)))))
(+.f64 (*.f64 (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2))) (*.f64 1/2 (sqrt.f64 (fma.f64 2 x 2)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 (pow.f64 F 3) (+.f64 (*.f64 2 x) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 x)) 2) (+.f64 (*.f64 2 x) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 1 (+.f64 (*.f64 2 x) 2)))) 2)) (+.f64 2 (*.f64 2 x))))) (pow.f64 F 7)))) (+.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 x))) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 2 x))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2))))) 2))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (*.f64 (pow.f64 F 7) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 2)) (fma.f64 2 x 2)) (/.f64 1 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (fma.f64 2 x 2) 2)))))) (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (*.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (*.f64 -1/2 (*.f64 (/.f64 1 (fma.f64 2 x 2)) (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))))) 2))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))) (fma.f64 -1/2 (*.f64 (pow.f64 F 7) (*.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4))) (sqrt.f64 (fma.f64 2 x 2)))) (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (*.f64 (*.f64 1/2 (*.f64 (pow.f64 F 5) (sqrt.f64 (fma.f64 2 x 2)))) (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (fma.f64 2 x 2))) 2))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 F (*.f64 -1/2 (/.f64 (pow.f64 F 3) (fma.f64 2 x 2))))) (*.f64 (sqrt.f64 (fma.f64 2 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 F 5) (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2)))) (*.f64 -1/2 (*.f64 (pow.f64 F 7) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4)) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 2 x 2))) (+.f64 x 1)) -1/4) 2) (fma.f64 2 x 2))) (/.f64 1 (pow.f64 (fma.f64 2 x 2) 4))))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F))))
(fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) 1)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4))) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (+.f64 1 (*.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)))))
(fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) 1))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (fma.f64 -1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4))) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (pow.f64 F 6))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (+.f64 1 (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (fma.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2) (*.f64 1/2 (*.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2))))) (pow.f64 F 6))))))
(fma.f64 -1/2 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4)) (fma.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6))) 1))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (fma.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6))) 1))
-1
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) 1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4)))) 1)
(+.f64 (*.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)))) -1)
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4))) -1)
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4))) -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 F 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 2 (*.f64 2 x)) 2)) (pow.f64 (*.f64 -1/2 (+.f64 (*.f64 2 x) 2)) 2)) (pow.f64 F 4))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 x)) (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 x) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 (*.f64 2 x) 2) 2)) (pow.f64 (*.f64 -1/2 (+.f64 2 (*.f64 2 x))) 2))))) (pow.f64 F 6))))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (*.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 (fma.f64 2 x 2) (pow.f64 (fma.f64 2 x 2) 2) (*.f64 1/2 (*.f64 (fma.f64 2 x 2) (fma.f64 -1 (pow.f64 (fma.f64 2 x 2) 2) (pow.f64 (*.f64 (fma.f64 2 x 2) -1/2) 2))))) (pow.f64 F 6))))) -1)
(fma.f64 1/2 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (fma.f64 1/2 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2)) (pow.f64 F 4)) (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 x -1)) 2) (pow.f64 (fma.f64 2 x 2) 2))) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6))) -1))
(fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 x 2) (*.f64 F F)) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4) (pow.f64 F 4)) (/.f64 (fma.f64 1/2 (*.f64 (fma.f64 2 x 2) (*.f64 (pow.f64 (fma.f64 2 x 2) 2) -3/4)) (pow.f64 (fma.f64 2 x 2) 3)) (pow.f64 F 6)))) -1)
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))
(fma.f64 -1 (*.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))
(-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(*.f64 F (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 -1 (*.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))))) (fma.f64 1/2 (*.f64 F (*.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) 2)) (*.f64 x x)) (sqrt.f64 (+.f64 2 (*.f64 F F))))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))))
(-.f64 (fma.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)) (*.f64 x x)) (*.f64 F (sqrt.f64 (fma.f64 F F 2)))))) (*.f64 x (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x x)) (*.f64 F (sqrt.f64 (fma.f64 F F 2))))) (*.f64 F (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 F x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 F (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (pow.f64 x 2))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 F (*.f64 (pow.f64 x 3) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3))) (pow.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 F 2) 2) 3)))) 2)) (+.f64 (pow.f64 F 2) 2)))))) (sqrt.f64 (+.f64 (pow.f64 F 2) 2)))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 -1 (*.f64 F (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3))))) (fma.f64 1/2 (*.f64 F (*.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) 2)) (*.f64 x x)) (sqrt.f64 (+.f64 2 (*.f64 F F))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 F F))) (*.f64 (*.f64 F (pow.f64 x 3)) (+.f64 (/.f64 8 (pow.f64 (+.f64 2 (*.f64 F F)) 4)) (neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 2 (*.f64 F F)) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 F F)) 3)))) 2)) (+.f64 2 (*.f64 F F))))))) (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F))))))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (+.f64 (*.f64 (*.f64 1/2 F) (*.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)) (*.f64 x x))) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (/.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))) 2)) (fma.f64 F F 2))) (*.f64 F (pow.f64 x 3)))))) (-.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (*.f64 x (*.f64 F (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (*.f64 F (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 4 (pow.f64 (fma.f64 F F 2) 3)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 3))) (*.f64 x x))) (*.f64 -1/2 (*.f64 (+.f64 (-.f64 (/.f64 8 (pow.f64 (fma.f64 F F 2) 4)) (*.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 4)) 4)) (/.f64 1 (pow.f64 (fma.f64 F F 2) 4))) (pow.f64 x 3)))))) (*.f64 F (-.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 F F 2) 3)))))))

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (tan.f64 B))
0.1b
(/.f64 1 (sin.f64 B))
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 x (tan.f64 B))

series4.0ms (0%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
B
@0
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms
B
@0
(/.f64 1 (sin.f64 B))
0.0ms
x
@0
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms
B
@inf
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms
B
@-inf
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

rewrite107.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
785×prod-diff_binary64
495×log-prod_binary64
276×fma-def_binary64
272×pow2_binary64
200×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119920
2291120
Stop Event
node limit
Counts
2 → 230
Calls
Call 1
Inputs
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
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simplify115.0ms (0.3%)

Algorithm
egg-herbie
Rules
612×cancel-sign-sub-inv_binary64
586×associate--l+_binary64
464×fma-neg_binary64
311×associate--r-_binary64
300×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060520
1157503
2425495
31794491
44210491
Stop Event
node limit
Counts
258 → 250
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (*.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 31/15120 (fma.f64 -2/45 x (*.f64 (*.f64 x 1/45) -1/3)))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (*.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 x -2/45 (*.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (fma.f64 x 17/315 (*.f64 x -7/135))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (*.f64 x 2/945)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.1b
(/.f64 F (sin.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
0.1b
(/.f64 F (sin.f64 B))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
8.3b
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))

series15.0ms (0%)

Counts
2 → 28
Calls

12 calls:

TimeVariablePointExpression
8.0ms
F
@-inf
(/.f64 F (sin.f64 B))
3.0ms
B
@0
(/.f64 F (sin.f64 B))
1.0ms
F
@0
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))
1.0ms
F
@inf
(/.f64 F (sin.f64 B))
0.0ms
F
@0
(/.f64 F (sin.f64 B))

rewrite55.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
858×pow1_binary64
795×add-log-exp_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
776×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116912
2230012
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F))
(/.f64 F (sin.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (*.f64 F (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 F (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (*.f64 F (sin.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (sin.f64 B) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 F (sin.f64 B)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sin.f64 B) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 F (/.f64 (sin.f64 B) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 F (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F (sin.f64 B)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 (sin.f64 B) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 2) (/.f64 F (cbrt.f64 (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (/.f64 F (sqrt.f64 (/.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sin.f64 B) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 F) (/.f64 (sin.f64 B) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 F) (neg.f64 (*.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 F) (*.f64 (neg.f64 F) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 F) (*.f64 F (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 F (sin.f64 B))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) 1) (*.f64 (neg.f64 (sin.f64 B)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F -1) (*.f64 (sin.f64 B) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) -1) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 F)) (*.f64 (neg.f64 F) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 F)) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (sin.f64 B)) 1) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 F (sin.f64 B)) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) (/.f64 1 F)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 F (sin.f64 B))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 F (sin.f64 B)) -1) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (neg.f64 F)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3) (/.f64 (pow.f64 F -2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 F -2) F) (pow.f64 (/.f64 F (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 2) (cbrt.f64 (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 2) (*.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 F (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) (*.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 F (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 F) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 F) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 F 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (sin.f64 B))))))))

simplify55.0ms (0.2%)

Algorithm
egg-herbie
Rules
497×sub-neg_binary64
458×associate-+l+_binary64
426×unsub-neg_binary64
322×associate-+r+_binary64
315×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047253
1143246
2519238
32255234
47108234
Stop Event
node limit
Counts
110 → 96
Calls
Call 1
Inputs
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 F B)
(+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)))) (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)))) (+.f64 (*.f64 1/6 (*.f64 F B)) (+.f64 (/.f64 F B) (*.f64 -1 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))))))))
Outputs
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 F B)
(+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B))
(fma.f64 1/6 (*.f64 B F) (/.f64 F B))
(fma.f64 B (*.f64 1/6 F) (/.f64 F B))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)))) (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)))
(fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 F -7/360)) (fma.f64 1/6 (*.f64 B F) (/.f64 F B)))
(-.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B)) (*.f64 (pow.f64 B 3) (*.f64 F -7/360)))
(fma.f64 B (*.f64 1/6 F) (fma.f64 (pow.f64 B 3) (*.f64 7/360 F) (/.f64 F B)))
(+.f64 (/.f64 F B) (*.f64 F (fma.f64 B 1/6 (*.f64 7/360 (pow.f64 B 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)))) (+.f64 (*.f64 1/6 (*.f64 F B)) (+.f64 (/.f64 F B) (*.f64 -1 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))))))))
(fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 F -7/360)) (+.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B)) (neg.f64 (*.f64 (pow.f64 B 5) (fma.f64 1/6 (*.f64 F -7/360) (*.f64 F 1/840))))))
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 B F) (/.f64 F B)) (*.f64 (pow.f64 B 5) (fma.f64 F 1/840 (*.f64 F -7/2160)))) (*.f64 (pow.f64 B 3) (*.f64 F -7/360)))
(-.f64 (fma.f64 B (*.f64 1/6 F) (fma.f64 (pow.f64 B 3) (*.f64 7/360 F) (/.f64 F B))) (*.f64 (pow.f64 B 5) (*.f64 F -31/15120)))
(+.f64 (fma.f64 (pow.f64 B 5) (*.f64 F 31/15120) (/.f64 F B)) (*.f64 F (fma.f64 B 1/6 (*.f64 7/360 (pow.f64 B 3)))))

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (cos.f64 B) (sin.f64 B))
0.1b
(/.f64 F (sin.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
0.0b
(cos.f64 B)
0.2b
(/.f64 (cos.f64 B) (sin.f64 B))
0.3b
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
8.3b
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
15.7b
(pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))

series7.0ms (0%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
B
@-inf
(/.f64 (cos.f64 B) (sin.f64 B))
1.0ms
x
@0
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
1.0ms
B
@0
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
1.0ms
B
@inf
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
1.0ms
B
@-inf
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))

rewrite48.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
777×pow1_binary64
715×add-log-exp_binary64
715×log1p-expm1-u_binary64
715×expm1-log1p-u_binary64
698×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
114412
2190012
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (cos.f64 B))) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (tan.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 2) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (*.f64 (cbrt.f64 (cos.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (tan.f64 B))) (sqrt.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 B)) (*.f64 (sqrt.f64 (cos.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 B)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 B)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 B)) 1) (/.f64 (sqrt.f64 (cos.f64 B)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (cos.f64 B) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 (cos.f64 B)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (cos.f64 B)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 B) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))))

simplify48.0ms (0.1%)

Algorithm
egg-herbie
Rules
508×unsub-neg_binary64
428×associate-+l+_binary64
350×associate-*l*_binary64
335×associate-+r+_binary64
314×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056401
1145375
2390351
31530344
45572338
Stop Event
node limit
Counts
81 → 69
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3) (*.f64 B (*.f64 x -1/3))))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 x (*.f64 B -1/3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))) (pow.f64 B 5) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (*.f64 x (*.f64 B -1/3)))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (+.f64 (*.f64 x -1/270) (*.f64 x 1/630)) (pow.f64 B 5) (*.f64 x (*.f64 (pow.f64 B 3) -1/45)))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (*.f64 (*.f64 x -2/945) (pow.f64 B 5)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(fma.f64 (pow.f64 B 3) -1/45 (fma.f64 B -1/3 (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
8.3b
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
0.2b
(/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))
0.2b
(/.f64 (tan.f64 B) (sqrt.f64 x))
0.1b
(/.f64 F (sin.f64 B))
0.2b
(/.f64 (tan.f64 B) (sqrt.f64 x))
0.2b
(/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))
8.3b
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
15.7b
(pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))

series11.0ms (0%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (tan.f64 B) (sqrt.f64 x))
2.0ms
x
@0
(/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))
1.0ms
x
@-inf
(/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))
1.0ms
x
@-inf
(/.f64 (tan.f64 B) (sqrt.f64 x))
1.0ms
B
@inf
(/.f64 (tan.f64 B) (sqrt.f64 x))

rewrite59.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
829×pow1_binary64
770×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
751×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
115214
2209914
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))
(/.f64 (tan.f64 B) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (/.f64 (sqrt.f64 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (neg.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (tan.f64 B)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) (tan.f64 B)) (/.f64 (pow.f64 x 1/4) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (tan.f64 B)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 B) 2) x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 B) 2) x))) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 B) 2) x))) (/.f64 (pow.f64 x 1/4) (cbrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (neg.f64 (tan.f64 B))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) (tan.f64 B)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) (tan.f64 B)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) (tan.f64 B)) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (tan.f64 B) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 B) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 B) 2) x)) (cbrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (*.f64 (cbrt.f64 (tan.f64 B)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))) (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 B)) (*.f64 (sqrt.f64 (tan.f64 B)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (tan.f64 B) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (tan.f64 B) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 B)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 B)) 1) (/.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 B)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 B)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (tan.f64 B)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 B) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 B) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 B) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 B) (sqrt.f64 x))))))))

simplify47.0ms (0.1%)

Algorithm
egg-herbie
Rules
397×distribute-neg-in_binary64
368×cancel-sign-sub-inv_binary64
360×sub-neg_binary64
345×*-commutative_binary64
311×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060567
1166531
2530499
32131497
46360497
Stop Event
node limit
Counts
106 → 90
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (sqrt.f64 (/.f64 1 x)) B)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) B))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 2/15 (*.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) B)))
(+.f64 (*.f64 17/315 (*.f64 (pow.f64 B 7) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 2/15 (*.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) B))))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (fma.f64 -1/3 (*.f64 B x) (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 -1/3 (*.f64 B x) (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) (*.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5)))
(fma.f64 (*.f64 x 2/945) (neg.f64 (pow.f64 B 5)) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 B (*.f64 x -1/3) (/.f64 x B))))
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 B (*.f64 x -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 x)) B)
(*.f64 B (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) B))
(fma.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x))) (*.f64 B (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 B 3) 1/3) B))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 (pow.f64 B 3) 1/3 B))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 2/15 (*.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) B)))
(fma.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x))) (fma.f64 2/15 (*.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 x))) (*.f64 B (sqrt.f64 (/.f64 1 x)))))
(fma.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 B (*.f64 2/15 (pow.f64 B 5)))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 B 3) 1/3) (fma.f64 2/15 (pow.f64 B 5) B)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) (fma.f64 (pow.f64 B 3) 1/3 B)))
(+.f64 (*.f64 17/315 (*.f64 (pow.f64 B 7) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 2/15 (*.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 1 x)) B))))
(fma.f64 17/315 (*.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 B 7)) (fma.f64 1/3 (*.f64 (pow.f64 B 3) (sqrt.f64 (/.f64 1 x))) (fma.f64 2/15 (*.f64 (pow.f64 B 5) (sqrt.f64 (/.f64 1 x))) (*.f64 B (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 B (*.f64 2/15 (pow.f64 B 5)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 17/315 (pow.f64 B 7)) (*.f64 (pow.f64 B 3) 1/3))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (fma.f64 2/15 (pow.f64 B 5) B) (fma.f64 17/315 (pow.f64 B 7) (*.f64 (pow.f64 B 3) 1/3))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (fma.f64 17/315 (pow.f64 B 7) (*.f64 (pow.f64 B 3) 1/3)) (fma.f64 2/15 (pow.f64 B 5) B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))
(*.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (sin.f64 B) (/.f64 (sqrt.f64 (/.f64 1 x)) (cos.f64 B)))

eval659.0ms (1.9%)

Compiler

Compiled 37129 to 20637 computations (44.4% saved)

prune211.0ms (0.6%)

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New1110251135
Fresh15924
Picked101
Done404
Total1130341164
Error
0.0b
Counts
1164 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
27.3b
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
29.7b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
52.9b
(/.f64 1 (sin.f64 B))
10.1b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))
50.9b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
31.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
30.6b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
26.6b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
12.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
31.7b
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
27.3b
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
10.1b
(-.f64 (+.f64 0 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))
35.6b
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))
48.3b
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
31.8b
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
31.7b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
47.6b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
50.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
29.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
27.9b
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
33.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
38.5b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B))))
49.7b
(/.f64 (-.f64 1 x) B)
42.4b
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 -1 (sin.f64 B)))
13.6b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
35.5b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
10.0b
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
28.9b
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
30.8b
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
10.1b
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
13.7b
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
34.3b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
28.9b
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
31.8b
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Compiler

Compiled 1260 to 912 computations (27.6% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
0.2b
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B))
0.2b
(/.f64 x (tan.f64 B))
0.0b
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.2b
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B))
0.3b
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
0.5b
(/.f64 1 (fma.f64 F F 2))
15.1b
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

series9.0ms (0%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
F
@0
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
1.0ms
B
@0
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B))
1.0ms
B
@inf
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B))
1.0ms
F
@0
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B))
1.0ms
F
@0
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))

rewrite66.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
526×log-prod_binary64
409×exp-prod_binary64
314×pow-prod-down_binary64
273×pow2_binary64
192×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
122641
2281341
Stop Event
node limit
Counts
4 → 181
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
(/.f64 1 (fma.f64 F F 2))
(*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B))
Outputs
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(fma.f64 F F 2)) (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) -1/2) (*.f64 F (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F)) -2)) (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 2) (*.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(/.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 1) (/.f64 (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (pow.f64 (fma.f64 F F 2) -1/2) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 F F 2) -1/2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 F (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 F F 2) -1/2) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 F F 2) -1/2) (sqrt.f64 (sin.f64 B))) (/.f64 F (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) 3) (pow.f64 (sin.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))) 2)) (cbrt.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))) (sqrt.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (/.f64 (sin.f64 B) F))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) 1) 1))))))

simplify65.0ms (0.2%)

Algorithm
egg-herbie
Rules
944×fma-neg_binary64
628×fma-def_binary64
381×associate-*r*_binary64
368×associate-*l*_binary64
296×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801565
15331460
216301359
366481357
Stop Event
node limit
Counts
241 → 270
Calls
Call 1
Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 6)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))))))
(/.f64 1 F)
(-.f64 (/.f64 1 F) (/.f64 1 (pow.f64 F 3)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (/.f64 1 (pow.f64 F 3)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)) (+.f64 (/.f64 1 (pow.f64 F 3)) (*.f64 5/2 (/.f64 1 (pow.f64 F 7)))))
(/.f64 -1 F)
(-.f64 (/.f64 1 (pow.f64 F 3)) (/.f64 1 F))
(-.f64 (/.f64 1 (pow.f64 F 3)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 3)) (*.f64 5/2 (/.f64 1 (pow.f64 F 7)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
1/2
(+.f64 (*.f64 -1/4 (pow.f64 F 2)) 1/2)
(+.f64 (*.f64 -1/4 (pow.f64 F 2)) (+.f64 (*.f64 1/8 (pow.f64 F 4)) 1/2))
(+.f64 (*.f64 -1/4 (pow.f64 F 2)) (+.f64 (*.f64 1/8 (pow.f64 F 4)) (+.f64 1/2 (*.f64 -1/16 (pow.f64 F 6)))))
(/.f64 1 (pow.f64 F 2))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 4 (/.f64 1 (pow.f64 F 6)))) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(/.f64 1 (pow.f64 F 2))
(-.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 4 (/.f64 1 (pow.f64 F 6)))) (*.f64 2 (/.f64 1 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 4 (/.f64 1 (pow.f64 F 6)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 F 4))) (*.f64 8 (/.f64 1 (pow.f64 F 8)))))
(*.f64 (sqrt.f64 1/2) F)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1) (/.f64 1 (pow.f64 F 2)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1) (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 5/2 (/.f64 1 (pow.f64 F 6)))))
-1
(-.f64 (/.f64 1 (pow.f64 F 2)) 1)
(-.f64 (/.f64 1 (pow.f64 F 2)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 5/2 (/.f64 1 (pow.f64 F 6)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(-.f64 (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 -1/8 (/.f64 F (/.f64 (sqrt.f64 1/2) F)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 2) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 F F) (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 4) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))
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1/2
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1
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-1
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(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 7) (sqrt.f64 1/2)) (/.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) (sin.f64 B))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (sin.f64 B))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 1/2 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 F 5) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (*.f64 (/.f64 (pow.f64 F 7) (sin.f64 B)) (/.f64 -5/256 (sqrt.f64 1/2))))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 1/2 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (sin.f64 B))) (fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (*.f64 (/.f64 (pow.f64 F 7) (sin.f64 B)) (/.f64 -5/256 (sqrt.f64 1/2))))))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 -1 (*.f64 (*.f64 F F) (sin.f64 B))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B)))))
(+.f64 (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B)))))
(+.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (/.f64 -1 (*.f64 (*.f64 F F) (sin.f64 B)))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))))
(+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))))))
(+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B)))) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B)))))
(+.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 -1 (*.f64 (*.f64 F F) (sin.f64 B)))) (+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (/.f64 (/.f64 -5/2 (pow.f64 F 6)) (sin.f64 B))))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (+.f64 (/.f64 -1 (sin.f64 B)) (/.f64 -3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))))
(-.f64 (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(+.f64 (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))) (-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))))))
(+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (-.f64 (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B)))) (+.f64 (/.f64 -1 (sin.f64 B)) (/.f64 -3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 F B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (/.f64 F B) (*.f64 (*.f64 1/6 F) B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (fma.f64 1/6 (*.f64 F B) (/.f64 F B)))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 F B)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (*.f64 F -7/360) (pow.f64 B 3))))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (/.f64 F B) (*.f64 (*.f64 1/6 F) B))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 F (*.f64 -7/360 (pow.f64 B 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (*.f64 (*.f64 F -7/360) (pow.f64 B 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (*.f64 (pow.f64 B 3) (*.f64 F 7/360))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 F B)) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (fma.f64 1/6 (*.f64 F -7/360) (*.f64 F 1/840)) (pow.f64 B 5))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (*.f64 F -7/360) (pow.f64 B 3)))))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (*.f64 (fma.f64 F 1/840 (*.f64 F -7/2160)) (pow.f64 B 5)) (*.f64 F (*.f64 -7/360 (pow.f64 B 3)))))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (/.f64 F B) (*.f64 (*.f64 1/6 F) B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (fma.f64 (*.f64 F 7/360) (pow.f64 B 3) (*.f64 (*.f64 F -31/15120) (neg.f64 (pow.f64 B 5)))) (fma.f64 1/6 (*.f64 F B) (/.f64 F B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (fma.f64 (*.f64 F -31/15120) (pow.f64 B 5) (*.f64 (*.f64 F -7/360) (pow.f64 B 3)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 x) B)
0.0b
(/.f64 (-.f64 1 x) B)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
B
@0
(/.f64 (-.f64 1 x) B)
1.0ms
x
@inf
(/.f64 (-.f64 1 x) B)
1.0ms
x
@0
(/.f64 (-.f64 1 x) B)
0.0ms
B
@inf
(/.f64 (-.f64 1 x) B)
0.0ms
B
@-inf
(/.f64 (-.f64 1 x) B)

rewrite43.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
756×pow1_binary64
706×add-log-exp_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217957
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))))))

simplify17.0ms (0%)

Algorithm
egg-herbie
Rules
202×fma-def_binary64
125×fma-neg_binary64
42×cancel-sign-sub-inv_binary64
31×distribute-rgt-in_binary64
27×unsub-neg_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
09115
117106
225106
335106
448106
572106
6128106
7250106
848779
972679
1082379
1188679
Stop Event
saturated
Counts
45 → 38
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
0.0b
(+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.3b
(*.f64 1/6 (*.f64 F B))
16.0b
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))

series8.0ms (0%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
F
@0
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))
1.0ms
F
@inf
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))
1.0ms
F
@-inf
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))
1.0ms
B
@0
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))
1.0ms
B
@-inf
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))

rewrite60.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
612×log-prod_binary64
433×pow-prod-down_binary64
334×fma-def_binary64
301×pow2_binary64
216×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
124021
2330821
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F))
(*.f64 1/6 (*.f64 F B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 1 F)) (pow.f64 (*.f64 (/.f64 B F) F) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (/.f64 B F) F) -1) (*.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 F) (*.f64 F (*.f64 B 1/6))) (*.f64 (/.f64 1 F) (/.f64 F B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 F) (/.f64 F B)) (*.f64 (/.f64 1 F) (*.f64 F (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 F (fma.f64 1/6 (*.f64 F B) (/.f64 F B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B))) 2) (/.f64 F (cbrt.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B))) (/.f64 F (sqrt.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 F B) 3) 1/216 (pow.f64 (/.f64 B F) -3)) (*.f64 F (fma.f64 (/.f64 F B) (-.f64 (/.f64 F B) (*.f64 F (*.f64 B 1/6))) (pow.f64 (*.f64 F (*.f64 B 1/6)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) (pow.f64 (/.f64 B F) -2)) (*.f64 F (-.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 F B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 F B) 3) 1/216 (pow.f64 (/.f64 B F) -3)) 1) (*.f64 (fma.f64 (/.f64 F B) (-.f64 (/.f64 F B) (*.f64 F (*.f64 B 1/6))) (pow.f64 (*.f64 F (*.f64 B 1/6)) 2)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) (pow.f64 (/.f64 B F) -2)) 1) (*.f64 (-.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 F B)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 F B) 3) 1/216 (pow.f64 (/.f64 B F) -3)) -1) (*.f64 (fma.f64 (/.f64 F B) (-.f64 (/.f64 F B) (*.f64 F (*.f64 B 1/6))) (pow.f64 (*.f64 F (*.f64 B 1/6)) 2)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) (pow.f64 (/.f64 B F) -2)) -1) (*.f64 (-.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 F B)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 (pow.f64 (*.f64 F B) 3) 1/216 (pow.f64 (/.f64 B F) -3))) (*.f64 (neg.f64 F) (fma.f64 (/.f64 F B) (-.f64 (/.f64 F B) (*.f64 F (*.f64 B 1/6))) (pow.f64 (*.f64 F (*.f64 B 1/6)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) (pow.f64 (/.f64 B F) -2))) (*.f64 (neg.f64 F) (-.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 F B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (sqrt.f64 F)) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) 1) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 F B) 3) 1/216 (pow.f64 (/.f64 B F) -3)) (/.f64 1 F)) (fma.f64 (/.f64 F B) (-.f64 (/.f64 F B) (*.f64 F (*.f64 B 1/6))) (pow.f64 (*.f64 F (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) (pow.f64 (/.f64 B F) -2)) (/.f64 1 F)) (-.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 F B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 1/6 (*.f64 F B) (/.f64 F B))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) -1) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (fma.f64 (pow.f64 (*.f64 F B) 3) 1/216 (pow.f64 (/.f64 B F) -3))) (fma.f64 (/.f64 F B) (-.f64 (/.f64 F B) (*.f64 F (*.f64 B 1/6))) (pow.f64 (*.f64 F (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (-.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) (pow.f64 (/.f64 B F) -2))) (-.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 F B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) 3) (pow.f64 F 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (fma.f64 1/6 (*.f64 F B) (/.f64 F B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 1 F) (pow.f64 (*.f64 (/.f64 B F) F) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 F B) (/.f64 1 F) (*.f64 (*.f64 F (*.f64 B 1/6)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 F) (*.f64 F (*.f64 B 1/6)) (*.f64 (/.f64 1 F) (/.f64 F B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 F) (/.f64 F B) (*.f64 (/.f64 1 F) (*.f64 F (*.f64 B 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 F (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 F) (*.f64 B 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 F) (*.f64 B 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 F) (*.f64 B 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 F) (*.f64 B 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 F (*.f64 B 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 F (*.f64 B 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 F (*.f64 B 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 F B) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F (*.f64 B 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 F) (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 F (*.f64 B 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 F B) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 F (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 F (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 F (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 F (*.f64 B 1/6))) 1))))))

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
66×fma-neg_binary64
61×fma-def_binary64
28×associate-/l*_binary64
22×associate-/r*_binary64
19×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012180
123180
240180
374180
4125180
5191180
6259180
7312180
8335180
9339180
10347180
11373180
12439180
13459180
14477180
Stop Event
saturated
Counts
91 → 72
Calls
Call 1
Inputs
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
Outputs
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (/.f64 1 B))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (/.f64 1 B))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (/.f64 1 B))
(*.f64 -1 (-.f64 (*.f64 -1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (/.f64 1 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.1b
(*.f64 F (sin.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
0.1b
(*.f64 F (sin.f64 B))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
5.0b
(/.f64 F (*.f64 F (sin.f64 B)))

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
F
@0
(*.f64 F (sin.f64 B))
0.0ms
B
@0
(*.f64 F (sin.f64 B))
0.0ms
F
@inf
(*.f64 F (sin.f64 B))
0.0ms
F
@-inf
(*.f64 F (sin.f64 B))
0.0ms
B
@-inf
(*.f64 F (sin.f64 B))

rewrite44.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
688×pow1_binary64
636×add-log-exp_binary64
636×log1p-expm1-u_binary64
636×expm1-log1p-u_binary64
621×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
112512
2172412
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(/.f64 F (*.f64 F (sin.f64 B)))
(*.f64 F (sin.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 (/.f64 1 (sin.f64 B)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 2) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 (/.f64 1 (sin.f64 B)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 1 (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (/.f64 (/.f64 1 (sin.f64 B)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (*.f64 (sin.f64 B) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 B)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 F (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) F) (/.f64 (cbrt.f64 F) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) F) (/.f64 (sqrt.f64 F) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (sin.f64 B)) (/.f64 (sqrt.f64 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sin.f64 B)) (/.f64 (cbrt.f64 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (*.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (*.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 F (sin.f64 B))) 2)) (/.f64 F (cbrt.f64 (*.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (*.f64 F (sin.f64 B))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (pow.f64 (cbrt.f64 (*.f64 F (sin.f64 B))) 2)) (/.f64 (sqrt.f64 F) (cbrt.f64 (*.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 F (sin.f64 B)))) (/.f64 F (sqrt.f64 (*.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (*.f64 F (sin.f64 B)))) (/.f64 (cbrt.f64 F) (sqrt.f64 (*.f64 F (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (*.f64 (sin.f64 B) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 F 3) (pow.f64 (*.f64 F (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 0 (log.f64 (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 F (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 F (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 F (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 F) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 F (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 F 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 F (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 F (sin.f64 B))))))))

simplify102.0ms (0.3%)

Algorithm
egg-herbie
Rules
1144×fma-def_binary64
711×sqr-pow_binary64
690×unswap-sqr_binary64
605×cube-prod_binary64
385×*-commutative_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
041365
1107365
2264362
3758351
41816351
52120351
62334351
72782351
83669351
93812347
104606347
114992347
125588347
136461347
147568347
Stop Event
node limit
Counts
97 → 66
Calls
Call 1
Inputs
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 F B)
(+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))
(+.f64 (*.f64 F B) (+.f64 (*.f64 -1/6 (*.f64 F (pow.f64 B 3))) (*.f64 1/120 (*.f64 F (pow.f64 B 5)))))
(+.f64 (*.f64 F B) (+.f64 (*.f64 -1/6 (*.f64 F (pow.f64 B 3))) (+.f64 (*.f64 -1/5040 (*.f64 F (pow.f64 B 7))) (*.f64 1/120 (*.f64 F (pow.f64 B 5))))))
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
Outputs
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B)))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 F B)
(*.f64 B F)
(+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))
(fma.f64 F B (*.f64 -1/6 (*.f64 (pow.f64 B 3) F)))
(fma.f64 B F (*.f64 (pow.f64 B 3) (*.f64 F -1/6)))
(*.f64 F (+.f64 B (*.f64 (pow.f64 B 3) -1/6)))
(*.f64 F (fma.f64 (pow.f64 B 3) -1/6 B))
(+.f64 (*.f64 F B) (+.f64 (*.f64 -1/6 (*.f64 F (pow.f64 B 3))) (*.f64 1/120 (*.f64 F (pow.f64 B 5)))))
(fma.f64 F B (fma.f64 -1/6 (*.f64 (pow.f64 B 3) F) (*.f64 1/120 (*.f64 (pow.f64 B 5) F))))
(fma.f64 B F (fma.f64 -1/6 (*.f64 (pow.f64 B 3) F) (*.f64 (pow.f64 B 5) (*.f64 F 1/120))))
(fma.f64 (pow.f64 B 5) (*.f64 F 1/120) (*.f64 F (+.f64 B (*.f64 (pow.f64 B 3) -1/6))))
(*.f64 F (+.f64 (*.f64 (pow.f64 B 5) 1/120) (fma.f64 (pow.f64 B 3) -1/6 B)))
(*.f64 F (+.f64 B (fma.f64 (pow.f64 B 3) -1/6 (*.f64 (pow.f64 B 5) 1/120))))
(*.f64 F (fma.f64 (pow.f64 B 3) -1/6 (fma.f64 (pow.f64 B 5) 1/120 B)))
(+.f64 (*.f64 F B) (+.f64 (*.f64 -1/6 (*.f64 F (pow.f64 B 3))) (+.f64 (*.f64 -1/5040 (*.f64 F (pow.f64 B 7))) (*.f64 1/120 (*.f64 F (pow.f64 B 5))))))
(fma.f64 F B (fma.f64 -1/6 (*.f64 (pow.f64 B 3) F) (fma.f64 -1/5040 (*.f64 F (pow.f64 B 7)) (*.f64 1/120 (*.f64 (pow.f64 B 5) F)))))
(fma.f64 B F (fma.f64 -1/6 (*.f64 (pow.f64 B 3) F) (fma.f64 1/120 (*.f64 (pow.f64 B 5) F) (*.f64 (pow.f64 B 7) (*.f64 F -1/5040)))))
(fma.f64 B F (fma.f64 (pow.f64 B 3) (*.f64 F -1/6) (*.f64 F (+.f64 (*.f64 (pow.f64 B 5) 1/120) (*.f64 -1/5040 (pow.f64 B 7))))))
(*.f64 F (+.f64 (fma.f64 (pow.f64 B 5) 1/120 (*.f64 -1/5040 (pow.f64 B 7))) (fma.f64 (pow.f64 B 3) -1/6 B)))
(*.f64 F (+.f64 (fma.f64 (pow.f64 B 3) -1/6 B) (fma.f64 (pow.f64 B 5) 1/120 (*.f64 -1/5040 (pow.f64 B 7)))))
(*.f64 F (+.f64 (fma.f64 (pow.f64 B 5) 1/120 B) (fma.f64 -1/5040 (pow.f64 B 7) (*.f64 (pow.f64 B 3) -1/6))))
(*.f64 F (fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 3) -1/6 B))))
(*.f64 F (fma.f64 (pow.f64 B 3) -1/6 (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 5) 1/120 B))))
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)
(*.f64 (sin.f64 B) F)

localize23.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(+.f64 1 (/.f64 1 (tan.f64 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.1b
(/.f64 F (sin.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
0.3b
(*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))
0.3b
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)
8.3b
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
15.7b
(pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
B
@0
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)
0.0ms
B
@0
(*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))
0.0ms
B
@inf
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)
0.0ms
x
@inf
(*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))
0.0ms
B
@-inf
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)

rewrite51.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
980×pow1_binary64
912×add-log-exp_binary64
912×log1p-expm1-u_binary64
912×expm1-log1p-u_binary64
104×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
120015
2268615
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)
(*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (tan.f64 B)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (tan.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (tan.f64 B)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (+.f64 (/.f64 1 (tan.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 B)) -1) (pow.f64 (sqrt.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (tan.f64 B) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (tan.f64 B) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (+.f64 (/.f64 1 (tan.f64 B)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (tan.f64 B)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (tan.f64 B) -1/2) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (+.f64 (/.f64 1 (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1) (+.f64 (/.f64 1 (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (+.f64 (/.f64 1 (tan.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (tan.f64 B)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (tan.f64 B)) -1) (+.f64 (/.f64 1 (tan.f64 B)) -1)) (+.f64 (/.f64 1 (tan.f64 B)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (tan.f64 B)) -1) (+.f64 (/.f64 1 (tan.f64 B)) -1))) (-.f64 1 (+.f64 (/.f64 1 (tan.f64 B)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (tan.f64 B)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (tan.f64 B)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (tan.f64 B) -1/2)) (hypot.f64 1 (pow.f64 (tan.f64 B) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 (/.f64 1 (tan.f64 B)) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (+.f64 (/.f64 1 (tan.f64 B)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1 (/.f64 1 (tan.f64 B)))) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (tan.f64 B)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1) x) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (+.f64 (/.f64 1 (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1) x) (+.f64 (/.f64 1 (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) (+.f64 (/.f64 1 (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 2) -1)) (+.f64 (/.f64 1 (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (tan.f64 B)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (tan.f64 B)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (tan.f64 B) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (tan.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (tan.f64 B)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 B) -3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)))))))

simplify51.0ms (0.1%)

Algorithm
egg-herbie
Rules
683×distribute-rgt-neg-in_binary64
626×associate-*l*_binary64
494×associate-*r*_binary64
374×distribute-neg-in_binary64
371×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049426
1130412
2390402
31630398
46370398
Stop Event
node limit
Counts
106 → 87
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 -1/45 (pow.f64 B 3) (fma.f64 B -1/3 (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(fma.f64 B (*.f64 -1/3 x) (/.f64 x B))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (fma.f64 -1/3 (*.f64 B x) (/.f64 x B)) (*.f64 (pow.f64 B 3) (*.f64 x 1/45)))
(fma.f64 B (*.f64 -1/3 x) (fma.f64 (pow.f64 B 3) (*.f64 -1/45 x) (/.f64 x B)))
(+.f64 (/.f64 x B) (*.f64 x (fma.f64 B -1/3 (*.f64 -1/45 (pow.f64 B 3)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (*.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))))) (fma.f64 -1 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 -1/3 (*.f64 B x) (/.f64 x B)) (*.f64 (pow.f64 B 3) (*.f64 x 1/45))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))))
(-.f64 (fma.f64 B (*.f64 -1/3 x) (/.f64 x B)) (fma.f64 (pow.f64 B 5) (*.f64 x 2/945) (*.f64 (pow.f64 B 3) (*.f64 x 1/45))))
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (*.f64 x (fma.f64 B -1/3 (*.f64 -1/45 (pow.f64 B 3))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))

eval375.0ms (1.1%)

Compiler

Compiled 21593 to 13178 computations (39% saved)

prune177.0ms (0.5%)

Pruning

50 alts after pruning (49 fresh and 1 done)

PrunedKeptTotal
New76629795
Fresh92029
Picked101
Done314
Total77950829
Error
0.0b
Counts
829 → 50
Alt Table
Click to see full alt table
StatusErrorProgram
10.1b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) (/.f64 x (tan.f64 B)))
52.9b
(/.f64 1 (sin.f64 B))
28.0b
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
27.2b
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
30.6b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
46.8b
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
26.6b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
49.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
12.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
30.8b
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
35.5b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
58.1b
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
30.6b
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
35.6b
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))
50.5b
(/.f64 (neg.f64 x) B)
48.3b
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
39.5b
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
29.7b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
31.8b
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
31.7b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
60.3b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
49.7b
(*.f64 (/.f64 1 B) (-.f64 1 x))
50.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
56.4b
(/.f64 1 B)
27.9b
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
29.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
33.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
38.5b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B))))
49.7b
(/.f64 (-.f64 1 x) B)
42.4b
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 -1 (sin.f64 B)))
13.6b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
54.5b
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
10.1b
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
59.2b
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
27.2b
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
34.3b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
54.4b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
54.5b
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
49.7b
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
10.1b
(-.f64 (*.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 1) (/.f64 x (tan.f64 B)))
28.9b
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
55.0b
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
34.3b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
28.9b
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
57.7b
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
10.1b
(-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
31.8b
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
49.9b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
42.9b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
30.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
Compiler

Compiled 1668 to 1216 computations (27.1% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 F (sqrt.f64 (fma.f64 F F 2)))
0.2b
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
0.2b
(/.f64 x (tan.f64 B))
0.0b
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.2b
(/.f64 x (tan.f64 B))
0.2b
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
0.2b
(/.f64 F (sqrt.f64 (fma.f64 F F 2)))
15.7b
(sqrt.f64 (fma.f64 F F 2))

series5.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
F
@0
(sqrt.f64 (fma.f64 F F 2))
0.0ms
F
@inf
(sqrt.f64 (fma.f64 F F 2))
0.0ms
F
@-inf
(sqrt.f64 (fma.f64 F F 2))
0.0ms
B
@0
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
0.0ms
F
@0
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))

rewrite66.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
486×log-prod_binary64
373×exp-prod_binary64
356×prod-exp_binary64
295×pow-prod-down_binary64
251×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119232
2256732
Stop Event
node limit
Counts
3 → 151
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 F F 2))
(/.f64 F (sqrt.f64 (fma.f64 F F 2)))
(/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 F F 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 F F 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 F F 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 F F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) 1/6) (cbrt.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 F F 2)) (pow.f64 (fma.f64 F F 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) 1/4) (pow.f64 (fma.f64 F F 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 F F 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 F F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 F F 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 F F 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 F F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 F F 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 F F 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 F F 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 F F 2) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 F F 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 F F 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 F F 2)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 F F 2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (pow.f64 (fma.f64 F F 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (cbrt.f64 (/.f64 (*.f64 F F) (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 F F) (fma.f64 F F 2))) (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (pow.f64 (fma.f64 F F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) -1/2) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (sqrt.f64 (fma.f64 F F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 F F 2))) (/.f64 F (pow.f64 (fma.f64 F F 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (fma.f64 F F 2))) (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (cbrt.f64 (fma.f64 F F 2))) (/.f64 (sqrt.f64 F) (pow.f64 (fma.f64 F F 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 F F 2) -1/4) (/.f64 F (pow.f64 (fma.f64 F F 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (fma.f64 F F 2) 1/4)) (/.f64 (cbrt.f64 F) (pow.f64 (fma.f64 F F 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 F F) (fma.f64 F F 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 F F 2)) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 F 3) (pow.f64 (fma.f64 F F 2) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 F F 2)) F) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))) 2)) (cbrt.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))))) (sqrt.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))))))))) (#(struct:change #<rule egg-rr> 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(sin.f64 B)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 F) 1) (log.f64 (*.f64 (sqrt.f64 (fma.f64 F F 2)) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 1) (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (*.f64 (log.f64 (sin.f64 B)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 1) (*.f64 (log.f64 (sin.f64 B)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 1) (neg.f64 (log.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 B))) (*.f64 (log.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) 1)))))))

simplify62.0ms (0.2%)

Algorithm
egg-herbie
Rules
940×fma-neg_binary64
575×fma-def_binary64
303×associate-*l*_binary64
300×associate-*r*_binary64
269×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01601270
14791165
214881084
360791082
Stop Event
node limit
Counts
199 → 226
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 (pow.f64 F 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 F 2) (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 F 4) (pow.f64 (sqrt.f64 2) 3)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 F 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/16 (/.f64 (pow.f64 F 6) (pow.f64 (sqrt.f64 2) 5))))))
F
(+.f64 F (/.f64 1 F))
(-.f64 (+.f64 F (/.f64 1 F)) (*.f64 1/2 (/.f64 1 (pow.f64 F 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 F 5))) (+.f64 F (/.f64 1 F))) (*.f64 1/2 (/.f64 1 (pow.f64 F 3))))
(*.f64 -1 F)
(-.f64 (*.f64 -1 F) (/.f64 1 F))
(-.f64 (+.f64 (*.f64 -1 F) (*.f64 1/2 (/.f64 1 (pow.f64 F 3)))) (/.f64 1 F))
(-.f64 (+.f64 (*.f64 -1 F) (*.f64 1/2 (/.f64 1 (pow.f64 F 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(*.f64 (sqrt.f64 1/2) F)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1) (/.f64 1 (pow.f64 F 2)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1) (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 5/2 (/.f64 1 (pow.f64 F 6)))))
-1
(-.f64 (/.f64 1 (pow.f64 F 2)) 1)
(-.f64 (/.f64 1 (pow.f64 F 2)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 5/2 (/.f64 1 (pow.f64 F 6)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(-.f64 (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 (pow.f64 F 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 (*.f64 F F) (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 F (/.f64 (sqrt.f64 2) F)) (sqrt.f64 2))
(fma.f64 1/2 (*.f64 (/.f64 F (sqrt.f64 2)) F) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 F 2) (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 F 4) (pow.f64 (sqrt.f64 2) 3)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (*.f64 F F) (sqrt.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 F 4) (pow.f64 (sqrt.f64 2) 3)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 F (/.f64 (sqrt.f64 2) F)) (*.f64 -1/16 (/.f64 (pow.f64 F 4) (sqrt.f64 2)))))
(fma.f64 1/2 (*.f64 (/.f64 F (sqrt.f64 2)) F) (fma.f64 -1/16 (/.f64 (pow.f64 F 4) (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 F 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/16 (/.f64 (pow.f64 F 6) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (*.f64 F F) (sqrt.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 F 4) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/16 (/.f64 (pow.f64 F 6) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (fma.f64 1/2 (/.f64 F (/.f64 (sqrt.f64 2) F)) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 F 6) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (pow.f64 F 4) (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 F (sqrt.f64 2)) F) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 F 6) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (pow.f64 F 4) (sqrt.f64 2)))))
F
(+.f64 F (/.f64 1 F))
(-.f64 (+.f64 F (/.f64 1 F)) (*.f64 1/2 (/.f64 1 (pow.f64 F 3))))
(+.f64 F (-.f64 (/.f64 1 F) (/.f64 1/2 (pow.f64 F 3))))
(+.f64 F (+.f64 (/.f64 1 F) (/.f64 -1/2 (pow.f64 F 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 F 5))) (+.f64 F (/.f64 1 F))) (*.f64 1/2 (/.f64 1 (pow.f64 F 3))))
(+.f64 (/.f64 1/2 (pow.f64 F 5)) (+.f64 F (-.f64 (/.f64 1 F) (/.f64 1/2 (pow.f64 F 3)))))
(+.f64 (+.f64 F (/.f64 1 F)) (-.f64 (/.f64 1/2 (pow.f64 F 5)) (/.f64 1/2 (pow.f64 F 3))))
(+.f64 F (-.f64 (+.f64 (/.f64 1 F) (/.f64 1/2 (pow.f64 F 5))) (/.f64 1/2 (pow.f64 F 3))))
(+.f64 F (+.f64 (+.f64 (/.f64 1 F) (/.f64 1/2 (pow.f64 F 5))) (/.f64 -1/2 (pow.f64 F 3))))
(*.f64 -1 F)
(neg.f64 F)
(-.f64 (*.f64 -1 F) (/.f64 1 F))
(-.f64 (neg.f64 F) (/.f64 1 F))
(fma.f64 F -1 (/.f64 -1 F))
(-.f64 (/.f64 -1 F) F)
(-.f64 (+.f64 (*.f64 -1 F) (*.f64 1/2 (/.f64 1 (pow.f64 F 3)))) (/.f64 1 F))
(-.f64 (fma.f64 -1 F (/.f64 1/2 (pow.f64 F 3))) (/.f64 1 F))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 F 3)) F) (/.f64 -1 F))
(+.f64 (/.f64 1/2 (pow.f64 F 3)) (-.f64 (/.f64 -1 F) F))
(-.f64 (+.f64 (*.f64 -1 F) (*.f64 1/2 (/.f64 1 (pow.f64 F 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 F 5))) (/.f64 1 F)))
(-.f64 (fma.f64 -1 F (/.f64 1/2 (pow.f64 F 3))) (+.f64 (/.f64 1 F) (/.f64 1/2 (pow.f64 F 5))))
(-.f64 (-.f64 (/.f64 1/2 (pow.f64 F 3)) F) (+.f64 (/.f64 1 F) (/.f64 1/2 (pow.f64 F 5))))
(+.f64 (/.f64 1/2 (pow.f64 F 3)) (-.f64 (-.f64 (/.f64 -1 F) F) (/.f64 1/2 (pow.f64 F 5))))
(*.f64 (sqrt.f64 1/2) F)
(*.f64 F (sqrt.f64 1/2))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (*.f64 F (sqrt.f64 1/2)))
(fma.f64 F (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))))
(fma.f64 F (sqrt.f64 1/2) (*.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (pow.f64 F 3)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F)))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (fma.f64 1/2 (/.f64 (pow.f64 F 5) (/.f64 (sqrt.f64 1/2) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)))) (*.f64 F (sqrt.f64 1/2))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 F (sqrt.f64 1/2))))
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 F (sqrt.f64 1/2) (*.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (pow.f64 F 3))))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 F (sqrt.f64 1/2) (*.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (pow.f64 F 3))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) F))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (fma.f64 1/2 (/.f64 (pow.f64 F 5) (/.f64 (sqrt.f64 1/2) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)))) (fma.f64 -1/2 (/.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 F 7))) (*.f64 F (sqrt.f64 1/2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (fma.f64 F (sqrt.f64 1/2) (/.f64 (*.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) -1/2) (/.f64 (sqrt.f64 1/2) (pow.f64 F 7))))))
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (fma.f64 F (sqrt.f64 1/2) (*.f64 (/.f64 -5/256 (sqrt.f64 1/2)) (pow.f64 F 7)))))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 -1/8 (/.f64 (pow.f64 F 3) (sqrt.f64 1/2)) (fma.f64 F (sqrt.f64 1/2) (*.f64 (/.f64 -5/256 (sqrt.f64 1/2)) (pow.f64 F 7)))))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(-.f64 1 (/.f64 (/.f64 1 F) F))
(+.f64 1 (/.f64 -1 (*.f64 F F)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1) (/.f64 1 (pow.f64 F 2)))
(+.f64 (/.f64 3/2 (pow.f64 F 4)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(+.f64 1 (+.f64 (/.f64 3/2 (pow.f64 F 4)) (/.f64 -1 (*.f64 F F))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1) (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 5/2 (/.f64 1 (pow.f64 F 6)))))
(-.f64 (+.f64 1 (/.f64 3/2 (pow.f64 F 4))) (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 5/2 (pow.f64 F 6))))
(+.f64 (/.f64 3/2 (pow.f64 F 4)) (-.f64 (-.f64 1 (/.f64 (/.f64 1 F) F)) (/.f64 5/2 (pow.f64 F 6))))
(+.f64 (/.f64 3/2 (pow.f64 F 4)) (+.f64 1 (+.f64 (/.f64 -1 (*.f64 F F)) (/.f64 -5/2 (pow.f64 F 6)))))
-1
(-.f64 (/.f64 1 (pow.f64 F 2)) 1)
(+.f64 (/.f64 1 (*.f64 F F)) -1)
(+.f64 -1 (/.f64 (/.f64 1 F) F))
(+.f64 -1 (/.f64 1 (*.f64 F F)))
(-.f64 (/.f64 1 (pow.f64 F 2)) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1))
(-.f64 (/.f64 1 (*.f64 F F)) (+.f64 1 (/.f64 3/2 (pow.f64 F 4))))
(+.f64 (-.f64 (/.f64 (/.f64 1 F) F) (/.f64 3/2 (pow.f64 F 4))) -1)
(+.f64 -1 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 -3/2 (pow.f64 F 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 F 2)) (*.f64 5/2 (/.f64 1 (pow.f64 F 6)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 F 4))) 1))
(-.f64 (+.f64 (/.f64 1 (*.f64 F F)) (/.f64 5/2 (pow.f64 F 6))) (+.f64 1 (/.f64 3/2 (pow.f64 F 4))))
(+.f64 (/.f64 (/.f64 1 F) F) (-.f64 (/.f64 5/2 (pow.f64 F 6)) (+.f64 1 (/.f64 3/2 (pow.f64 F 4)))))
(+.f64 -1 (+.f64 (/.f64 1 (*.f64 F F)) (+.f64 (/.f64 5/2 (pow.f64 F 6)) (/.f64 -3/2 (pow.f64 F 4)))))
(/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))
(/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))
(*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))
(fma.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (/.f64 (pow.f64 F 3) (sin.f64 B)) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (sin.f64 B))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F))))
(fma.f64 (/.f64 1/2 (sin.f64 B)) (*.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (/.f64 (pow.f64 F 3) (sin.f64 B)) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))
(fma.f64 (/.f64 1/2 (sin.f64 B)) (*.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (/.f64 (pow.f64 F 3) (sin.f64 B)) (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sin.f64 B) (sqrt.f64 1/2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 F 7)) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 F 5) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (sin.f64 B)))) (/.f64 (*.f64 (sqrt.f64 1/2) F) (sin.f64 B)))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (/.f64 (pow.f64 F 7) (sin.f64 B))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (sqrt.f64 1/2)) (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (sin.f64 B))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 F 7) (sqrt.f64 1/2)) (/.f64 (fma.f64 -1/8 (-.f64 1/4 (/.f64 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2) 1/2)) 1/16) (sin.f64 B))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 F 5) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2))) (/.f64 (sqrt.f64 1/2) (/.f64 (sin.f64 B) F)))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 (/.f64 1/2 (sin.f64 B)) (*.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (*.f64 (/.f64 (pow.f64 F 7) (sin.f64 B)) (/.f64 -5/256 (sqrt.f64 1/2))))))
(fma.f64 -1/8 (/.f64 (pow.f64 F 3) (*.f64 (sqrt.f64 1/2) (sin.f64 B))) (fma.f64 (/.f64 1/2 (sin.f64 B)) (*.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 -1/64 (sqrt.f64 1/2)) 1/2)) (pow.f64 F 5)) (fma.f64 (/.f64 (sqrt.f64 1/2) (sin.f64 B)) F (*.f64 (/.f64 (pow.f64 F 7) (sin.f64 B)) (/.f64 -5/256 (sqrt.f64 1/2))))))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 -1 (*.f64 (*.f64 F F) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (/.f64 -1 (*.f64 F F)) (sin.f64 B)))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))
(+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B)))))
(+.f64 (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B)))))
(+.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (/.f64 (/.f64 -1 (*.f64 F F)) (sin.f64 B))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))) (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))))
(-.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))) (+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B)))))
(+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))))))
(+.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))) (+.f64 (/.f64 (/.f64 -1 (*.f64 F F)) (sin.f64 B)) (/.f64 (/.f64 -5/2 (pow.f64 F 6)) (sin.f64 B)))))
(/.f64 -1 (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(+.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 -1 (sin.f64 B)))
(+.f64 (/.f64 1 (*.f64 F (*.f64 F (sin.f64 B)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))) (/.f64 -1 (sin.f64 B)))
(+.f64 (/.f64 1 (*.f64 F (*.f64 F (sin.f64 B)))) (+.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (/.f64 -3/2 (pow.f64 F 4)) (sin.f64 B))))
(-.f64 (+.f64 (*.f64 5/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 6)))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2)))) (+.f64 (*.f64 3/2 (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 4)))) (/.f64 1 (sin.f64 B))))
(+.f64 (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))) (-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))))))
(+.f64 (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))) (+.f64 (-.f64 (/.f64 1 (*.f64 (*.f64 F F) (sin.f64 B))) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B)))) (/.f64 -1 (sin.f64 B))))
(+.f64 (/.f64 1 (*.f64 F (*.f64 F (sin.f64 B)))) (+.f64 (/.f64 5/2 (*.f64 (pow.f64 F 6) (sin.f64 B))) (+.f64 (/.f64 -1 (sin.f64 B)) (/.f64 (/.f64 -3/2 (pow.f64 F 4)) (sin.f64 B)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (fma.f64 F F 2))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 F B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (/.f64 F B) (*.f64 1/6 (*.f64 F B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (fma.f64 1/6 (*.f64 F B) (/.f64 F B)))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 F B)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (*.f64 F -7/360) (pow.f64 B 3))))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (/.f64 F B) (*.f64 1/6 (*.f64 F B)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (*.f64 (*.f64 F -7/360) (pow.f64 B 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (*.f64 (*.f64 F -7/360) (pow.f64 B 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (*.f64 (pow.f64 B 3) (*.f64 F 7/360))))
(+.f64 (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2)))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (+.f64 (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F))) (+.f64 (*.f64 1/720 F) (*.f64 -1/5040 F))) (pow.f64 B 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (*.f64 -1 (*.f64 (*.f64 (+.f64 (*.f64 1/120 F) (*.f64 -1/36 F)) (pow.f64 B 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))))))
(fma.f64 (/.f64 F B) (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 F B)) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (fma.f64 1/6 (*.f64 F -7/360) (*.f64 F 1/840)) (pow.f64 B 5))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (*.f64 (*.f64 F -7/360) (pow.f64 B 3)))))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (*.f64 (fma.f64 F 1/840 (*.f64 F -7/2160)) (pow.f64 B 5)) (*.f64 (*.f64 F -7/360) (pow.f64 B 3))))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (/.f64 F B) (*.f64 1/6 (*.f64 F B)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (+.f64 (neg.f64 (fma.f64 (*.f64 F -31/15120) (pow.f64 B 5) (*.f64 (*.f64 F -7/360) (pow.f64 B 3)))) (fma.f64 1/6 (*.f64 F B) (/.f64 F B))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (-.f64 (fma.f64 1/6 (*.f64 F B) (/.f64 F B)) (fma.f64 (*.f64 F -31/15120) (pow.f64 B 5) (*.f64 (*.f64 F -7/360) (pow.f64 B 3)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 F F)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 F (sin.f64 B)))
(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F))

localize2.0ms (0%)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
B
@0
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
1.0ms
x
@0
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
0.0ms
B
@-inf
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
0.0ms
x
@inf
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
0.0ms
B
@inf
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))

rewrite56.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
518×log-prod_binary64
386×fma-def_binary64
307×pow-prod-down_binary64
260×pow2_binary64
216×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
122212
2312912
Stop Event
node limit
Counts
1 → 100
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) (/.f64 (pow.f64 B -2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 B) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 2)) (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) (sqrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 B -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 B -2)) (/.f64 (/.f64 x (tan.f64 B)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 B -2)) (/.f64 1 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 B -2)) (/.f64 (/.f64 x (tan.f64 B)) B)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 B -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) 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simplify43.0ms (0.1%)

Algorithm
egg-herbie
Rules
718×associate-+l+_binary64
717×associate--l+_binary64
508×associate-+r+_binary64
407×fma-neg_binary64
361×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047424
1126402
2337396
31345392
44716392
Stop Event
node limit
Counts
124 → 113
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 (-.f64 1 x) B))
(fma.f64 1/3 (*.f64 B x) (/.f64 (-.f64 1 x) B))
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (*.f64 B x) (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 1/3 (*.f64 B x) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (*.f64 x 1/3) (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (*.f64 x 1/3) (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (*.f64 B x) (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 1/3 (*.f64 B x) (+.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (*.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (*.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (*.f64 (fma.f64 x 17/315 (*.f64 x -7/135)) (pow.f64 B 5)) (fma.f64 B (*.f64 x 1/3) (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(+.f64 (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (*.f64 (*.f64 x 2/945) (pow.f64 B 5))) (fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (*.f64 x 1/3) (+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (*.f64 (*.f64 x (pow.f64 B 5)) 2/945))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
0.1b
(*.f64 (cos.f64 B) x)
0.0b
(cos.f64 B)
0.0b
(cos.f64 B)
0.1b
(*.f64 (cos.f64 B) x)
0.2b
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

series6.0ms (0%)

Counts
3 → 12
Calls

15 calls:

TimeVariablePointExpression
1.0ms
B
@0
(*.f64 (cos.f64 B) x)
1.0ms
B
@0
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
0.0ms
x
@inf
(*.f64 (cos.f64 B) x)
0.0ms
x
@-inf
(*.f64 (cos.f64 B) x)
0.0ms
B
@-inf
(*.f64 (cos.f64 B) x)

rewrite64.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
808×pow1_binary64
746×add-log-exp_binary64
746×log1p-expm1-u_binary64
746×expm1-log1p-u_binary64
729×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114420
2195820
Stop Event
node limit
Counts
3 → 70
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (*.f64 x (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 B) x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) (sqrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) 1) (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (cos.f64 B) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (cos.f64 B) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (*.f64 (cos.f64 B) x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))) (/.f64 x (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sin.f64 B))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 (*.f64 (cos.f64 B) x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 B) (cos.f64 B)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 B) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 B)) (pow.f64 (cbrt.f64 (cos.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (cbrt.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 B)) (sqrt.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 B)))))))

simplify51.0ms (0.1%)

Algorithm
egg-herbie
Rules
581×unsub-neg_binary64
469×associate-+l+_binary64
369×associate-+r+_binary64
315×distribute-rgt-in_binary64
298×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063248
1171218
2486187
31991183
45949183
Stop Event
node limit
Counts
82 → 91
Calls
Call 1
Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 B 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (*.f64 1/24 (pow.f64 B 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (+.f64 (*.f64 1/24 (pow.f64 B 4)) (*.f64 -1/720 (pow.f64 B 6)))))
Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(fma.f64 (*.f64 x B) -1/3 (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3) (*.f64 x (*.f64 -1/3 B))))
(fma.f64 x (*.f64 B -1/3) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (/.f64 x B)))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))) (pow.f64 B 5) (*.f64 x (*.f64 B -1/3)))))
(+.f64 (fma.f64 (+.f64 (*.f64 (*.f64 x -1/45) 1/6) (*.f64 x 1/630)) (pow.f64 B 5) (*.f64 -1/3 (*.f64 x B))) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (/.f64 x B)))
(+.f64 (/.f64 x B) (fma.f64 (+.f64 (*.f64 (*.f64 x -1/45) 1/6) (*.f64 x 1/630)) (pow.f64 B 5) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (*.f64 x (*.f64 B -1/3)))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)
(*.f64 (fma.f64 -1/2 (*.f64 B B) 1) x)
(*.f64 x (fma.f64 B (*.f64 B -1/2) 1))
(fma.f64 x (*.f64 B (*.f64 B -1/2)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 B B) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x))
(+.f64 x (*.f64 x (fma.f64 -1/2 (*.f64 B B) (*.f64 1/24 (pow.f64 B 4)))))
(*.f64 x (fma.f64 1/24 (pow.f64 B 4) (fma.f64 B (*.f64 B -1/2) 1)))
(*.f64 x (fma.f64 1/24 (pow.f64 B 4) (fma.f64 -1/2 (*.f64 B B) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 B 6)) (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)))
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 B B) 1) x) (*.f64 x (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))
(+.f64 x (*.f64 x (fma.f64 1/24 (pow.f64 B 4) (fma.f64 B (*.f64 B -1/2) (*.f64 -1/720 (pow.f64 B 6))))))
(+.f64 x (*.f64 x (fma.f64 B (*.f64 B -1/2) (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/720 (pow.f64 B 6))))))
(+.f64 x (*.f64 x (fma.f64 1/24 (pow.f64 B 4) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 B (*.f64 B -1/2))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 B 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 B B)))
(fma.f64 -1/2 (*.f64 B B) 1)
(fma.f64 B (*.f64 B -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (*.f64 1/24 (pow.f64 B 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 B B) (*.f64 1/24 (pow.f64 B 4))))
(+.f64 (fma.f64 -1/2 (*.f64 B B) 1) (*.f64 1/24 (pow.f64 B 4)))
(fma.f64 1/24 (pow.f64 B 4) (fma.f64 B (*.f64 B -1/2) 1))
(fma.f64 1/24 (pow.f64 B 4) (fma.f64 -1/2 (*.f64 B B) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 B 2)) (+.f64 (*.f64 1/24 (pow.f64 B 4)) (*.f64 -1/720 (pow.f64 B 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 B B) (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/720 (pow.f64 B 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 B B) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 B 4) (fma.f64 B (*.f64 B -1/2) (*.f64 -1/720 (pow.f64 B 6)))))
(+.f64 1 (fma.f64 B (*.f64 B -1/2) (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/720 (pow.f64 B 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 B 4) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 B (*.f64 B -1/2)))))

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 (sin.f64 B) x)
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
0.0b
(cos.f64 B)
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
0.1b
(/.f64 (sin.f64 B) x)
0.1b
(/.f64 1 (sin.f64 B))
0.4b
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))

series11.0ms (0%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@0
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
1.0ms
B
@0
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
1.0ms
B
@-inf
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
1.0ms
B
@0
(/.f64 (sin.f64 B) x)
0.0ms
B
@inf
(/.f64 (sin.f64 B) x)

rewrite88.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
612×log-prod_binary64
385×pow-prod-down_binary64
339×fma-def_binary64
306×pow2_binary64
216×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01036
122436
2343532
Stop Event
node limit
Counts
3 → 218
Calls
Call 1
Inputs
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(/.f64 (sin.f64 B) x)
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 1 (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1 (tan.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1 (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) (*.f64 (cbrt.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1 (tan.f64 B))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1 (tan.f64 B))) 2)) (cbrt.f64 (*.f64 x (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 B)) (*.f64 (sqrt.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 B)) (/.f64 1 (/.f64 (neg.f64 (sin.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> 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B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (*.f64 x (/.f64 1 (tan.f64 B))) 2)) (/.f64 1 (fma.f64 x (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x)) (*.f64 x (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (*.f64 x (/.f64 1 (tan.f64 B))) 2)) (/.f64 1 (fma.f64 x (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))) (sqrt.f64 (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B))))) (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 1 (cbrt.f64 (sin.f64 B))) (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 1 (cbrt.f64 (sin.f64 B))) (*.f64 (*.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B))))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B))))) (fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (*.f64 x (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (*.f64 x (/.f64 1 (tan.f64 B))))) (-.f64 (pow.f64 (sin.f64 B) -1/2) 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(neg.f64 x) (/.f64 1 (tan.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1 (tan.f64 B))) 2))) (cbrt.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 1 (sin.f64 B)))))))

simplify60.0ms (0.2%)

Algorithm
egg-herbie
Rules
815×distribute-rgt-in_binary64
781×distribute-lft-in_binary64
644×associate-*l*_binary64
639×associate-*r*_binary64
312×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085967
1245901
2729843
33172823
Stop Event
node limit
Counts
270 → 247
Calls
Call 1
Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 B x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x)))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 31/15120 (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (*.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 (*.f64 x B) -1/3 (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3) (*.f64 x (*.f64 -1/3 B))))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 x (*.f64 B -1/3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
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(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

eval292.0ms (0.9%)

Compiler

Compiled 16418 to 8670 computations (47.2% saved)

prune162.0ms (0.5%)

Pruning

57 alts after pruning (53 fresh and 4 done)

PrunedKeptTotal
New80525830
Fresh162844
Picked101
Done145
Total82357880
Error
0.0b
Counts
880 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
10.1b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) (/.f64 x (tan.f64 B)))
52.9b
(/.f64 1 (sin.f64 B))
46.8b
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
26.6b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
12.4b
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
49.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
50.0b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
49.1b
(*.f64 -1 (/.f64 x (sin.f64 B)))
29.7b
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
29.0b
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
35.5b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
58.1b
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
19.6b
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
28.9b
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
29.7b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
50.5b
(/.f64 (neg.f64 x) B)
48.3b
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
57.0b
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
51.2b
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
50.5b
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
29.7b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
40.2b
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 B))
29.0b
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
50.5b
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
50.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
31.8b
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
31.7b
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
60.3b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
49.7b
(*.f64 (/.f64 1 B) (-.f64 1 x))
30.8b
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
56.4b
(/.f64 1 B)
27.9b
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
10.1b
(-.f64 (*.f64 (/.f64 1 (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (/.f64 x (tan.f64 B)))
33.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
51.1b
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
49.7b
(/.f64 (-.f64 1 x) B)
39.6b
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
34.3b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
54.4b
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
50.0b
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
32.2b
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x B))
19.7b
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
29.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
27.3b
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
10.1b
(-.f64 (*.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 1) (/.f64 x (tan.f64 B)))
28.9b
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
50.1b
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
57.7b
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
34.3b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
28.9b
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
31.8b
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
49.9b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
29.0b
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
42.9b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
30.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
27.2b
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
59.2b
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
Compiler

Compiled 891 to 655 computations (26.5% saved)

regimes769.0ms (2.2%)

Counts
110 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 B))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (/.f64 1 (sin.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 F F 2)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2))))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 F F 2)))) 1) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (/.f64 1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B))))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (fma.f64 F F 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (*.f64 (/.f64 1 (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 F 2) 2))))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 0 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (/.f64 (sin.f64 B) F)))
(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (*.f64 F (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B))) (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B))))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sin.f64 B)) 3) (pow.f64 F 3))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (sqrt.f64 (sin.f64 B))))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2) (pow.f64 (hypot.f64 F (sqrt.f64 (fma.f64 2 x 2))) -1/2))))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Calls

4 calls:

259.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
208.0ms
F
186.0ms
x
69.0ms
B
Results
ErrorSegmentsBranch
0.2b3F
10.0b1B
5.7b3x
2.4b4(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Compiler

Compiled 1804 to 952 computations (47.2% saved)

bsearch135.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
67.0ms
1227.0898135752486
1160248791.911971
67.0ms
-209933624768605.53
-220256.6660153344
Compiler

Compiled 107 to 79 computations (26.2% saved)

regimes529.0ms (1.5%)

Counts
83 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 B))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 -1 (sin.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Calls

4 calls:

169.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
155.0ms
F
126.0ms
x
41.0ms
B
Results
ErrorSegmentsBranch
0.2b3F
10.1b1B
8.1b2x
5.8b4(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Compiler

Compiled 1210 to 652 computations (46.1% saved)

bsearch224.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
102.0ms
1.0720985426434367e+156
3.8755152613235733e+158
121.0ms
-6.365437042484704e+155
-2.994825662073858e+149
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes812.0ms (2.4%)

Counts
82 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 B))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 -1 (sin.f64 B)))
Outputs
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Calls

4 calls:

260.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
220.0ms
x
168.0ms
F
122.0ms
B
Results
ErrorSegmentsBranch
0.3b3F
10.4b3B
9.0b3x
7.7b4(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Compiler

Compiled 1195 to 646 computations (45.9% saved)

bsearch1.1s (3.1%)

Algorithm
binary-search
Steps
TimeLeftRight
614.0ms
1227.0898135752486
1160248791.911971
464.0ms
-31.30736205265597
-0.0005070695560290649
Compiler

Compiled 859 to 639 computations (25.6% saved)

regimes686.0ms (2%)

Counts
78 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 B))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Calls

3 calls:

225.0ms
F
224.0ms
x
157.0ms
B
Results
ErrorSegmentsBranch
0.3b3F
10.4b3B
9.0b3x
Compiler

Compiled 1080 to 580 computations (46.3% saved)

bsearch1.3s (3.7%)

Algorithm
binary-search
Steps
TimeLeftRight
581.0ms
1227.0898135752486
1160248791.911971
702.0ms
-209933624768605.53
-220256.6660153344
Compiler

Compiled 855 to 649 computations (24.1% saved)

regimes1.2s (3.5%)

Counts
77 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 B))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 2 x) 2)))))
(+.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 2 (*.f64 2 x)))) (/.f64 F (sin.f64 B))))
Outputs
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Calls

3 calls:

720.0ms
x
225.0ms
B
187.0ms
F
Results
ErrorSegmentsBranch
0.4b3F
15.3b3B
9.8b3x
Compiler

Compiled 1053 to 565 computations (46.3% saved)

bsearch366.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
88.0ms
1227.0898135752486
1160248791.911971
277.0ms
-220256.6660153344
-31.30736205265597
Compiler

Compiled 208 to 151 computations (27.4% saved)

regimes627.0ms (1.8%)

Counts
70 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

267.0ms
B
203.0ms
x
130.0ms
F
Results
ErrorSegmentsBranch
0.4b3F
14.7b6B
10.8b3x
Compiler

Compiled 932 to 499 computations (46.5% saved)

bsearch567.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
303.0ms
0.002453543739558682
0.003106195986083624
263.0ms
-220256.6660153344
-31.30736205265597
Compiler

Compiled 263 to 194 computations (26.2% saved)

regimes614.0ms (1.8%)

Counts
69 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

224.0ms
B
204.0ms
x
133.0ms
F
Results
ErrorSegmentsBranch
0.4b3F
14.7b6B
10.8b3x
Compiler

Compiled 920 to 494 computations (46.3% saved)

bsearch510.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
212.0ms
0.002453543739558682
0.003106195986083624
298.0ms
-220256.6660153344
-31.30736205265597
Compiler

Compiled 263 to 194 computations (26.2% saved)

regimes580.0ms (1.7%)

Counts
68 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

235.0ms
B
197.0ms
x
98.0ms
F
Results
ErrorSegmentsBranch
0.5b3F
14.7b6B
10.8b3x
Compiler

Compiled 908 to 489 computations (46.1% saved)

bsearch511.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
248.0ms
0.002453543739558682
0.003106195986083624
262.0ms
-220256.6660153344
-31.30736205265597
Compiler

Compiled 263 to 194 computations (26.2% saved)

regimes681.0ms (2%)

Counts
67 → 5
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

274.0ms
B
199.0ms
x
183.0ms
F
Results
ErrorSegmentsBranch
4.3b5F
15.8b4B
10.8b3x
Compiler

Compiled 896 to 484 computations (46% saved)

bsearch2.1s (6%)

Algorithm
binary-search
Steps
TimeLeftRight
604.0ms
1.2165789268594001e-26
0.0010336644696589128
466.0ms
3.5916453883334135e-139
3.6092513237163413e-137
334.0ms
-1.417755582997581e-94
-4.411708754318924e-95
654.0ms
-209933624768605.53
-220256.6660153344
Compiler

Compiled 1486 to 1089 computations (26.7% saved)

regimes501.0ms (1.5%)

Counts
64 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (+.f64 -1 (/.f64 1 (*.f64 F F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (*.f64 F (/.f64 (sin.f64 B) F))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (-.f64 (+.f64 1 (/.f64 F (sin.f64 B))) 1) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (+.f64 (*.f64 F B) (*.f64 -1/6 (*.f64 F (pow.f64 B 3))))))
Outputs
(-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

225.0ms
B
189.0ms
x
62.0ms
F
Results
ErrorSegmentsBranch
9.9b2F
15.8b4B
14.9b4x
Compiler

Compiled 818 to 441 computations (46.1% saved)

bsearch62.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
5.56109614272787e-237
4.115358114952694e-235
Compiler

Compiled 74 to 54 computations (27% saved)

regimes267.0ms (0.8%)

Counts
58 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

145.0ms
B
67.0ms
F
31.0ms
x
Results
ErrorSegmentsBranch
10.0b2F
18.5b3B
19.6b1x
Compiler

Compiled 715 to 387 computations (45.9% saved)

bsearch410.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
409.0ms
-7.552949628433513e-65
-1.1821273644196338e-65
Compiler

Compiled 228 to 166 computations (27.2% saved)

regimes475.0ms (1.4%)

Counts
57 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(*.f64 -1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (fma.f64 B (*.f64 B -1/2) 1) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 B) x)) 1) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 (cos.f64 B)) 1) x) (sin.f64 B)))
(-.f64 (/.f64 (*.f64 F (/.f64 1 F)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 -1 (*.f64 F (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 1 (*.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F (sin.f64 B))))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

186.0ms
B
124.0ms
F
117.0ms
x
Results
ErrorSegmentsBranch
10.0b3F
25.3b4B
24.3b4x
Compiler

Compiled 700 to 381 computations (45.6% saved)

bsearch826.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
485.0ms
1.725162672602447e-83
6.8329594674055195e-81
341.0ms
-7.552949628433513e-65
-1.1821273644196338e-65
Compiler

Compiled 386 to 294 computations (23.8% saved)

regimes444.0ms (1.3%)

Counts
43 → 4
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
Calls

3 calls:

166.0ms
F
145.0ms
x
117.0ms
B
Results
ErrorSegmentsBranch
12.4b4F
25.3b4B
24.3b4x
Compiler

Compiled 528 to 304 computations (42.4% saved)

bsearch1.2s (3.5%)

Algorithm
binary-search
Steps
TimeLeftRight
128.0ms
1.455697109945711e+88
1.1999181664661676e+93
688.0ms
1.500372283626239e+29
2.2185584062627768e+30
377.0ms
-7.552949628433513e-65
-1.1821273644196338e-65
Compiler

Compiled 360 to 268 computations (25.6% saved)

regimes355.0ms (1%)

Counts
41 → 4
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
Calls

3 calls:

153.0ms
x
103.0ms
F
84.0ms
B
Results
ErrorSegmentsBranch
12.4b4F
25.3b4B
24.3b4x
Compiler

Compiled 510 to 297 computations (41.8% saved)

bsearch981.0ms (2.9%)

Algorithm
binary-search
Steps
TimeLeftRight
100.0ms
1.455697109945711e+88
1.1999181664661676e+93
539.0ms
1.500372283626239e+29
2.2185584062627768e+30
342.0ms
-7.552949628433513e-65
-1.1821273644196338e-65
Compiler

Compiled 348 to 256 computations (26.4% saved)

regimes242.0ms (0.7%)

Counts
39 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
Outputs
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
Calls

3 calls:

90.0ms
B
81.0ms
F
56.0ms
x
Results
ErrorSegmentsBranch
21.7b3F
26.3b4B
25.6b3x
Compiler

Compiled 492 to 291 computations (40.9% saved)

bsearch639.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
103.0ms
1.455697109945711e+88
1.1999181664661676e+93
535.0ms
1.500372283626239e+29
2.2185584062627768e+30
Compiler

Compiled 198 to 142 computations (28.3% saved)

regimes194.0ms (0.6%)

Counts
37 → 5
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
Calls

3 calls:

80.0ms
B
51.0ms
x
49.0ms
F
Results
ErrorSegmentsBranch
28.0b3F
27.0b5B
27.6b3x
Compiler

Compiled 475 to 284 computations (40.2% saved)

bsearch173.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
0.002389067783644144
2.875071286361728
14.0ms
1.4807244312171938e-263
2.5816523601048893e-250
36.0ms
-2.3892855885544694e-141
-4.9240686266178924e-145
62.0ms
-8.22226974857955e-26
-4.843126362745002e-33
Compiler

Compiled 103 to 79 computations (23.3% saved)

regimes169.0ms (0.5%)

Counts
31 → 5
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B))))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))
Calls

3 calls:

69.0ms
B
47.0ms
x
42.0ms
F
Results
ErrorSegmentsBranch
28.0b3F
27.0b5B
27.6b3x
Compiler

Compiled 399 to 229 computations (42.6% saved)

bsearch175.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
63.0ms
0.002389067783644144
2.875071286361728
14.0ms
1.4807244312171938e-263
2.5816523601048893e-250
37.0ms
-2.3892855885544694e-141
-4.9240686266178924e-145
61.0ms
-8.22226974857955e-26
-4.843126362745002e-33
Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes148.0ms (0.4%)

Counts
28 → 5
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)
(*.f64 -1 (fma.f64 (*.f64 x B) -1/3 (/.f64 x B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 1/6 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 F (*.f64 F B)))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)))
(-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
Outputs
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
Calls

3 calls:

60.0ms
B
40.0ms
x
38.0ms
F
Results
ErrorSegmentsBranch
28.0b3F
27.2b5B
27.6b3x
Compiler

Compiled 333 to 191 computations (42.6% saved)

bsearch169.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
0.002389067783644144
2.875071286361728
13.0ms
1.4807244312171938e-263
2.5816523601048893e-250
37.0ms
-2.3892855885544694e-141
-4.9240686266178924e-145
58.0ms
-6.191895160118006e-43
-1.0073680914982522e-45
Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes69.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
Outputs
(*.f64 -1 (/.f64 x (sin.f64 B)))
(/.f64 1 (sin.f64 B))
Calls

3 calls:

26.0ms
x
17.0ms
F
17.0ms
B
Results
ErrorSegmentsBranch
41.9b2F
46.3b2B
44.1b3x
Compiler

Compiled 202 to 125 computations (38.1% saved)

bsearch582.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
582.0ms
1227.0898135752486
1160248791.911971
Compiler

Compiled 198 to 163 computations (17.7% saved)

regimes74.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(/.f64 1 (sin.f64 B))
Outputs
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(/.f64 1 (sin.f64 B))
Calls

3 calls:

30.0ms
x
22.0ms
B
15.0ms
F
Results
ErrorSegmentsBranch
43.0b2F
45.8b3B
45.1b3x
Compiler

Compiled 189 to 117 computations (38.1% saved)

bsearch557.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
557.0ms
1227.0898135752486
1160248791.911971
Compiler

Compiled 279 to 217 computations (22.2% saved)

regimes74.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 x B)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))) (*.f64 (+.f64 (*.f64 1/6 (*.f64 F B)) (/.f64 F B)) (/.f64 1 F)))
Outputs
(/.f64 (neg.f64 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
Calls

3 calls:

32.0ms
B
22.0ms
x
14.0ms
F
Results
ErrorSegmentsBranch
44.4b2F
47.4b4B
48.1b2x
Compiler

Compiled 185 to 114 computations (38.4% saved)

bsearch435.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
435.0ms
1.725162672602447e-83
6.8329594674055195e-81
Compiler

Compiled 252 to 188 computations (25.4% saved)

regimes57.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
Outputs
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
Calls

3 calls:

26.0ms
B
16.0ms
x
11.0ms
F
Results
ErrorSegmentsBranch
44.4b2F
47.4b4B
48.1b2x
Compiler

Compiled 85 to 58 computations (31.8% saved)

bsearch492.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
492.0ms
7.472816537870853e-106
1.2626790596329032e-96
Compiler

Compiled 189 to 145 computations (23.3% saved)

regimes31.0ms (0.1%)

Accuracy

Total -15.8b remaining (-34%)

Threshold costs -15.8b (-34%)

Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
Outputs
(/.f64 (neg.f64 x) B)
(/.f64 1 B)
Calls

3 calls:

11.0ms
B
10.0ms
x
9.0ms
F
Results
ErrorSegmentsBranch
46.6b2F
48.2b4B
48.0b3x
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch432.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
432.0ms
2.0094437796791867e+28
6.776641143415349e+28
Compiler

Compiled 111 to 88 computations (20.7% saved)

simplify117.0ms (0.3%)

Algorithm
egg-herbie
Rules
135×distribute-rgt-neg-in_binary64
132×cancel-sign-sub-inv_binary64
93×distribute-lft-neg-in_binary64
79×neg-sub0_binary64
76×distribute-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02141534
13001514
23751514
34391514
44781506
55241506
65721506
76521506
87991506
99581506
1010541506
1111221506
1211681506
1311841506
1412001506
1512161506
1612301506
1712341506
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 F -41943040000000000/4194304) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 100000) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -636543704248470366334687955323927917311615031689140687380395693340638506966913961809679922262352518824861561779450088017452270704136634413006684612263411712) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1072098542643436745901187868129397293392344776702289999083359670660833305273893285679093614055327580055220767033996596347638593729230804095824857729773600768) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -9592306918328966/18446744073709551616) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 100000) (-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 46116860184273880/18446744073709551616) (-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 46116860184273880/18446744073709551616) (-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 46116860184273880/18446744073709551616) (-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (if (<=.f64 F 469273277547990912/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1062769888367475/87112285931760246646623899502532662132736) (+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F 2291112313477997/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 4784610960462839/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B)))) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B)))) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F 2199999999999999987451179302912) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B)))) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 B -3581303566731621/43556142965880123323311949751266331066368) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F))) (if (<=.f64 B -686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (/.f64 (neg.f64 x) B) (if (<=.f64 B 5539569662801113/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (/.f64 (-.f64 1 x) B) (if (<=.f64 B 44070521979628024/18446744073709551616) (*.f64 -1 (+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))))))
(if (<=.f64 B -3581303566731621/43556142965880123323311949751266331066368) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F))) (if (<=.f64 B -686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (/.f64 (neg.f64 x) B) (if (<=.f64 B 5539569662801113/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (/.f64 (-.f64 1 x) B) (if (<=.f64 B 44070521979628024/18446744073709551616) (*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F B) (/.f64 1 F)))))))
(if (<=.f64 B -7773431170981825/12554203470773361527671578846415332832204710888928069025792) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 B -686479766013061/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) (/.f64 (neg.f64 x) B) (if (<=.f64 B 5539569662801113/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (/.f64 (-.f64 1 x) B) (if (<=.f64 B 44070521979628024/18446744073709551616) (*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F 1150000000) (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (sin.f64 B)))
(if (<=.f64 F 1150000000) (*.f64 -1 (+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))) (/.f64 1 (sin.f64 B)))
(if (<=.f64 F 4784610960462839/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (neg.f64 x) B) (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)))
(if (<=.f64 F 3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B))
(if (<=.f64 F 66000000000000000327222820864) (/.f64 (neg.f64 x) B) (/.f64 1 B))
(/.f64 1 B)
Outputs
(if (<=.f64 F -41943040000000000/4194304) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 100000) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -10000000000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 100000) (-.f64 (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (/.f64 (sin.f64 B) F)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -636543704248470366334687955323927917311615031689140687380395693340638506966913961809679922262352518824861561779450088017452270704136634413006684612263411712) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1072098542643436745901187868129397293392344776702289999083359670660833305273893285679093614055327580055220767033996596347638593729230804095824857729773600768) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 F F 2))) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -9592306918328966/18446744073709551616) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -4796153459164483/9223372036854775808) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -4796153459164483/9223372036854775808) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (*.f64 x (/.f64 -1 (tan.f64 B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1250) (+.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2)) (/.f64 -1 (/.f64 (tan.f64 B) x))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 100000) (-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 46116860184273880/18446744073709551616) (-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5764607523034235/2305843009213693952) (-.f64 (/.f64 (*.f64 F (sqrt.f64 1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 46116860184273880/18446744073709551616) (-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5764607523034235/2305843009213693952) (-.f64 (*.f64 F (/.f64 (sqrt.f64 1/2) (sin.f64 B))) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 46116860184273880/18446744073709551616) (-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -100000) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 5764607523034235/2305843009213693952) (-.f64 (/.f64 (/.f64 F (sqrt.f64 2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (if (<=.f64 F 469273277547990912/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1062769888367475/87112285931760246646623899502532662132736) (+.f64 (neg.f64 (/.f64 x B)) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2)) (/.f64 (neg.f64 x) B)) (if (<=.f64 F 3666197480843679/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1062769888367475/87112285931760246646623899502532662132736) (+.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2)) (/.f64 (neg.f64 x) B)) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F -225000) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F -2630367692706693/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2)) (/.f64 x B)) (if (<=.f64 F 3666197480843679/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 1062769888367475/87112285931760246646623899502532662132736) (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 2 (*.f64 F F)) (*.f64 x 2)) -1/2)) (/.f64 x B)) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(if (<=.f64 F 2291112313477997/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368) (-.f64 (/.f64 (/.f64 F (-.f64 (/.f64 -1 F) F)) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 (/.f64 F (+.f64 F (/.f64 1 F))) (sin.f64 B)) (/.f64 x (tan.f64 B))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 4784610960462839/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B)))) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (/.f64 F (*.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (-.f64 (/.f64 F (*.f64 F (sin.f64 B))) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 F (*.f64 F (sin.f64 B)))) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (+.f64 (/.f64 F (*.f64 F (sin.f64 B))) (/.f64 (neg.f64 x) B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
(if (<=.f64 F -2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 F 2199999999999999987451179302912) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))) (if (<=.f64 F 14556971099457109533249957531142865454140355357068592290780191789460557183886376778596352) (-.f64 (/.f64 F (*.f64 F (sin.f64 B))) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))
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(if (<=.f64 F 1150000000) (-.f64 (/.f64 (neg.f64 x) B) (*.f64 B (+.f64 (*.f64 x -1/2) (*.f64 x 1/6)))) (/.f64 1 (sin.f64 B)))
(if (<=.f64 F 1150000000) (-.f64 (*.f64 B (+.f64 (*.f64 x -1/6) (*.f64 x 1/2))) (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(if (<=.f64 F 4784610960462839/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (neg.f64 x) B) (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)))
(if (<=.f64 F 4784610960462839/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (neg.f64 x) B) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))) (/.f64 x B)))
(if (<=.f64 F 3873374817130363/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (/.f64 (neg.f64 x) B) (/.f64 (-.f64 1 x) B))
(if (<=.f64 F 66000000000000000327222820864) (/.f64 (neg.f64 x) B) (/.f64 1 B))
(/.f64 1 B)

end357.0ms (1%)

Stop Event
fuel
Compiler

Compiled 2055 to 1121 computations (45.5% saved)

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