Details

Time bar (total: 9.0s)

analyze3.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample5.8s (64.5%)

Results
3.9s4276×body2048valid
1.4s2071×body1024valid
296.0ms978×body512valid
102.0ms931×body256valid
1.0ms6×body256invalid

preprocess59.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
802×associate-/l*_binary64
624×fma-def_binary64
581×fma-neg_binary64
548×unswap-sqr_binary64
536×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
12013
23613
36013
412213
527213
669713
7169913
8311013
9751313
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify43.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
802×associate-/l*_binary64
624×fma-def_binary64
581×fma-neg_binary64
548×unswap-sqr_binary64
536×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
12013
23613
36013
412213
527213
669713
7169913
8311013
9751313
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

eval1.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
27.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.2b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
▶27.2b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.0b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0b
(+.f64 (exp.f64 (neg.f64 x)) -2)
✓0.0b
(+.f64 (exp.f64 (neg.f64 x)) -2)
✓6.0b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0ms
x
@-inf
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0ms
x
@inf
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0ms
x
@0
(+.f64 (exp.f64 (neg.f64 x)) -2)
0.0ms
x
@-inf
(+.f64 (exp.f64 (neg.f64 x)) -2)

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
853×pow1_binary64
802×add-log-exp_binary64
799×log1p-expm1-u_binary64
799×expm1-log1p-u_binary64
788×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117915
2261315
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 1 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 3) -8) (+.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) (-.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2 (cosh.f64 x)) (*.f64 2 (cosh.f64 x))) 4) (-.f64 (*.f64 2 (cosh.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 2)) (/.f64 4 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))) (+.f64 -8 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
749×unswap-sqr_binary64
699×distribute-lft-out_binary64
684×distribute-rgt-out_binary64
623×fma-def_binary64
559×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045271
1110263
2259260
3856255
43726255
Stop Event
1×node limit
Counts
89 → 86
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 (*.f64 x x) 1/2 (fma.f64 x -1 -1))
(-.f64 (fma.f64 x (*.f64 x 1/2) -1) x)
(fma.f64 x (fma.f64 x 1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) -1) x))
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (-.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.1b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0b
(-.f64 (exp.f64 x) 2)
✓0.0b
(-.f64 (exp.f64 x) 2)
✓5.1b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms
x
@0
(-.f64 (exp.f64 x) 2)
0.0ms
x
@inf
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms
x
@-inf
(-.f64 (exp.f64 x) 2)
0.0ms
x
@-inf
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
869×pow1_binary64
818×add-log-exp_binary64
815×log1p-expm1-u_binary64
815×expm1-log1p-u_binary64
804×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
118117
2264617
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) 1)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) 2) 1)) (*.f64 (+.f64 (exp.f64 x) 2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (-.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))))))

simplify59.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
749×unswap-sqr_binary64
683×distribute-rgt-out_binary64
670×distribute-lft-out_binary64
561×associate-*l*_binary64
554×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043202
1107196
2240196
3755191
43282191
57735191
Stop Event
1×node limit
Counts
90 → 92
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) -1))
(+.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) x))

eval50.0ms (0.6%)

Compiler

Compiled 2550 to 1494 computations (41.4% saved)

prune55.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1717178
Fresh000
Picked101
Done011
Total1728180
Error
0b
Counts
180 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
27.1b
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
▶27.2b
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
▶0.3b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
▶0.9b
(*.f64 x x)
▶0.2b
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
▶27.2b
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
✓27.2b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.2b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
Compiler

Compiled 177 to 125 computations (29.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
0.1b
(*.f64 1/360 (pow.f64 x 6))
✓0.1b
(*.f64 1/360 (pow.f64 x 6))
✓0.1b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))

series4.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
1.0ms
x
@0
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
1.0ms
x
@-inf
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
0.0ms
x
@0
(*.f64 1/360 (pow.f64 x 6))
0.0ms
x
@inf
(*.f64 1/360 (pow.f64 x 6))

rewrite50.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
121421
2224521
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 1/360 (pow.f64 x 6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) (cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 2)) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3)) (+.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 12) 1/129600) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (pow.f64 x 12) 1/129600)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/360) (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/360) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 1/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/360) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))))))

simplify111.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
845×sqr-pow_binary64
577×cube-prod_binary64
491×associate-*l*_binary64
475×fabs-mul_binary64
467×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011147
123147
248147
3117147
4386147
51479147
62937147
73275147
83544147
93808147
104154147
114603147
125167147
135795147
146561147
157014147
167520147
Stop Event
1×node limit
Counts
44 → 35
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))

localize2.0ms (0%)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.1b
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
✓4.1b
(+.f64 -2 (*.f64 2 (cosh.f64 x)))

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
1.0ms
x
@inf
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
1.0ms
x
@0
(+.f64 -2 (*.f64 2 (cosh.f64 x)))

rewrite43.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
754×pow1_binary64
704×add-log-exp_binary64
702×log1p-expm1-u_binary64
702×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11547
218877
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2 (cosh.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))) (/.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (/.f64 1 (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) (-.f64 (*.f64 2 (cosh.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (/.f64 1 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) (-.f64 (*.f64 2 (cosh.f64 x)) -2))) (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -2 (*.f64 -2 (cosh.f64 x))) (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) (-.f64 (*.f64 2 (cosh.f64 x)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (-.f64 4 (*.f64 -4 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -2 (*.f64 -2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3)))) (neg.f64 (+.f64 4 (*.f64 (*.f64 2 (cosh.f64 x)) (-.f64 (*.f64 2 (cosh.f64 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2)))) (neg.f64 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) 4) (-.f64 (*.f64 2 (cosh.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (cosh.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cosh.f64 x) 2 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (cosh.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (cosh.f64 x) -2)))))))

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
593×distribute-rgt-out_binary64
413×unswap-sqr_binary64
378×distribute-lft-out_binary64
327×*-commutative_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026168
163162
2142162
3414162
41803162
54238162
64848162
76359162
Stop Event
1×node limit
Counts
44 → 42
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
✓0.0b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
0.0ms
x
@0
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
0.0ms
x
@-inf
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))

rewrite39.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
562×pow1_binary64
525×add-log-exp_binary64
525×log1p-expm1-u_binary64
525×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114511
2150811
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) (pow.f64 x 6)) (+.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))))

simplify138.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1075×sqr-pow_binary64
963×fma-def_binary64
520×pow-sqr_binary64
452×cube-prod_binary64
367×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09135
118117
238117
384117
4272117
51194117
62529117
73204117
83415117
93656117
103951117
114337117
124797117
135331117
145959117
156708117
167020117
177246117
187448117
197506117
207530117
Stop Event
1×node limit
Counts
33 → 26
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.1b
(+.f64 -2 (*.f64 2 (cosh.f64 x)))
4.1b
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
✓4.1b
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
4.1b
(+.f64 -2 (*.f64 2 (cosh.f64 x)))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
0.0ms
x
@inf
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
0.0ms
x
@-inf
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))

rewrite44.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
826×pow1_binary64
769×add-log-exp_binary64
767×log1p-expm1-u_binary64
767×expm1-log1p-u_binary64
755×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099
11787
220827
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (cosh.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2 (cosh.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))) (/.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (*.f64 (pow.f64 (cosh.f64 x) 3) 8)) (/.f64 1 (+.f64 4 (-.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (*.f64 -4 (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (*.f64 2 (cosh.f64 x)) 2)) (/.f64 1 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (*.f64 -4 (cosh.f64 x)))) (+.f64 -8 (*.f64 (pow.f64 (cosh.f64 x) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -2 (*.f64 -2 (cosh.f64 x))) (-.f64 4 (pow.f64 (*.f64 2 (cosh.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (*.f64 (pow.f64 (cosh.f64 x) 3) 8)) (+.f64 4 (-.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (*.f64 -4 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (*.f64 (pow.f64 (cosh.f64 x) 3) 8)) (+.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (-.f64 4 (*.f64 -4 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (*.f64 2 (cosh.f64 x)) 2)) (+.f64 -2 (*.f64 -2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (*.f64 (pow.f64 (cosh.f64 x) 3) 8))) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) (*.f64 -4 (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 2 (cosh.f64 x)) 2))) (neg.f64 (+.f64 -2 (*.f64 -2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) 2) 4) (-.f64 (*.f64 2 (cosh.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (cosh.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cosh.f64 x) 2 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (cosh.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (cosh.f64 x) -2)))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
593×distribute-rgt-out_binary64
413×unswap-sqr_binary64
378×distribute-lft-out_binary64
327×*-commutative_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026168
163162
2142162
3414162
41803162
54238162
64848162
76359162
Stop Event
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

eval67.0ms (0.7%)

Compiler

Compiled 2677 to 1969 computations (26.4% saved)

prune31.0ms (0.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1874191
Fresh112
Picked011
Done325
Total1918199
Error
0b
Counts
199 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.1b
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
✓27.2b
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
▶0.2b
(fma.f64 x x (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)))
▶0.3b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
✓27.2b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
▶0.3b
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓0.9b
(*.f64 x x)
▶27.2b
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
Compiler

Compiled 148 to 97 computations (34.5% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x 1/360)
0.1b
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
0.0b
(fma.f64 x (*.f64 x 1/360) 1/12)
✓0.0b
(fma.f64 x (*.f64 x 1/360) 1/12)
✓0.1b
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
✓0.2b
(*.f64 x 1/360)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
1.0ms
x
@0
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
1.0ms
x
@0
(*.f64 x 1/360)
1.0ms
x
@-inf
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
0.0ms
x
@-inf
(*.f64 x 1/360)

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
794×pow1_binary64
740×add-log-exp_binary64
740×log1p-expm1-u_binary64
740×expm1-log1p-u_binary64
725×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
118826
2203726
Stop Event
1×node limit
Counts
3 → 47
Calls
Call 1
Inputs
(*.f64 x 1/360)
(*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))
(fma.f64 x (*.f64 x 1/360) 1/12)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/360) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/360) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/360)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/360) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/360)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/360)) (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) (*.f64 x (*.f64 x 1/360))) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3) (pow.f64 (pow.f64 x 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/12 (*.f64 x (*.f64 x 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/360)) 1) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/360) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/360) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/360)) 3) 1/1728) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/360)) (*.f64 x (*.f64 x 1/360))) (-.f64 1/144 (*.f64 (*.f64 x (*.f64 x 1/360)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/360)) (*.f64 x (*.f64 x 1/360))) 1/144) (-.f64 (*.f64 x (*.f64 x 1/360)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))))

simplify147.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1143×sqr-pow_binary64
753×cube-prod_binary64
697×pow-sqr_binary64
429×unpow3_binary64
426×cube-mult_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016300
134282
266282
3172282
4662282
51756282
62106282
72303282
82497282
92748282
103063282
113465282
123886282
134378282
144981282
155235282
165483282
175745282
186015282
196277282
207682282
Stop Event
1×node limit
Counts
83 → 57
Calls
Call 1
Inputs
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
1/12
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 2))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 2))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
Outputs
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/360 x)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
1/12
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.1b
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
✓4.1b
(+.f64 (*.f64 2 (cosh.f64 x)) -2)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
0.0ms
x
@-inf
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
0.0ms
x
@inf
(+.f64 (*.f64 2 (cosh.f64 x)) -2)

rewrite75.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
745×pow1_binary64
695×add-log-exp_binary64
693×log1p-expm1-u_binary64
693×expm1-log1p-u_binary64
683×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11557
218737
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2 (cosh.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (fma.f64 2 (cosh.f64 x) 2)) (/.f64 4 (fma.f64 2 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (cosh.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (/.f64 1 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (-.f64 4 (*.f64 (cosh.f64 x) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4) (/.f64 1 (fma.f64 2 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (-.f64 4 (*.f64 (cosh.f64 x) -4))) (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (cosh.f64 x) 2) (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (-.f64 4 (*.f64 (cosh.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3))) (+.f64 4 (-.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (*.f64 (cosh.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4) (fma.f64 2 (cosh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (*.f64 8 (pow.f64 (cosh.f64 x) 3)))) (neg.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) (-.f64 4 (*.f64 (cosh.f64 x) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 4 (pow.f64 (cosh.f64 x) 2)) -4)) (neg.f64 (fma.f64 2 (cosh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 4 (pow.f64 (cosh.f64 x) 2))) (-.f64 -2 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (cosh.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (cosh.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cosh.f64 x) 2 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (cosh.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (cosh.f64 x) -2)))))))

simplify70.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
593×distribute-rgt-out_binary64
413×unswap-sqr_binary64
378×distribute-lft-out_binary64
327×*-commutative_binary64
319×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026168
163162
2142162
3414162
41803162
54238162
64848162
76359162
Stop Event
1×node limit
Counts
44 → 42
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/12 (pow.f64 x 4))
0.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
✓0.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
✓0.1b
(*.f64 1/12 (pow.f64 x 4))

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 1/12 (pow.f64 x 4))
0.0ms
x
@0
(*.f64 1/12 (pow.f64 x 4))
0.0ms
x
@inf
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.0ms
x
@0
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.0ms
x
@-inf
(*.f64 1/12 (pow.f64 x 4))

rewrite54.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
799×pow1_binary64
752×add-log-exp_binary64
752×log1p-expm1-u_binary64
752×expm1-log1p-u_binary64
735×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117818
2216118
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (/.f64 1 (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12)) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))))

simplify137.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1075×sqr-pow_binary64
963×fma-def_binary64
520×pow-sqr_binary64
452×cube-prod_binary64
367×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09135
118117
238117
384117
4272117
51194117
62529117
73204117
83415117
93656117
103951117
114337117
124797117
135331117
145959117
156708117
167020117
177246117
187448117
197506117
207530117
Stop Event
1×node limit
Counts
58 → 51
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/12 (pow.f64 x 4))
0.1b
(*.f64 1/12 (pow.f64 x 4))

rewrite0.0ms (0%)

Counts
0 → 0

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
0.0b
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))
0.0b
(fma.f64 (exp.f64 x) (exp.f64 x) -4)
0.0b
(+.f64 (exp.f64 x) 2)
✓0.0b
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))
✓0.0b
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
✓0.0b
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
✓6.7b
(+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
1.0ms
x
@-inf
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
1.0ms
x
@inf
(+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
1.0ms
x
@-inf
(+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
1.0ms
x
@0
(+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))

rewrite117.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
623×log-prod_binary64
475×fma-def_binary64
326×pow2_binary64
227×pow1/3_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01182
125178
2364978
Stop Event
1×node limit
Counts
4 → 210
Calls
Call 1
Inputs
(+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 -4 (pow.f64 (exp.f64 x) 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) 2) 2) (+.f64 (exp.f64 x) (-.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) 2) (+.f64 (exp.f64 x) (-.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 -4 (pow.f64 (exp.f64 x) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 -4 (pow.f64 (exp.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 -4 (pow.f64 (exp.f64 x) 2)) 2))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 -4 (pow.f64 (exp.f64 x) 2)) 2)) 2)))))) 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simplify109.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
909×fma-neg_binary64
737×associate-*r*_binary64
719×unswap-sqr_binary64
359×distribute-lft-out_binary64
318×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065842
1170748
2449736
31477735
43706735
56582735
Stop Event
1×node limit
Counts
258 → 247
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 13/4 (pow.f64 x 4))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 5)) (*.f64 13/4 (pow.f64 x 4)))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
3
(+.f64 3 (*.f64 4 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 3 (*.f64 4 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 5/3 (pow.f64 x 3)) (*.f64 4 x))))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
-3
(-.f64 (*.f64 -1 x) 3)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 23/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2)))) 3)
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 4 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x 4 3))
(*.f64 x (*.f64 x (fma.f64 x 4 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 13/4 (pow.f64 x 4))))
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (*.f64 13/4 (pow.f64 x 4))))
(fma.f64 13/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 x 4 3)))
(fma.f64 13/4 (pow.f64 x 4) (*.f64 x (*.f64 x (fma.f64 x 4 3))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 5)) (*.f64 13/4 (pow.f64 x 4)))))
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (fma.f64 2 (pow.f64 x 5) (*.f64 13/4 (pow.f64 x 4)))))
(+.f64 (*.f64 2 (pow.f64 x 5)) (fma.f64 13/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 x 4 3))))
(+.f64 (*.f64 2 (pow.f64 x 5)) (fma.f64 13/4 (pow.f64 x 4) (*.f64 x (*.f64 x (fma.f64 x 4 3)))))
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x)))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2)
(fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)
(fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/12 (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 (pow.f64 x 4) 1/12))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) (exp.f64 x)) (+.f64 2 (exp.f64 x)))
3
(+.f64 3 (*.f64 4 x))
(+.f64 3 (*.f64 x 4))
(fma.f64 x 4 3)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 3 (*.f64 4 x)))
(fma.f64 3 (*.f64 x x) (+.f64 3 (*.f64 x 4)))
(fma.f64 3 (*.f64 x x) (fma.f64 x 4 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 5/3 (pow.f64 x 3)) (*.f64 4 x))))
(fma.f64 3 (*.f64 x x) (+.f64 3 (fma.f64 5/3 (pow.f64 x 3) (*.f64 x 4))))
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 x 4 3)) (*.f64 (pow.f64 x 3) 5/3))
(fma.f64 3 (*.f64 x x) (fma.f64 x 4 (fma.f64 (pow.f64 x 3) 5/3 3)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))
-3
(-.f64 (*.f64 -1 x) 3)
(fma.f64 -1 x -3)
(fma.f64 x -1 -3)
(-.f64 -3 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -1 x (*.f64 (*.f64 x x) 5/2)) -3)
(fma.f64 x -1 (fma.f64 (*.f64 x x) 5/2 -3))
(fma.f64 (*.f64 x x) 5/2 (-.f64 -3 x))
(-.f64 (fma.f64 x (*.f64 x 5/2) -3) x)
(-.f64 (+.f64 (*.f64 23/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2)))) 3)
(+.f64 (fma.f64 23/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (*.f64 x x) 5/2))) -3)
(fma.f64 (pow.f64 x 3) 23/6 (fma.f64 x -1 (fma.f64 (*.f64 x x) 5/2 -3)))
(fma.f64 (pow.f64 x 3) 23/6 (fma.f64 (*.f64 x x) 5/2 (-.f64 -3 x)))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 5/2 (*.f64 x 23/6)) -3) x)
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4))
(+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))

eval253.0ms (2.8%)

Compiler

Compiled 9228 to 5513 computations (40.3% saved)

prune73.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New4062408
Fresh000
Picked101
Done167
Total4088416
Error
0b
Counts
416 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(fma.f64 x x (*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360)))))
✓27.2b
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
✓27.2b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
✓0.3b
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
▶27.2b
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
✓0.9b
(*.f64 x x)
✓27.2b
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
✓0.3b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Compiler

Compiled 86 to 60 computations (30.2% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))
0.0b
(+.f64 (exp.f64 x) 2)
0.0b
(-.f64 (pow.f64 (exp.f64 x) 2) 4)
0.0b
(pow.f64 (exp.f64 x) 2)
✓0.0b
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
✓0.0b
(+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))
✓0.0b
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
✓7.2b
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))

series5.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
1.0ms
x
@inf
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
1.0ms
x
@-inf
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
1.0ms
x
@-inf
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
0.0ms
x
@0
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))

rewrite112.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
763×log-prod_binary64
763×fma-def_binary64
376×fma-neg_binary64
274×expm1-udef_binary64
274×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01384
131371
2464171
Stop Event
1×node limit
Counts
4 → 232
Calls
Call 1
Inputs
(+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)))) (/.f64 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 2) (-.f64 2 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)) 2) (cbrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)) (sqrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 3)) (/.f64 1 (fma.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 2)) (/.f64 1 (-.f64 2 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) -2) 4) (+.f64 8 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3))) (-.f64 4 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 3)) (fma.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 3)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 2) (-.f64 4 (*.f64 2 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 2)) (-.f64 2 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) 2)) (-.f64 (+.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (exp.f64 x)) (exp.f64 (+.f64 2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))) (exp.f64 (+.f64 2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (exp.f64 x)) (+.f64 1 (expm1.f64 (+.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))) (+.f64 1 (expm1.f64 (+.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 (exp.f64 x)))) (pow.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 2 (exp.f64 x))) (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 2 (exp.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (exp.f64 x) (+.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 (exp.f64 x) -2)) (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) 1 (+.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2 (exp.f64 x)) 1 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) (+.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2)) (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 2 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))) 2) (+.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 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(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) 3) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (exp.f64 x)) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (pow.f64 (exp.f64 x) 3)) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (*.f64 -4 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (*.f64 -4 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4))) 1))))))

simplify60.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
836×distribute-rgt-out_binary64
728×associate-*l*_binary64
690×fma-neg_binary64
524×associate-*r*_binary64
364×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061489
1160437
2416430
31403426
44341424
57731424
Stop Event
1×node limit
Counts
256 → 264
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 13/4 (pow.f64 x 4))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 5)) (*.f64 13/4 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
-2
(-.f64 (*.f64 3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3))) 2)
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 13/4 (pow.f64 x 4)))) 2)
-3
(-.f64 (*.f64 -1 x) 3)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 23/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2)))) 3)
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 4 (pow.f64 x 3)))
(fma.f64 4 (pow.f64 x 3) (*.f64 3 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x 4)))
(*.f64 x (*.f64 x (+.f64 3 (*.f64 x 4))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 13/4 (pow.f64 x 4))))
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (*.f64 13/4 (pow.f64 x 4))))
(fma.f64 13/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x 4))))
(*.f64 (*.f64 x x) (+.f64 3 (*.f64 x (+.f64 4 (*.f64 x 13/4)))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 5)) (*.f64 13/4 (pow.f64 x 4)))))
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (fma.f64 2 (pow.f64 x 5) (*.f64 13/4 (pow.f64 x 4)))))
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (fma.f64 13/4 (pow.f64 x 4) (*.f64 2 (pow.f64 x 5)))))
(fma.f64 3 (*.f64 x x) (fma.f64 2 (pow.f64 x 5) (*.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x 13/4)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12))
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/12)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/12 (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (+.f64 2 (exp.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) 1) (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (+.f64 (exp.f64 (+.f64 x x)) -3) (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -3) 2) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
-2
(-.f64 (*.f64 3 (pow.f64 x 2)) 2)
(fma.f64 3 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 4 (pow.f64 x 3))) 2)
(+.f64 (fma.f64 3 (*.f64 x x) (*.f64 4 (pow.f64 x 3))) -2)
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) -2))
(fma.f64 (*.f64 x x) (+.f64 3 (*.f64 x 4)) -2)
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 4 (pow.f64 x 3)) (*.f64 13/4 (pow.f64 x 4)))) 2)
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (*.f64 13/4 (pow.f64 x 4)))) -2)
(+.f64 (fma.f64 4 (pow.f64 x 3) (*.f64 13/4 (pow.f64 x 4))) (fma.f64 3 (*.f64 x x) -2))
(fma.f64 3 (*.f64 x x) (fma.f64 4 (pow.f64 x 3) (fma.f64 13/4 (pow.f64 x 4) -2)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x (+.f64 4 (*.f64 x 13/4))))) -2)
(fma.f64 (*.f64 x x) (+.f64 3 (*.f64 x (+.f64 4 (*.f64 x 13/4)))) -2)
-3
(-.f64 (*.f64 -1 x) 3)
(fma.f64 -1 x -3)
(fma.f64 x -1 -3)
(-.f64 -3 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -1 x (*.f64 (*.f64 x x) 5/2)) -3)
(fma.f64 x -1 (fma.f64 (*.f64 x x) 5/2 -3))
(-.f64 (fma.f64 x (*.f64 x 5/2) -3) x)
(fma.f64 x (*.f64 x 5/2) (-.f64 -3 x))
(-.f64 (+.f64 (*.f64 23/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 5/2 (pow.f64 x 2)))) 3)
(+.f64 (fma.f64 23/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (*.f64 x x) 5/2))) -3)
(fma.f64 (pow.f64 x 3) 23/6 (fma.f64 x -1 (fma.f64 (*.f64 x x) 5/2 -3)))
(fma.f64 (pow.f64 x 3) 23/6 (-.f64 (fma.f64 x (*.f64 x 5/2) -3) x))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 5/2 (*.f64 x 23/6)) -3) x)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x 1/360)
0.1b
(*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360))))
0.1b
(*.f64 x (*.f64 x 1/360))
0.0b
(+.f64 1/12 (*.f64 x (*.f64 x 1/360)))
✓0.0b
(+.f64 1/12 (*.f64 x (*.f64 x 1/360)))
✓0.1b
(*.f64 x (*.f64 x 1/360))
✓0.1b
(*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360))))
0.2b
(*.f64 x 1/360)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360))))
1.0ms
x
@0
(*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360))))
1.0ms
x
@inf
(*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360))))
0.0ms
x
@inf
(*.f64 x (*.f64 x 1/360))
0.0ms
x
@0
(*.f64 x (*.f64 x 1/360))

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
496×log-prod_binary64
370×exp-prod_binary64
344×prod-diff_binary64
329×pow-prod-down_binary64
268×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
122529
2278629
Stop Event
1×node limit
Counts
3 → 143
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360))))
(*.f64 x (*.f64 x 1/360))
(+.f64 1/12 (*.f64 x (*.f64 x 1/360)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 (pow.f64 x 6) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 6) 1/360) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/12) 1) (*.f64 (*.f64 (pow.f64 x 6) 1/360) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/360) 1/12))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/360) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/360) 1/12)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) (fma.f64 x (*.f64 x 1/360) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/12) 3) (pow.f64 (*.f64 (pow.f64 x 6) 1/360) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/12) 2) (-.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/360) 2) (*.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 (pow.f64 x 6) 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/12) 2) (pow.f64 (*.f64 (pow.f64 x 6) 1/360) 2)) (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 (pow.f64 x 6) 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 6) 1/46656000 1/1728) (pow.f64 x 4)) (fma.f64 (*.f64 x (*.f64 x 1/360)) (fma.f64 x (*.f64 x 1/360) -1/12) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/144 (*.f64 (pow.f64 x 4) 1/129600)) (pow.f64 x 4)) (-.f64 1/12 (*.f64 x (*.f64 x 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) 1/46656000 1/1728)) 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1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/12 (*.f64 (pow.f64 x 6) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) (*.f64 x (*.f64 x 1/360)) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/360) (pow.f64 x 5) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/360)) (pow.f64 x 4) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 4) 1/12) (*.f64 (pow.f64 x 6) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 6) 1/360) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) 1/12) (*.f64 (pow.f64 x 6) 1/360))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/360))) 2) 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x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3) (pow.f64 x 12))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/360))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/360)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/360)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/129600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/360))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/46656000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 1/360)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 1/360))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/46656000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/360))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/360)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 1/46656000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/360))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/360))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/360) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/144 (-.f64 1/12 (*.f64 x (*.f64 x 1/360)))) (/.f64 (*.f64 (pow.f64 x 4) 1/129600) (-.f64 1/12 (*.f64 x (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/360) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 1/46656000 1/1728) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x 1/360)) (fma.f64 x (*.f64 x 1/360) -1/12) 1/144)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/144 (*.f64 (pow.f64 x 4) 1/129600)) (/.f64 1 (-.f64 1/12 (*.f64 x (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x 1/360)) (fma.f64 x (*.f64 x 1/360) -1/12) 1/144) (fma.f64 (pow.f64 x 6) 1/46656000 1/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/12 (*.f64 x (*.f64 x 1/360))) (-.f64 1/144 (*.f64 (pow.f64 x 4) 1/129600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/46656000 1/1728) (fma.f64 (*.f64 x (*.f64 x 1/360)) (fma.f64 x (*.f64 x 1/360) -1/12) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/46656000 1/1728) (fma.f64 (pow.f64 x 4) 1/129600 (-.f64 1/144 (*.f64 1/12 (*.f64 x (*.f64 x 1/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/144 (*.f64 (pow.f64 x 4) 1/129600)) (-.f64 1/12 (*.f64 x (*.f64 x 1/360))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/46656000 1/1728)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x 1/360)) (fma.f64 x (*.f64 x 1/360) -1/12) 1/144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/144 (*.f64 (pow.f64 x 4) 1/129600))) (neg.f64 (-.f64 1/12 (*.f64 x (*.f64 x 1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 1/129600 -1/144) (fma.f64 x (*.f64 x 1/360) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x 1/360)) (fma.f64 x (*.f64 x 1/360) -1/12) 1/144) (fma.f64 (pow.f64 x 6) 1/46656000 1/1728)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/12 (*.f64 x (*.f64 x 1/360))) (-.f64 1/144 (*.f64 (pow.f64 x 4) 1/129600))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/360) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/360) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/360) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/360 (*.f64 x x) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/360) x 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/360)) 1 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/360 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/360))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/129600)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/129600)) (cbrt.f64 (*.f64 x (*.f64 x 1/360))) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/360)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/360)) x) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/360)) (*.f64 x (sqrt.f64 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/360)) (*.f64 (sqrt.f64 (*.f64 x 1/360)) x) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/360)) 2)) (cbrt.f64 (*.f64 x 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/360))) (sqrt.f64 (*.f64 x 1/360)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/360) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/360) (sqrt.f64 x)) (sqrt.f64 x) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/360) 1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/360) 1/12)) 1) 1))))))

simplify156.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1147×sqr-pow_binary64
753×cube-prod_binary64
697×pow-sqr_binary64
429×unpow3_binary64
426×cube-mult_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015336
132318
266318
3174318
4676318
51764318
62114318
72311318
82505318
92756318
103071318
113473318
123892318
134388318
144995318
155249318
165497318
175763318
186033318
196297318
207704318
Stop Event
1×node limit
Counts
179 → 151
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 2))
1/12
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 2))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(*.f64 1/360 (pow.f64 x 2))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
Outputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 1/360 (*.f64 x x) 1/12))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
1/12
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(*.f64 1/360 (pow.f64 x 2))
(*.f64 1/360 (*.f64 x x))
(*.f64 x (*.f64 x 1/360))
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)
(+.f64 1/12 (*.f64 1/360 (pow.f64 x 2)))
(+.f64 1/12 (*.f64 1/360 (*.f64 x x)))
(fma.f64 1/360 (*.f64 x x) 1/12)
(fma.f64 x (*.f64 x 1/360) 1/12)

eval215.0ms (2.4%)

Compiler

Compiled 10268 to 6149 computations (40.1% saved)

prune102.0ms (1.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4270427
Fresh000
Picked011
Done077
Total4278435
Error
0b
Counts
435 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(fma.f64 x x (*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360)))))
✓27.2b
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
✓27.2b
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
✓0.3b
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓27.2b
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
✓0.9b
(*.f64 x x)
✓27.2b
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
✓0.3b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Compiler

Compiled 86 to 60 computations (30.2% saved)

regimes25.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360)))))
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(fma.f64 x x (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/360) 1/12)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(/.f64 (+.f64 2 (+.f64 (exp.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (exp.f64 x)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
Outputs
(fma.f64 x x (*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360)))))
Calls

2 calls:

18.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 177 to 110 computations (37.9% saved)

regimes10.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
Calls

2 calls:

5.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 70 to 44 computations (37.1% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes105.0ms (1.2%)

Accuracy

Total -26.8b remaining (-3144.7%)

Threshold costs -26.8b (-3144.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(+.f64 (*.f64 2 (cosh.f64 x)) -2)
(*.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
Outputs
(*.f64 x x)
Calls

1 calls:

104.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 20 to 14 computations (30% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
12148
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x x)
Outputs
(fma.f64 x x (*.f64 (pow.f64 x 4) (+.f64 1/12 (*.f64 x (*.f64 x 1/360)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
(*.f64 x x)

end34.0ms (0.4%)

Stop Event
1×done
Compiler

Compiled 73 to 46 computations (37% saved)

Profiling

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