Details

Time bar (total: 12.7s)

analyze4.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
37.5%12.5%50%3
43.7%6.2%50%4
46.8%3.1%50%5
48.4%1.6%50%6
49.2%0.8%50%7
49.6%0.4%50%8
49.8%0.2%50%9
49.9%0.1%50%10
49.9%0%50%11
49.9%0%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample11.5s (90.1%)

Results
9.3s4391×body2048valid
1.6s2026×body1024valid
411.0ms1044×body512valid
137.0ms498×body256valid
54.0ms297×body128valid
Compiler

Compiled 30 to 20 computations (33.3% saved)

preprocess44.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
577×fma-def_binary64
278×fma-neg_binary64
235×times-frac_binary64
176×div-sub_binary64
119×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11111
21811
32911
45611
58611
615011
723811
838011
971411
10162811
11224911
12288211
13294511
14298311
15299311
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify35.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
577×fma-def_binary64
278×fma-neg_binary64
235×times-frac_binary64
176×div-sub_binary64
119×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11111
21811
32911
45611
58611
615011
723811
838011
971411
10162811
11224911
12288211
13294511
14298311
15299311
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
29.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶29.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓2.5b
(-.f64 x (sin.f64 x))

series4.0ms (0%)

Counts
2 → 18
Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
864×log1p-expm1-u_binary64
864×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64
76×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114017
2218417
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (sin.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1))))))

simplify30.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
714×fma-def_binary64
478×cancel-sign-sub-inv_binary64
387×unswap-sqr_binary64
346×fma-neg_binary64
272×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049272
1133266
2344262
31234248
44380248
Stop Event
1×node limit
Counts
91 → 93
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/362880 (pow.f64 x 9))))
x
x
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 23/360 (pow.f64 x 4)) (*.f64 11/15120 (pow.f64 x 6))))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 23/360 (pow.f64 x 4)) (+.f64 (*.f64 11/15120 (pow.f64 x 6)) (*.f64 143/604800 (pow.f64 x 8)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/120))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (fma.f64 1/5040 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/120)))
(fma.f64 (pow.f64 x 5) -1/120 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -1/120)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/5040 (pow.f64 x 7))))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/362880 (pow.f64 x 9))))
(-.f64 (fma.f64 1/5040 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9))))
(+.f64 (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/120))) (*.f64 -1/362880 (pow.f64 x 9)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 5) -1/120 (*.f64 (pow.f64 x 9) -1/362880))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 (pow.f64 x 9) -1/362880 (*.f64 (pow.f64 x 5) -1/120))))
(fma.f64 (pow.f64 x 5) -1/120 (fma.f64 (pow.f64 x 9) -1/362880 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7)))))
x
x
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 23/360 (pow.f64 x 4)) (*.f64 11/15120 (pow.f64 x 6))))
(-.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 23/360 (pow.f64 x 4) (*.f64 11/15120 (pow.f64 x 6))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360)) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (*.f64 (pow.f64 x 6) -11/15120)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 23/360 (pow.f64 x 4)) (+.f64 (*.f64 11/15120 (pow.f64 x 6)) (*.f64 143/604800 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (neg.f64 (fma.f64 23/360 (pow.f64 x 4) (fma.f64 11/15120 (pow.f64 x 6) (*.f64 143/604800 (pow.f64 x 8))))))
(-.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360)) (fma.f64 11/15120 (pow.f64 x 6) (*.f64 143/604800 (pow.f64 x 8))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (*.f64 (pow.f64 x 6) -11/15120))) (*.f64 (pow.f64 x 8) -143/604800))
(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) -11/15120 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 (pow.f64 x 8) -143/604800))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (fma.f64 (pow.f64 x 8) -143/604800 (*.f64 (pow.f64 x 6) -11/15120)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(-.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (cos.f64 x))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))

prune67.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh000
Picked101
Done000
Total91394
Error
0.2b
Counts
94 → 3
Alt Table
StatusErrorProgram
11.0b
(/.f64 (fma.f64 (pow.f64 x 5) -1/120 (fma.f64 (pow.f64 x 9) -1/362880 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
29.8b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
▶0.5b
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
Compiler

Compiled 1336 to 554 computations (58.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
✓0.1b
(*.f64 23/360 (pow.f64 x 4))
✓0.2b
(*.f64 1/6 (pow.f64 x 2))

series5.0ms (0%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 23/360 (pow.f64 x 4))
1.0ms
x
@0
(*.f64 1/6 (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 2))
1.0ms
x
@inf
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
1.0ms
x
@inf
(*.f64 23/360 (pow.f64 x 4))

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
471×log-prod_binary64
379×fma-def_binary64
190×expm1-udef_binary64
190×log1p-udef_binary64
175×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
125128
2287928
Stop Event
1×node limit
Counts
3 → 189
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 23/360 (pow.f64 x 4))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 23/360) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 23/360) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 23/360) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 23/360) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 23/360) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 23/360 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 23/360 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 23/360 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 12167/46656000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 23/360) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 12167/46656000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 23/360 (pow.f64 x 4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x 4) -23/360) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) (fma.f64 (pow.f64 x 4) -23/360 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x))) (fma.f64 (pow.f64 x 4) -23/360 (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 x 4) -23/360) 1 (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 23/360 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))) (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/216) (*.f64 (pow.f64 (pow.f64 x 4) 3) 12167/46656000)) (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (*.f64 23/360 (pow.f64 x 4)) (fma.f64 23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 529/129600)) (fma.f64 23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/216) (*.f64 (pow.f64 (pow.f64 x 4) 3) 12167/46656000))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/36 (*.f64 (*.f64 23/360 (pow.f64 x 4)) (fma.f64 23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 (pow.f64 x 8) 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simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
787×sqr-pow_binary64
386×associate-*l*_binary64
342×unswap-sqr_binary64
327×pow-sqr_binary64
288×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11921
23921
39021
427421
5111021
6185021
7197421
8214321
9234221
10261521
11297221
12342121
13394321
14457321
Stop Event
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))

prune264.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1884192
Fresh022
Picked011
Done000
Total1887195
Error
0.1b
Counts
195 → 7
Alt Table
StatusErrorProgram
11.0b
(/.f64 (fma.f64 (pow.f64 x 5) -1/120 (fma.f64 (pow.f64 x 9) -1/362880 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
0.9b
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))) 2))
16.8b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 23/360 (pow.f64 x 4)))
0.6b
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))
29.8b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
✓0.5b
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
▶0.4b
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
Compiler

Compiled 4609 to 3427 computations (25.6% saved)

localize5.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 x 4) -23/360)
✓0.1b
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
✓0.3b
(*.f64 x 1/6)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
1.0ms
x
@-inf
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
1.0ms
x
@0
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
0.0ms
x
@0
(*.f64 x 1/6)
0.0ms
x
@-inf
(*.f64 x 1/6)

rewrite42.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
784×pow1_binary64
731×log1p-expm1-u_binary64
731×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
85×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118825
2201925
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(*.f64 x 1/6)
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 (pow.f64 x 4) -23/360)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -23/360) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 (pow.f64 x 4) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) 1) (*.f64 (pow.f64 x 4) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) (pow.f64 (*.f64 (pow.f64 x 4) -23/360) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (-.f64 (*.f64 (pow.f64 x 8) 529/129600) (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 (pow.f64 x 4) -23/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 x (*.f64 x 1/6))) (*.f64 (pow.f64 x 8) 529/129600)) (-.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -23/360))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -23/360) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -23/360) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -23/360)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -23/360) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -23/360)) 1))))))

simplify39.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
872×fma-def_binary64
666×fma-neg_binary64
395×distribute-rgt-neg-in_binary64
349×cancel-sign-sub-inv_binary64
336×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014297
130279
263279
3186279
4750279
51829279
63094279
74840279
Stop Event
1×node limit
Counts
85 → 56
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -23/360 (pow.f64 x 4))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 1/6 x)))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)

prune68.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh055
Picked011
Done011
Total55863
Error
0.1b
Counts
63 → 8
Alt Table
StatusErrorProgram
29.8b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
11.4b
(fma.f64 x (cbrt.f64 (pow.f64 (*.f64 x 1/6) 3)) (*.f64 (pow.f64 x 4) -23/360))
11.0b
(/.f64 (fma.f64 (pow.f64 x 5) -1/120 (fma.f64 (pow.f64 x 9) -1/362880 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
0.9b
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))) 2))
16.8b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 23/360 (pow.f64 x 4)))
▶0.6b
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))
✓0.5b
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
✓0.4b
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
Compiler

Compiled 983 to 751 computations (23.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))
✓0.0b
(*.f64 x (sqrt.f64 1/6))
0.1b
(*.f64 23/360 (pow.f64 x 4))
✓0.3b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms
x
@0
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms
x
@inf
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms
x
@0
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))
0.0ms
x
@inf
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
506×log-prod_binary64
269×fma-def_binary64
203×expm1-udef_binary64
203×log1p-udef_binary64
165×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
126627
2308627
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 x (sqrt.f64 1/6))
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))
Outputs
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simplify30.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
806×fma-def_binary64
779×unswap-sqr_binary64
304×fma-neg_binary64
293×cancel-sign-sub-inv_binary64
218×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016431
135303
278303
3242303
41069303
53048303
Stop Event
1×node limit
Counts
198 → 168
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -23/360)
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x)) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))

prune206.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1822184
Fresh235
Picked011
Done022
Total1848192
Error
0.0b
Counts
192 → 8
Alt Table
StatusErrorProgram
32.3b
(fma.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))) (*.f64 (pow.f64 x 4) -23/360))
11.0b
(/.f64 (fma.f64 (pow.f64 x 5) -1/120 (fma.f64 (pow.f64 x 9) -1/362880 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))) (tan.f64 x))
16.8b
(-.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 23/360 (pow.f64 x 4)))
✓0.6b
(-.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 2) (*.f64 23/360 (pow.f64 x 4)))
0.5b
(-.f64 (*.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 x (sqrt.f64 1/6)))) (*.f64 23/360 (pow.f64 x 4)))
29.8b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
✓0.5b
(-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 23/360 (pow.f64 x 4)))
✓0.4b
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))
Compiler

Compiled 3735 to 2814 computations (24.7% saved)

regimes36.0ms (0.3%)

Accuracy

Total 0.4b remaining (91.6%)

Threshold costs 0.4b (91.6%)

Counts
41 → 1
Compiler

Compiled 526 to 370 computations (29.7% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11114
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))

end123.0ms (1%)

Stop Event
1×fuel
Compiler

Compiled 143 to 111 computations (22.4% saved)

Profiling

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