Details

Time bar (total: 17.2s)

analyze382.0ms (2.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
25%74.9%0.1%8
25%74.9%0.1%9
25%64%11.1%10
31.2%54.6%14.2%11
39%44.1%16.9%12
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.9s (22.5%)

Results
1.1s5387×body256valid
1.0s1878×body1024valid
811.0ms1555×body1024invalid
359.0ms985×body512valid
319.0ms1549×body256invalid
290.0ms814×body512invalid
5.0ms6×body2048valid

preprocess29.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
96×fma-def_binary64
70×*-commutative_binary64
57×associate-/l*_binary64
30×associate-/r/_binary64
26×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02580
16972
216072
324372
432172
537572
642072
747472
848072
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (*.f64 th th) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (fma.f64 th th (*.f64 a2 a2)))
(*.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 th th (*.f64 a1 a1)))
(*.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (*.f64 a1 a1)) (sqrt.f64 2)))
Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×fma-def_binary64
23×*-commutative_binary64
20×associate-/l*_binary64
11×associate-/r/_binary64
9×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01320
12718
25818
38818
411518
513518
615218
717018
817218
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))

eval1.0ms (0%)

Compiler

Compiled 34 to 20 computations (41.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶0.4b
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Compiler

Compiled 37 to 25 computations (32.4% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series17.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
th
@-inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
2.0ms
a2
@-inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
1.0ms
a1
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
1.0ms
th
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
1.0ms
th
@inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))

rewrite72.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
523×log-prod_binary64
407×exp-prod_binary64
343×pow-prod-down_binary64
283×pow2_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
122425
2273825
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

simplify79.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
821×unswap-sqr_binary64
749×associate-*l*_binary64
547×associate-/l/_binary64
515×fma-def_binary64
494×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059925
1145857
2373853
31196821
44370806
Stop Event
1×node limit
Counts
126 → 109
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 th (sqrt.f64 2)) th) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 th (/.f64 th (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 th (sqrt.f64 2)) th) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 th (/.f64 th (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (*.f64 th (/.f64 th (sqrt.f64 2))) (+.f64 -1/2 (*.f64 th (*.f64 th 1/24)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 th (sqrt.f64 2)) th) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 th (/.f64 th (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(+.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (*.f64 (*.f64 th (/.f64 th (sqrt.f64 2))) (+.f64 -1/2 (*.f64 th (*.f64 th 1/24))))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th)) (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (*.f64 th (/.f64 th (sqrt.f64 2))) (fma.f64 a2 a2 (*.f64 a1 a1))) (fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 -1/2 (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (*.f64 th th)))) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4))))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th (/.f64 th (sqrt.f64 2))) (+.f64 -1/2 (*.f64 th (*.f64 th 1/24)))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))))
(+.f64 (+.f64 (fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 -1/2 (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(fma.f64 -1/720 (*.f64 (pow.f64 th 6) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))) (fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (*.f64 th th)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))

localize46.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 59 to 29 computations (50.8% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a1
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
1.0ms
th
@-inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
1.0ms
th
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
1.0ms
th
@inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
1.0ms
th
@-inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))

rewrite111.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
633×log-prod_binary64
439×pow-prod-down_binary64
314×pow2_binary64
264×pow-unpow_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
124928
2313928
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a2 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a2 4) (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))))))

simplify161.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
642×associate-/l*_binary64
626×associate-*r/_binary64
519×associate-/r*_binary64
355×*-commutative_binary64
354×associate-/r/_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
051854
1134850
2401848
31572812
45073782
56211770
67007770
77807758
Stop Event
1×node limit
Counts
110 → 82
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 -1/2 (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 (*.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 4)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (*.f64 th th)))))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 1/24 (pow.f64 th 4))))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 1 (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
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(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))

eval166.0ms (1%)

Compiler

Compiled 6658 to 3853 computations (42.1% saved)

prune93.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New28811299
Fresh000
Picked101
Done011
Total28912301
Error
0.0b
Counts
301 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶26.7b
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
0.5b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
25.4b
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶0.4b
(+.f64 (+.f64 0 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
▶30.8b
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
33.4b
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))
1.7b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (fma.f64 a1 a1 (*.f64 a2 a2)))
25.4b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.5b
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
▶30.8b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
▶0.6b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
Compiler

Compiled 353 to 268 computations (24.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))
0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
✓0.5b
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))
0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 81 to 41 computations (49.4% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
th
@-inf
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))
1.0ms
th
@0
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))
1.0ms
th
@inf
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))
1.0ms
a1
@inf
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))
1.0ms
a1
@0
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
986×pow1_binary64
915×add-log-exp_binary64
915×log1p-expm1-u_binary64
915×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118825
2243925
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 1 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 a1 (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) a1)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 (cos.f64 th) a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) a1)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 th) a1) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) a1) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 (cos.f64 th) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) a1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 (*.f64 (cos.f64 th) a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) a1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))))))))

simplify164.0ms (1%)

Algorithm
1×egg-herbie
Rules
1035×unswap-sqr_binary64
984×associate-*l/_binary64
937×fma-def_binary64
537×associate-/l*_binary64
460×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
050760
1133758
2346758
31134732
43592698
55170678
65346678
75554678
85769678
95973678
Stop Event
1×node limit
Counts
114 → 85
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4))) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (+.f64 (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4))) 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 1 (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (+.f64 (fma.f64 1/24 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (sqrt.f64 2))) (*.f64 -1/720 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 6))))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/720 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (/.f64 a1 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 1/24 (pow.f64 th 4)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 th th) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 1 (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4))))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 (*.f64 th (*.f64 th (*.f64 a1 -1/2))) (sqrt.f64 2)) a1))
(*.f64 a1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (+.f64 (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4))) 1) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (fma.f64 -1/720 (*.f64 a1 (*.f64 a1 (/.f64 (pow.f64 th 6) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4))))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 th th) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 th th) (*.f64 1/24 (pow.f64 th 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
✓0.2b
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
✓0.4b
(/.f64 a2 (sqrt.f64 2))
Compiler

Compiled 30 to 19 computations (36.7% saved)

series14.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
5.0ms
th
@-inf
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
1.0ms
th
@inf
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
1.0ms
th
@inf
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
1.0ms
a2
@0
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
1.0ms
th
@0
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))

rewrite77.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
953×pow1_binary64
882×add-log-exp_binary64
882×log1p-expm1-u_binary64
882×expm1-log1p-u_binary64
862×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
118831
2238031
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a2 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a2 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (cos.f64 th)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))))))

simplify121.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1035×unswap-sqr_binary64
984×associate-*l/_binary64
967×fma-def_binary64
537×associate-/l*_binary64
475×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
053764
1135760
2350758
31144732
43627698
55293678
65469678
75679678
85894678
96098678
Stop Event
1×node limit
Counts
117 → 89
Calls
Call 1
Inputs
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 th th)) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 th (*.f64 th -1/2)) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (+.f64 (*.f64 th (*.f64 th -1/2)) 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 a2 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 th (*.f64 th -1/2))) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (+.f64 (fma.f64 1/24 (pow.f64 th 4) (*.f64 th (*.f64 th -1/2))) 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (*.f64 th (*.f64 th -1/2)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a2 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 a2 (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a2 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 -1/720 (/.f64 (*.f64 a2 (pow.f64 th 6)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 a2 (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 1/24 (pow.f64 th 4)) (+.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))) (*.f64 th (*.f64 th -1/2)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (+.f64 (*.f64 th (*.f64 th -1/2)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 (fma.f64 th (*.f64 th -1/2) (*.f64 -1/720 (pow.f64 th 6))) (+.f64 1 (*.f64 1/24 (pow.f64 th 4)))))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 th (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 th (*.f64 a2 a2))))))
(*.f64 (+.f64 (*.f64 th (*.f64 th -1/2)) 1) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)))))
(fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (fma.f64 1/24 (pow.f64 th 4) (*.f64 th (*.f64 th -1/2)))))
(*.f64 (+.f64 (fma.f64 1/24 (pow.f64 th 4) (*.f64 th (*.f64 th -1/2))) 1) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (*.f64 th (*.f64 th -1/2)))))
(*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 1 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a2 a2)) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (/.f64 -1/720 (/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 a2 (pow.f64 th 6))))))
(fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (fma.f64 1/24 (*.f64 a2 (*.f64 a2 (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 -1/720 (pow.f64 th 6))))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 1 (+.f64 (*.f64 th (*.f64 th -1/2)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (+.f64 (fma.f64 th (*.f64 th -1/2) (*.f64 -1/720 (pow.f64 th 6))) (+.f64 1 (*.f64 1/24 (pow.f64 th 4)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a2
@0
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a2
@inf
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a2
@-inf
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a1
@inf
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a1
@0
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

rewrite60.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
765×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
691×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
116412
2195812
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))))

simplify120.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
780×associate-/r/_binary64
600×associate-/l/_binary64
600×sqr-pow_binary64
566×*-commutative_binary64
372×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
010414
119414
232414
362378
4150378
5513378
62172378
73474378
83900378
94183378
104528378
115111378
126228378
137562378
Stop Event
1×node limit
Counts
55 → 37
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 a2 2)
✓0.1b
(*.f64 (pow.f64 a2 2) (cos.f64 th))
✓0.2b
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series6.0ms (0%)

Counts
3 → 20
Calls

15 calls:

TimeVariablePointExpression
1.0ms
a2
@-inf
(pow.f64 a2 2)
0.0ms
a2
@inf
(*.f64 (pow.f64 a2 2) (cos.f64 th))
0.0ms
a2
@inf
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
0.0ms
a2
@inf
(pow.f64 a2 2)
0.0ms
th
@0
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
921×pow1_binary64
854×add-log-exp_binary64
854×log1p-expm1-u_binary64
854×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
118927
2233227
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(pow.f64 a2 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2)) (cbrt.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a2 a2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 a2 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 a2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 a2)))))))

simplify76.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
952×fma-def_binary64
617×associate-*l/_binary64
520×distribute-rgt-out_binary64
494×*-commutative_binary64
488×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043358
1111339
2327326
31336299
44865280
56771266
67997266
Stop Event
1×node limit
Counts
90 → 87
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 a2 2))) (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 (*.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (*.f64 th th))))))
(fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) 1/24 -1/2))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th (*.f64 th (fma.f64 (*.f64 th th) 1/24 -1/2)))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 1/24 (pow.f64 th 4) (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (*.f64 (*.f64 a2 a2) (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 -1/720 (/.f64 (*.f64 (*.f64 a2 a2) (pow.f64 th 6)) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (*.f64 -1/720 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 6))))
(fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th)) (fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))))))
(fma.f64 (/.f64 a2 (sqrt.f64 2)) a2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) 1/24 -1/2) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (fma.f64 1/24 (pow.f64 th 4) 1) (fma.f64 -1/2 (*.f64 th th) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (*.f64 a2 a2) (*.f64 -1/2 (*.f64 (*.f64 a2 a2) (*.f64 th th))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))
(*.f64 a2 (fma.f64 -1/2 (*.f64 a2 (*.f64 th th)) a2))
(*.f64 a2 (fma.f64 (*.f64 -1/2 th) (*.f64 a2 th) a2))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (*.f64 a2 a2) (fma.f64 -1/2 (*.f64 (*.f64 a2 a2) (*.f64 th th)) (*.f64 1/24 (*.f64 (*.f64 a2 a2) (pow.f64 th 4)))))
(fma.f64 a2 a2 (*.f64 (*.f64 a2 a2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (*.f64 a2 a2) (+.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 1/24 (pow.f64 th 4))))
(*.f64 (*.f64 a2 a2) (fma.f64 1/24 (pow.f64 th 4) (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 a2 2))) (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
(+.f64 (*.f64 a2 a2) (fma.f64 -1/2 (*.f64 (*.f64 a2 a2) (*.f64 th th)) (fma.f64 1/24 (*.f64 (*.f64 a2 a2) (pow.f64 th 4)) (*.f64 -1/720 (*.f64 (*.f64 a2 a2) (pow.f64 th 6))))))
(fma.f64 a2 a2 (fma.f64 -1/2 (*.f64 (*.f64 a2 a2) (*.f64 th th)) (*.f64 (*.f64 a2 a2) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(fma.f64 a2 a2 (*.f64 (*.f64 a2 a2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (*.f64 a2 a2) (+.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (*.f64 a2 a2) (+.f64 (fma.f64 1/24 (pow.f64 th 4) 1) (fma.f64 -1/2 (*.f64 th th) (*.f64 -1/720 (pow.f64 th 6)))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (hypot.f64 a1 a2) 2)
✓0.1b
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
✓0.3b
(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
✓0.4b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
Compiler

Compiled 52 to 28 computations (46.2% saved)

series68.0ms (0.4%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
12.0ms
a1
@0
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
9.0ms
a2
@0
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
4.0ms
a2
@inf
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
3.0ms
a1
@0
(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
3.0ms
a2
@inf
(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))

rewrite112.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
615×log-prod_binary64
352×pow-prod-down_binary64
317×pow2_binary64
222×pow-unpow_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
127053
2327953
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (hypot.f64 a1 a2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4))) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))) (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) -2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 4) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 a1 a2)) (pow.f64 (hypot.f64 a1 a2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a1 a2) 3/2) (sqrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 5) (cbrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 a1 a2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a2 a2)) (exp.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a1 a1)) (exp.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 a1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 a2 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a2) (pow.f64 a2 3/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a1) (pow.f64 a1 3/2) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a1 3/2) (sqrt.f64 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a1) a1) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a2 3/2) (sqrt.f64 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a1) 5) (cbrt.f64 a1) (*.f64 a2 a2))))))

simplify151.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
686×distribute-rgt-in_binary64
675×distribute-lft-in_binary64
403×fma-def_binary64
252×associate-+r+_binary64
228×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03785710
112605098
247214328
Stop Event
1×node limit
Counts
297 → 273
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 12) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (*.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (*.f64 (cos.f64 th) (pow.f64 a2 8))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (*.f64 (pow.f64 a2 8) (cos.f64 th))) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))))))) (*.f64 (cos.f64 th) (pow.f64 a2 12))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a1 6)) (*.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
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(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (*.f64 (pow.f64 a2 8) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (*.f64 (pow.f64 a2 8) (cos.f64 th))) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (pow.f64 a2 12) (*.f64 (cos.f64 th) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)))))) (*.f64 1/256 (/.f64 1 (pow.f64 a1 10)))))))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 a1 6)) (*.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 a1 6)) (*.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (pow.f64 a2 8)) (pow.f64 a1 2)))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
Outputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4))))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (sqrt.f64 2)))))
(+.f64 (+.f64 (fma.f64 -1/720 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (*.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4))))
(+.f64 (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))) (fma.f64 -1/720 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a1 8)))))
(+.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (/.f64 (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (sqrt.f64 2)) (*.f64 (cos.f64 th) (pow.f64 a1 8)))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (*.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 a1 8)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 12) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (*.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2)))))
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(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2))))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 (*.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (/.f64 0 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 0)
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (pow.f64 a2 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 a1 6)) (*.f64 1/8 (pow.f64 a1 6))) (cos.f64 th)) (pow.f64 a2 4)))))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 (*.f64 (pow.f64 a2 4) 0) (/.f64 (*.f64 a1 a1) (cos.f64 th)))))
(+.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (/.f64 0 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) 0)
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (pow.f64 a1 8) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a1 8) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (*.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)) (pow.f64 a1 8) (fma.f64 a2 a2 (*.f64 a1 a1)))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (*.f64 a1 a1))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 (pow.f64 a2 4) (/.f64 (*.f64 a1 a1) 1/4)))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (+.f64 (*.f64 a1 a1) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a1 a1 (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a1 a1 (/.f64 1/8 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))))))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (*.f64 a1 a1))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 (pow.f64 a2 4) (/.f64 (*.f64 a1 a1) 1/4)))))
(fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (+.f64 (*.f64 a2 a2) (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (+.f64 (*.f64 a1 a1) (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a1 a1 (*.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a2 a2 (fma.f64 1/4 (/.f64 (pow.f64 a2 4) (*.f64 a1 a1)) (fma.f64 a1 a1 (/.f64 1/8 (/.f64 (pow.f64 a1 4) (pow.f64 a2 6))))))))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (pow.f64 a2 8)) (pow.f64 a1 2)))
(+.f64 (*.f64 a2 a2) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))) (pow.f64 a2 8) (*.f64 a1 a1)))
(fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 (pow.f64 a2 8) (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))))))
(fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 (pow.f64 a2 8) (-.f64 (*.f64 (/.f64 1 (pow.f64 a1 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)))))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) 0))
(+.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 0)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 1/8 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(+.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) 0))
(+.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) 0)
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (/.f64 1/8 (/.f64 (pow.f64 a2 4) (pow.f64 a1 6))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a1 4) (*.f64 a2 a2)) (fma.f64 a2 a2 (fma.f64 a1 a1 (*.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))

eval1.1s (6.6%)

Compiler

Compiled 15472 to 10053 computations (35% saved)

prune173.0ms (1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New64917666
Fresh336
Picked101
Done415
Total65721678
Error
0b
Counts
678 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
25.6b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
47.4b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
43.2b
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
▶25.4b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
▶0.5b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
25.4b
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
26.7b
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
30.8b
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
30.8b
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶30.8b
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
30.8b
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
0.6b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
▶39.0b
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
30.8b
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))
25.6b
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
43.2b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
30.8b
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
✓0.4b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
30.8b
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
25.6b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
▶39.1b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
Compiler

Compiled 511 to 390 computations (23.7% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
✓0.3b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Compiler

Compiled 41 to 20 computations (51.2% saved)

series14.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
th
@-inf
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
1.0ms
th
@0
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
1.0ms
th
@inf
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
1.0ms
th
@inf
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
1.0ms
th
@0
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary64
408×exp-prod_binary64
373×pow-prod-down_binary64
299×pow2_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
124425
2279125
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) 1))))))

simplify62.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
837×distribute-rgt-in_binary64
820×distribute-lft-in_binary64
502×distribute-lft-out_binary64
488×unswap-sqr_binary64
450×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053958
1148884
2437838
31876810
45154806
Stop Event
1×node limit
Counts
100 → 75
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (fma.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2)))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4))))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 1/24 (pow.f64 th 4)))))
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(+.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 1/24 (pow.f64 th 4)) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (*.f64 th th)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))) (*.f64 -1/2 (*.f64 th th)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓0.4b
(/.f64 a1 (sqrt.f64 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a1
@0
(/.f64 a1 (sqrt.f64 2))
0.0ms
a1
@inf
(/.f64 a1 (sqrt.f64 2))
0.0ms
a1
@-inf
(/.f64 a1 (sqrt.f64 2))
0.0ms
a1
@0
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
0.0ms
a1
@inf
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

rewrite51.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
576×add-log-exp_binary64
576×log1p-expm1-u_binary64
576×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112715
2156615
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))))

simplify106.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
434×unswap-sqr_binary64
423×*-commutative_binary64
423×associate-*r/_binary64
393×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06108
111108
220108
337108
483108
5266108
61091108
73478108
84280108
94465108
104681108
115028108
125456108
135935108
146584108
157273108
Stop Event
1×node limit
Counts
62 → 52
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a1
@-inf
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
0.0ms
a1
@0
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
0.0ms
a1
@inf
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))

rewrite78.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
574×pow1_binary64
535×add-log-exp_binary64
535×log1p-expm1-u_binary64
535×expm1-log1p-u_binary64
522×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11299
215049
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
30 → 30
Calls
Call 1
Inputs
Outputs

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.2b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
0.4b
(/.f64 a1 (sqrt.f64 2))
Compiler

Compiled 29 to 19 computations (34.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a1
@0
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.0ms
th
@0
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.0ms
a1
@inf
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.0ms
th
@inf
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.0ms
a1
@-inf
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))

rewrite58.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
931×pow1_binary64
861×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
842×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
118714
2233014
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (pow.f64 2 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))))))

simplify105.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1132×unswap-sqr_binary64
659×associate-*l/_binary64
607×fma-def_binary64
494×associate-*r/_binary64
372×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032424
183424
2230424
3857406
42734387
54348375
65665375
75970375
86198375
96407375
Stop Event
1×node limit
Counts
39 → 25
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 th (*.f64 th -1/2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 (*.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 (*.f64 (*.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 4)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (+.f64 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4))) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (+.f64 1 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 -1/720 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 (*.f64 (*.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (/.f64 (*.f64 (*.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 6)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(fma.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 1/24 (pow.f64 th 4)) (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 -1/720 (pow.f64 th 6))))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (+.f64 (fma.f64 1/24 (pow.f64 th 4) (*.f64 -1/720 (pow.f64 th 6))) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (+.f64 (*.f64 th (*.f64 th -1/2)) (fma.f64 -1/720 (pow.f64 th 6) (*.f64 1/24 (pow.f64 th 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
✓0.1b
(*.f64 a2 (cos.f64 th))
✓0.2b
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
Compiler

Compiled 29 to 12 computations (58.6% saved)

series5.0ms (0%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
0.0ms
a2
@-inf
(*.f64 a2 (cos.f64 th))
0.0ms
a2
@inf
(*.f64 a2 (cos.f64 th))
0.0ms
a2
@0
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
0.0ms
th
@0
(*.f64 a2 (cos.f64 th))
0.0ms
th
@0
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))

rewrite73.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
960×pow1_binary64
890×add-log-exp_binary64
890×log1p-expm1-u_binary64
890×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
118729
2237529
Stop Event
1×node limit
Counts
3 → 70
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(*.f64 a2 (cos.f64 th))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cos.f64 th)) (/.f64 1 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2)) (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))) (sqrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) 1) (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 a2 (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))))))))

simplify94.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
595×associate-/l*_binary64
567×associate-*r/_binary64
523×distribute-rgt-out_binary64
445×associate-/r*_binary64
404×associate-*l/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
059846
1157827
2437808
31638782
44685767
56480759
67439759
Stop Event
1×node limit
Counts
134 → 101
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
a2
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) a2)) a2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) a2)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) a2)) a2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) a2)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) a2)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) a2)) a2)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 a2 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 a2 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 a2 2))) (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 a2 2))))))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
Outputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
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a2
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(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))

eval116.0ms (0.7%)

Compiler

Compiled 4596 to 2887 computations (37.2% saved)

prune88.0ms (0.5%)

Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New31619335
Fresh8715
Picked011
Done325
Total32729356
Error
0b
Counts
356 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
30.9b
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
25.4b
(*.f64 (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (cos.f64 th))
39.1b
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
25.4b
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
39.1b
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
▶39.1b
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
47.4b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
30.8b
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
39.1b
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
▶43.2b
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓25.4b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
55.0b
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
▶0.5b
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶25.4b
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
30.8b
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓30.8b
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
44.4b
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
0.6b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
25.4b
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
✓39.1b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
39.0b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶39.1b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
25.4b
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
43.2b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
39.1b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
30.8b
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
39.1b
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
43.5b
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
Compiler

Compiled 667 to 515 computations (22.8% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
✓0.3b
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series4.0ms (0%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
0.0ms
th
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
0.0ms
th
@-inf
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
0.0ms
th
@inf
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
0.0ms
a2
@inf
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
0.0ms
a1
@inf
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))

rewrite57.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
987×pow1_binary64
905×add-log-exp_binary64
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
108×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
121825
2251325
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 1/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
839×distribute-rgt-in_binary64
820×distribute-lft-in_binary64
502×distribute-lft-out_binary64
488×unswap-sqr_binary64
450×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052894
1146820
2436774
31894746
45245742
Stop Event
1×node limit
Counts
70 → 52
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4))))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 1 (*.f64 1/24 (pow.f64 th 4))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 1/24 (pow.f64 th 4)))))
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(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 th th) (+.f64 -1/2 (*.f64 (*.f64 th th) 1/24))) (+.f64 1 (*.f64 -1/720 (pow.f64 th 6)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
0.4b
(/.f64 a2 (sqrt.f64 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a2
@0
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
0.0ms
a2
@inf
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
0.0ms
a2
@-inf
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

rewrite45.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
576×add-log-exp_binary64
576×log1p-expm1-u_binary64
576×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11279
215669
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))))

simplify110.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
434×unswap-sqr_binary64
423×*-commutative_binary64
423×associate-*r/_binary64
393×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06108
111108
220108
337108
483108
5266108
61091108
73478108
84280108
94465108
104681108
115028108
125456108
135935108
146584108
157273108
Stop Event
1×node limit
Counts
32 → 22
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
✓0.9b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
Compiler

Compiled 25 to 16 computations (36% saved)

series10.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
8.0ms
a1
@-inf
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
1.0ms
a1
@0
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
0.0ms
a1
@0
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
0.0ms
a1
@-inf
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
0.0ms
a1
@inf
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
760×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
690×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
116818
2207218
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 1 (/.f64 2 (pow.f64 a1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 2 (pow.f64 a1 4)))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) a1) (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (pow.f64 a1 -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 a1 4))) -1) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) -1) (pow.f64 (/.f64 (pow.f64 2 1/4) a1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) 1) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 -1/2) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (pow.f64 2 -1/2)) a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (/.f64 2 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 a1 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) (cbrt.f64 (/.f64 2 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a1) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a1 -2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) a1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a1 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (neg.f64 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 a1 a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))))

simplify122.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
436×cube-prod_binary64
434×unswap-sqr_binary64
423×*-commutative_binary64
423×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07216
112216
222216
340216
491216
5286216
61137216
73130216
83932216
94117216
104333216
114674216
125101216
135580216
146229216
156918216
167753216
Stop Event
1×node limit
Counts
93 → 73
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)
(/.f64 (sqrt.f64 2) (pow.f64 a1 2))
(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
(/.f64 (/.f64 (sqrt.f64 2) a1) a1)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 a1 (pow.f64 2 1/4))
✓0.4b
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
Compiler

Compiled 21 to 18 computations (14.3% saved)

series44.0ms (0.3%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
42.0ms
a1
@0
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
1.0ms
a1
@inf
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
1.0ms
a1
@-inf
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
0.0ms
a1
@0
(/.f64 a1 (pow.f64 2 1/4))
0.0ms
a1
@-inf
(/.f64 a1 (pow.f64 2 1/4))

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
664×pow1_binary64
621×add-log-exp_binary64
621×log1p-expm1-u_binary64
621×expm1-log1p-u_binary64
606×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115616
2176816
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 a1 (pow.f64 2 1/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 (pow.f64 2 -1/4) (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (*.f64 (pow.f64 2 -1/4) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 (pow.f64 2 -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 (cbrt.f64 (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 4)) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8)) (*.f64 (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8)) (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8))) (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) a1) (pow.f64 2 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (*.f64 (/.f64 (pow.f64 2 1/4) a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (pow.f64 2 -1/4)) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (pow.f64 2 1/4) a1) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a1) (*.f64 (/.f64 (pow.f64 2 1/4) a1) (neg.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) (neg.f64 a1)) (*.f64 (neg.f64 (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (neg.f64 (pow.f64 2 1/4)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) 1) (*.f64 (neg.f64 (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 (pow.f64 2 1/4) (neg.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (pow.f64 2 -1/4))) (neg.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) a1) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (neg.f64 a1)) (neg.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a1 (pow.f64 2 -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (pow.f64 2 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (pow.f64 2 -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a1 (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (pow.f64 2 -1/4))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8)) (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/8)) (/.f64 a1 (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/8)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (pow.f64 2 -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a1) (pow.f64 2 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) a1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (neg.f64 (pow.f64 2 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 a1 (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (pow.f64 2 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (pow.f64 2 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (pow.f64 2 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (pow.f64 2 -1/4))))))))

simplify172.0ms (1%)

Algorithm
1×egg-herbie
Rules
2232×unswap-sqr_binary64
1121×sqr-pow_binary64
658×fabs-mul_binary64
638×cube-prod_binary64
584×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010192
121192
240192
393192
4316192
51490192
61698192
71818192
81964192
92154192
102402192
112732192
123166192
133704192
144394192
155287192
165777192
176189192
186543192
196753192
206851192
Stop Event
1×node limit
Counts
92 → 71
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))
(*.f64 a1 (pow.f64 1/2 1/4))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓0.3b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
a1
@0
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
0.0ms
th
@0
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
0.0ms
th
@inf
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
0.0ms
a1
@inf
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
0.0ms
a1
@0
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))

rewrite63.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
928×pow1_binary64
860×add-log-exp_binary64
860×log1p-expm1-u_binary64
860×expm1-log1p-u_binary64
839×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
118723
2235723
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 (neg.f64 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a1 (neg.f64 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (pow.f64 2 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (/.f64 (pow.f64 a1 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))))))))

simplify103.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1132×unswap-sqr_binary64
659×associate-*l/_binary64
607×fma-def_binary64
494×associate-*r/_binary64
371×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032532
183532
2230532
3856514
42738495
54352483
65669483
75975483
86203483
96412483
Stop Event
1×node limit
Counts
94 → 68
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 th (*.f64 th -1/2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (+.f64 (*.f64 th (*.f64 th -1/2)) 1) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 1/24 (pow.f64 th 4)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (+.f64 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4))) 1) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (fma.f64 th (*.f64 th -1/2) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 -1/720 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 1/24 (pow.f64 th 4)) (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (*.f64 -1/720 (pow.f64 th 6))))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 th (*.f64 th -1/2)) (fma.f64 -1/720 (pow.f64 th 6) (*.f64 1/24 (pow.f64 th 4))))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) (fma.f64 -1/720 (pow.f64 th 6) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (+.f64 (*.f64 th (*.f64 th -1/2)) (fma.f64 -1/720 (pow.f64 th 6) (*.f64 1/24 (pow.f64 th 4))))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 th 4)) (fma.f64 th (*.f64 th -1/2) (*.f64 -1/720 (pow.f64 th 6))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))

eval92.0ms (0.5%)

Compiler

Compiled 3914 to 2777 computations (29% saved)

prune77.0ms (0.5%)

Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New29918317
Fresh71421
Picked011
Done257
Total30838346
Error
0b
Counts
346 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
39.1b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
25.4b
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
25.4b
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
39.1b
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
39.0b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
47.9b
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
30.8b
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
30.9b
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
43.3b
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
39.1b
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
39.1b
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
25.4b
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
47.4b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
30.8b
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
43.2b
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
30.8b
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
39.1b
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
✓43.2b
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
39.0b
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
55.0b
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
✓0.5b
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
43.2b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
39.1b
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
43.2b
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
✓30.8b
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
44.4b
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
0.6b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
39.1b
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
✓39.1b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
43.2b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
43.2b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓39.1b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
25.4b
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
43.2b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓25.4b
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
39.0b
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
43.5b
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
39.1b
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
Compiler

Compiled 456 to 359 computations (21.3% saved)

regimes494.0ms (2.9%)

Counts
67 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (+.f64 0 (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Calls

8 calls:

109.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
87.0ms
a1
85.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
62.0ms
th
45.0ms
a2
Results
ErrorSegmentsBranch
0.4b1a1
0.4b1a2
0.4b1th
0.4b1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
0.4b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.4b1(cos.f64 th)
0.4b1(*.f64 a1 a1)
0.4b1(*.f64 a2 a2)
Compiler

Compiled 712 to 438 computations (38.5% saved)

regimes619.0ms (3.6%)

Counts
62 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Calls

8 calls:

163.0ms
th
121.0ms
(*.f64 a2 a2)
92.0ms
a1
92.0ms
a2
51.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
0.4b1a1
0.4b1a2
0.4b1th
0.4b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.4b1(cos.f64 th)
0.4b1(*.f64 a1 a1)
0.4b1(*.f64 a1 a1)
0.4b1(*.f64 a2 a2)
Compiler

Compiled 612 to 380 computations (37.9% saved)

regimes371.0ms (2.2%)

Counts
59 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Outputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Calls

7 calls:

97.0ms
(cos.f64 th)
84.0ms
th
41.0ms
a2
40.0ms
(*.f64 a2 a2)
39.0ms
a1
Results
ErrorSegmentsBranch
0.5b1a1
0.5b1a2
0.5b1th
0.5b1(cos.f64 th)
0.5b1(*.f64 a1 a1)
0.5b1(*.f64 a1 a1)
0.5b1(*.f64 a2 a2)
Compiler

Compiled 566 to 355 computations (37.3% saved)

regimes409.0ms (2.4%)

Counts
58 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
Calls

6 calls:

100.0ms
a2
89.0ms
(cos.f64 th)
81.0ms
th
39.0ms
a1
24.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
0.6b1a1
0.6b1a2
0.6b1th
0.6b1(cos.f64 th)
0.6b1(*.f64 a1 a1)
0.6b1(*.f64 a2 a2)
Compiler

Compiled 548 to 346 computations (36.9% saved)

regimes720.0ms (4.2%)

Counts
54 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
Outputs
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2))
Calls

8 calls:

147.0ms
th
143.0ms
(cos.f64 th)
130.0ms
a2
91.0ms
(*.f64 a1 a1)
68.0ms
a1
Results
ErrorSegmentsBranch
4.4b2a1
6.1b2a2
11.3b4th
12.4b4(cos.f64 th)
9.7b2(*.f64 a1 a1)
9.7b2(*.f64 a1 a1)
10.2b2(*.f64 a2 a2)
10.2b2(*.f64 a2 a2)
Compiler

Compiled 518 to 328 computations (36.7% saved)

bsearch137.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
137.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes747.0ms (4.4%)

Counts
42 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
Outputs
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
Calls

7 calls:

203.0ms
th
172.0ms
(cos.f64 th)
106.0ms
(*.f64 a1 a1)
85.0ms
a2
80.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
4.4b2a1
6.1b2a2
18.7b6th
23.5b3(cos.f64 th)
9.7b2(*.f64 a1 a1)
9.7b2(*.f64 a1 a1)
10.2b2(*.f64 a2 a2)
Compiler

Compiled 398 to 264 computations (33.7% saved)

bsearch65.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
65.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes757.0ms (4.4%)

Counts
40 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
Outputs
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2)
Calls

8 calls:

261.0ms
th
114.0ms
(cos.f64 th)
64.0ms
(*.f64 a2 a2)
60.0ms
(*.f64 a1 a1)
60.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
4.4b2a1
6.1b2a2
18.7b6th
23.5b3(cos.f64 th)
9.7b2(*.f64 a1 a1)
9.7b2(*.f64 a1 a1)
10.2b2(*.f64 a2 a2)
10.2b2(*.f64 a2 a2)
Compiler

Compiled 386 to 259 computations (32.9% saved)

bsearch205.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
204.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes728.0ms (4.2%)

Counts
36 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
Outputs
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2))
Calls

8 calls:

138.0ms
th
111.0ms
(*.f64 a1 a1)
102.0ms
(*.f64 a1 a1)
92.0ms
(cos.f64 th)
81.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
4.4b2a1
6.1b2a2
18.7b6th
23.5b3(cos.f64 th)
9.7b2(*.f64 a1 a1)
9.7b2(*.f64 a1 a1)
10.2b2(*.f64 a2 a2)
10.2b2(*.f64 a2 a2)
Compiler

Compiled 350 to 241 computations (31.1% saved)

bsearch70.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
69.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes363.0ms (2.1%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
Outputs
(*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

8 calls:

96.0ms
th
76.0ms
a2
64.0ms
a1
31.0ms
(*.f64 a2 a2)
30.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
14.4b2a1
16.9b2a2
21.7b5th
25.4b1(cos.f64 th)
17.5b2(*.f64 a1 a1)
17.5b2(*.f64 a1 a1)
18.3b4(*.f64 a2 a2)
18.3b4(*.f64 a2 a2)
Compiler

Compiled 323 to 228 computations (29.4% saved)

bsearch100.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
99.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes451.0ms (2.6%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
Outputs
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

8 calls:

138.0ms
th
134.0ms
(*.f64 a2 a2)
54.0ms
a2
32.0ms
a1
30.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
14.4b2a1
16.9b2a2
21.8b5th
25.4b1(cos.f64 th)
17.5b2(*.f64 a1 a1)
17.5b2(*.f64 a1 a1)
18.4b4(*.f64 a2 a2)
18.4b4(*.f64 a2 a2)
Compiler

Compiled 314 to 223 computations (29% saved)

bsearch104.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
103.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes578.0ms (3.4%)

Counts
31 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 a1 (neg.f64 a1)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(-.f64 (+.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 1 (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a1 (neg.f64 a1)))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (*.f64 th (*.f64 th -1/2))))
(/.f64 (*.f64 (+.f64 1 (*.f64 th (*.f64 th -1/2))) a1) (/.f64 (sqrt.f64 2) a1))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (+.f64 1 (*.f64 th (*.f64 th -1/2)))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 2 -1/4) a1) 2)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
Outputs
(*.f64 a1 (*.f64 (sqrt.f64 1/2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

7 calls:

130.0ms
th
114.0ms
a2
91.0ms
(*.f64 a1 a1)
82.0ms
a1
79.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
27.9b2a1
28.7b2a2
35.4b5th
31.1b2(*.f64 a1 a1)
31.1b2(*.f64 a1 a1)
30.7b2(*.f64 a2 a2)
30.7b2(*.f64 a2 a2)
Compiler

Compiled 300 to 213 computations (29% saved)

bsearch123.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
122.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes91.0ms (0.5%)

Accuracy

Total -27.9b remaining (-100%)

Threshold costs -27.9b (-100%)

Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Outputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

4 calls:

40.0ms
th
22.0ms
a2
14.0ms
(*.f64 a1 a1)
13.0ms
a1
Results
ErrorSegmentsBranch
27.9b2a1
28.7b2a2
35.4b5th
31.1b2(*.f64 a1 a1)
Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch132.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
132.0ms
-3.8590418092419056e-143
-1.3205253355598545e-145
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053340
175340
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (sqrt.f64 1/2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2)))) (/.f64 (*.f64 a2 (*.f64 (cos.f64 th) a2)) (sqrt.f64 2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2)))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) a2))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2)))) (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2))))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2)))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (/.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1)) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 (sqrt.f64 1/2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a1 -8477293178377609/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
Compiler

Compiled 261 to 183 computations (29.9% saved)

soundness0.0ms (0%)

end131.0ms (0.8%)

Remove

(sort a1 a2)

Compiler

Compiled 269 to 159 computations (40.9% saved)

Profiling

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