Details

Time bar (total: 15.8s)

analyze4.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
50%24.8%24.8%50.3%0%0%0%3
75%37.3%12.4%50.3%0%0%0%4
87.5%43.5%6.2%50.3%0%0%0%5
93.8%46.6%3.1%50.3%0%0%0%6
96.9%48.1%1.6%50.3%0%0%0%7
98.4%48.9%0.8%50.3%0%0%0%8
99.2%49.3%0.4%50.3%0%0%0%9
99.6%49.5%0.2%50.3%0%0%0%10
99.8%49.6%0.1%50.3%0%0%0%11
99.9%49.6%0%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample10.9s (68.7%)

Results
8.5s4099×body2048valid
1.6s2070×body1024valid
397.0ms1083×body512valid
188.0ms221×body4096valid
108.0ms783×body256valid
Bogosity

preprocess22.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21712
32512
43512
55312
69012
712412
816812
920412
1023012
1123212
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21712
32512
43512
55312
69012
712412
816812
920412
1023012
1123212
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
60.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.1b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
✓3.7b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
962×pow1_binary64
898×add-log-exp_binary64
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
117512
2248512
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (/.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (neg.f64 x)) (/.f64 1 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (/.f64 -1 (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (/.f64 -1 (tan.f64 x)) x)) (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (tan.f64 x) (neg.f64 x)) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (-.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (/.f64 -1 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 x -2) (/.f64 (/.f64 -1 (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (tan.f64 x) (neg.f64 x))) (neg.f64 (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (/.f64 -1 (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (tan.f64 x) 2)))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (tan.f64 x)) x) (*.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 (tan.f64 x))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (tan.f64 x) -1) x) (*.f64 x (*.f64 (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (*.f64 (tan.f64 x) -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (tan.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (neg.f64 (tan.f64 x)) 1)) (*.f64 (neg.f64 (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (tan.f64 x) -1) 1)) (*.f64 (*.f64 (tan.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 (tan.f64 x)) -1)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 (tan.f64 x) -1) -1)) (*.f64 (*.f64 (tan.f64 x) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (tan.f64 x) -1)) (*.f64 (tan.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 x -2)) (-.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (tan.f64 x))) 2) (cbrt.f64 (/.f64 -1 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (tan.f64 x))) (sqrt.f64 (/.f64 -1 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))))))

simplify150.0ms (1%)

Algorithm
1×egg-herbie
Rules
675×sqr-pow_binary64
624×unswap-sqr_binary64
594×cube-prod_binary64
554×fma-def_binary64
417×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030168
174162
2153162
3367162
4677162
51437162
62099162
73090162
83307162
93633162
104034162
114566162
125297162
136300162
146946162
157455162
167858162
Stop Event
1×node limit
Counts
62 → 61
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))

eval45.0ms (0.3%)

Compiler

Compiled 893 to 560 computations (37.3% saved)

prune12.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh000
Picked011
Done000
Total56662
Error
0.3b
Counts
62 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.1b
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
▶0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
▶0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.4b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
▶0.6b
(*.f64 1/3 x)
✓60.1b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
Compiler

Compiled 133 to 99 computations (25.6% saved)

localize37.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.1b
(*.f64 1/4725 (pow.f64 x 7))
0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.1b
(*.f64 1/4725 (pow.f64 x 7))
✓0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.4b
(*.f64 1/3 x)
Compiler

Compiled 85 to 68 computations (20% saved)

series7.0ms (0%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/45 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 1/4725 (pow.f64 x 7))
1.0ms
x
@0
(*.f64 2/945 (pow.f64 x 5))
1.0ms
x
@inf
(*.f64 1/45 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 1/4725 (pow.f64 x 7))

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
622×log-prod_binary64
378×pow2_binary64
307×pow-prod-down_binary64
266×expm1-udef_binary64
266×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01625
134425
2353825
Stop Event
1×node limit
Counts
4 → 80
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/4725 (pow.f64 x 7))
(*.f64 2/945 (pow.f64 x 5))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2025 (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 1/45))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4725 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/22325625 (pow.f64 x 14)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/22325625 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4725) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/4725 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 7 (log.f64 x) (log.f64 1/4725)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 1/4725)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 7 (log.f64 x) (log.f64 1/4725))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/4725 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/4725) (pow.f64 x 7/2))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/945 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 4/893025) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/893025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/945) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/945)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/945)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 5 (log.f64 x) (log.f64 2/945))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2))) 2))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
80 → 80
Calls
Call 1
Inputs
Outputs

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
0.4b
(*.f64 1/3 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify18.0ms (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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.3b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
1.0ms
x
@inf
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
0.0ms
x
@-inf
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
0.0ms
x
@0
(fma.f64 1/45 (*.f64 x x) 1/3)
0.0ms
x
@inf
(fma.f64 1/45 (*.f64 x x) 1/3)

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
612×pow1_binary64
570×add-log-exp_binary64
570×log1p-expm1-u_binary64
570×expm1-log1p-u_binary64
559×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
114219
2157119
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(fma.f64 1/45 (*.f64 x x) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/45 (*.f64 x x))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 1/45 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) 1/9) (-.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))

simplify176.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
534×fabs-mul_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013222
131204
261204
3134204
4336204
51386204
62757204
72943204
83194204
93481204
103860204
114370204
124977204
135689204
146160204
156481204
166753204
176921204
187013204
197690204
Stop Event
1×node limit
Counts
58 → 43
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.7b
(+.f64 (tan.f64 x) (neg.f64 x))
0.0b
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
0.0b
(/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x)
✓0.0b
(/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x)
✓0.0b
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
✓3.7b
(+.f64 (tan.f64 x) (neg.f64 x))
Compiler

Compiled 28 to 6 computations (78.6% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
1.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
1.0ms
x
@inf
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
1.0ms
x
@0
(+.f64 (tan.f64 x) (neg.f64 x))
1.0ms
x
@0
(/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x)

rewrite112.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
948×pow1_binary64
888×add-log-exp_binary64
887×log1p-expm1-u_binary64
887×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
116929
2294029
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(+.f64 (tan.f64 x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
(/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 x) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (cbrt.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (sqrt.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (/.f64 1 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tan.f64 x) x) (pow.f64 (+.f64 (tan.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (+.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2)) (+.f64 x (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2) (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (-.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (tan.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (tan.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)) (/.f64 x (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) (/.f64 1 (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) (*.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) x) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (tan.f64 x)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (tan.f64 x)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) 1) (/.f64 (/.f64 1 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (/.f64 (+.f64 (tan.f64 x) x) x) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) (sqrt.f64 (tan.f64 x))) (/.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (/.f64 (+.f64 (tan.f64 x) x) x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (/.f64 x (+.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (neg.f64 (tan.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) 1) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (tan.f64 x) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (tan.f64 x) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (tan.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 (tan.f64 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) x) x)))))))

simplify115.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
845×fma-def_binary64
740×distribute-lft-out_binary64
721×associate-*l*_binary64
698×distribute-rgt-out_binary64
555×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066478
1167460
2391460
31150460
44432460
56918460
67856460
Stop Event
1×node limit
Counts
158 → 155
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 62/2835 (pow.f64 x 8)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))))
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 17/315 (pow.f64 x 7) (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) 1/45))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/45)))
(fma.f64 1/3 x (fma.f64 (pow.f64 x 3) 1/45 (*.f64 (pow.f64 x 5) 2/945)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/4725))))
(fma.f64 1/3 x (fma.f64 (pow.f64 x 5) 2/945 (fma.f64 (pow.f64 x 3) 1/45 (*.f64 (pow.f64 x 7) 1/4725))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))
(fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4)))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4))))
(fma.f64 1/3 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 4) (*.f64 17/315 (pow.f64 x 6))))
(+.f64 (*.f64 17/315 (pow.f64 x 6)) (+.f64 (*.f64 62/2835 (pow.f64 x 8)) (+.f64 (*.f64 1/3 (pow.f64 x 2)) (*.f64 2/15 (pow.f64 x 4)))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 62/2835 (pow.f64 x 8) (fma.f64 1/3 (*.f64 x x) (*.f64 2/15 (pow.f64 x 4)))))
(fma.f64 17/315 (pow.f64 x 6) (fma.f64 2/15 (pow.f64 x 4) (fma.f64 1/3 (*.f64 x x) (*.f64 62/2835 (pow.f64 x 8)))))
(fma.f64 2/15 (pow.f64 x 4) (fma.f64 x (*.f64 1/3 x) (fma.f64 62/2835 (pow.f64 x 8) (*.f64 17/315 (pow.f64 x 6)))))
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
-1
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1)
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(+.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))

localize193.0ms (1.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.1b
(*.f64 2/945 (pow.f64 x 5))
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.4b
(*.f64 1/3 x)
Compiler

Compiled 52 to 41 computations (21.2% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify13.0ms (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

eval248.0ms (1.6%)

Compiler

Compiled 6047 to 3819 computations (36.8% saved)

prune101.0ms (0.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New34810358
Fresh000
Picked011
Done235
Total35014364
Error
0.2b
Counts
364 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
▶31.6b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
38.2b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
34.1b
(exp.f64 (log.f64 (*.f64 1/3 x)))
✓0.6b
(*.f64 1/3 x)
60.1b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓60.1b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
▶1.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
42.4b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
▶28.7b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
▶0.4b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
38.1b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
Compiler

Compiled 267 to 193 computations (27.7% saved)

localize87.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (*.f64 x x))
0.1b
(pow.f64 (*.f64 1/45 (*.f64 x x)) 3)
0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.0b
(-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓0.1b
(pow.f64 (*.f64 1/45 (*.f64 x x)) 3)
✓0.1b
(*.f64 1/45 (*.f64 x x))
✓0.2b
(*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
✓0.3b
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
Compiler

Compiled 143 to 85 computations (40.6% saved)

series12.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
2.0ms
x
@0
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
1.0ms
x
@inf
(*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
1.0ms
x
@0
(pow.f64 (*.f64 1/45 (*.f64 x x)) 3)
1.0ms
x
@-inf
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))

rewrite144.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
652×fma-def_binary64
384×fma-neg_binary64
319×expm1-udef_binary64
319×log1p-udef_binary64
252×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01770
140051
2535951
Stop Event
1×node limit
Counts
4 → 87
Calls
Call 1
Inputs
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
(*.f64 1/45 (*.f64 x x))
(pow.f64 (*.f64 1/45 (*.f64 x x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27))) (neg.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) 1) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))) 2)) (cbrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/91125 (pow.f64 x 6) 1/27)) (sqrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))) (sqrt.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27)) x) (neg.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27))) (neg.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/135) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/135)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/91125 (pow.f64 x 6)) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/91125 (pow.f64 x 6)) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/135)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/91125 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/91125 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/45))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/91125 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/45 (*.f64 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/45 (*.f64 (*.f64 (pow.f64 x 4) 1/45) (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/45 (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 1/2025 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/91125 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/91125 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2025 (*.f64 (pow.f64 x 4) (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/91125 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) 2) (*.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) 1/91125)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/91125 (pow.f64 x 6))) (sqrt.f64 (*.f64 1/91125 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/45) (*.f64 x (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/2025) (*.f64 (pow.f64 x 4) 1/45))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 1/45)) 3) (pow.f64 (*.f64 x (sqrt.f64 1/45)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/45) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/45) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/2025) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (pow.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) 2)) (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 (*.f64 x x) 1/2025)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 x x)) 1/45)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 x (sqrt.f64 1/45))) (*.f64 x (sqrt.f64 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 x 1/45)) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/91125) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/91125 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/756680642578125 (pow.f64 (pow.f64 x 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/91125 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/91125 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/91125 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/91125 (pow.f64 x 6))) 1))))))

simplify200.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
810×sqr-pow_binary64
793×cube-prod_binary64
598×fabs-mul_binary64
467×unswap-sqr_binary64
415×unpow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018369
139369
291369
3275369
41244369
52325369
62492369
72757369
83021369
93367369
103826369
114352369
124992369
135758369
146201369
156699369
167207369
177753369
Stop Event
1×node limit
Counts
135 → 95
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 x (*.f64 x 1/135))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))
(*.f64 1/91125 (pow.f64 x 6))

localize21.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.1b
(*.f64 1/45 (*.f64 x x))
0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
✓0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
0.1b
(*.f64 1/45 (*.f64 x x))
✓0.3b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
1.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
1.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
0.0ms
x
@0
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
0.0ms
x
@-inf
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)

rewrite102.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
894×pow1_binary64
840×add-log-exp_binary64
840×log1p-expm1-u_binary64
840×expm1-log1p-u_binary64
824×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
118119
2233019
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) 1) (*.f64 (*.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/45 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/45 (pow.f64 x 3))) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) x) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3))) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x 1/45) x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x 1/45)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/45)) x (*.f64 x 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x 1/45) x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/2025 (pow.f64 x 4)) (fma.f64 1/45 (*.f64 x x) -1/3)) (/.f64 1/9 (fma.f64 1/45 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x 1/45) x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)) 2) (cbrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)) (sqrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) (/.f64 1 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))) (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/45 (*.f64 x x) -1/3) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) (+.f64 1/9 (-.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) (fma.f64 1/45 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3))) (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (neg.f64 (fma.f64 1/45 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 1/2025 (pow.f64 x 4))) (-.f64 1/3 (*.f64 x (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x 1/45) x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 1/45) x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x 1/45) x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/45 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/45)) (*.f64 x (sqrt.f64 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/45) x 1/3)))))

simplify208.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
534×fabs-mul_binary64
502×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013222
131204
261204
3134204
4336204
51386204
62757204
72943204
83194204
93481204
103860204
114370204
124977204
135689204
146160204
156481204
166753204
176921204
187013204
197690204
Stop Event
1×node limit
Counts
81 → 66
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(*.f64 1/45 (pow.f64 x 2))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
1/3
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)
(+.f64 1/3 (*.f64 1/45 (pow.f64 x 2)))
(+.f64 1/3 (*.f64 1/45 (*.f64 x x)))
(fma.f64 1/45 (*.f64 x x) 1/3)
(fma.f64 x (*.f64 x 1/45) 1/3)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
28.3b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
0.2b
(*.f64 1/3 (*.f64 x x))
✓0.2b
(*.f64 1/3 (*.f64 x x))
✓28.3b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
Compiler

Compiled 21 to 9 computations (57.1% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
2.0ms
x
@-inf
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
1.0ms
x
@0
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
1.0ms
x
@inf
(*.f64 1/3 (*.f64 x x))
1.0ms
x
@0
(*.f64 1/3 (*.f64 x x))

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
816×pow1_binary64
762×add-log-exp_binary64
762×log1p-expm1-u_binary64
762×expm1-log1p-u_binary64
746×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115219
2204119
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 1/3 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (/.f64 (tan.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (*.f64 x x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (*.f64 x (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) 1) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/3 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 x (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 x))) (/.f64 1/3 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 x 4))) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 x) (sqrt.f64 (tan.f64 x))) (/.f64 x (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 1/9 (pow.f64 x 4)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))))

simplify107.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
613×associate-/l/_binary64
596×associate-/r/_binary64
586×associate-*r/_binary64
439×unswap-sqr_binary64
424×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030278
177278
2178278
3477278
41259278
52378278
65520278
76078278
86641278
97088278
107522278
Stop Event
1×node limit
Counts
81 → 68
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 -1/9 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 -1/9 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -1/9) 1/3))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 1/3 x (*.f64 -1/135 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (*.f64 -1/135 (pow.f64 x 5)))
(fma.f64 1/3 x (fma.f64 -1/9 (pow.f64 x 3) (*.f64 -1/135 (pow.f64 x 5))))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 -2/2835 (pow.f64 x 7) (*.f64 1/3 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -2/2835 (pow.f64 x 7))))
(fma.f64 1/3 x (fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 1/3 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 1/3 (*.f64 x x)) (sin.f64 x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (*.f64 x (*.f64 x (cos.f64 x))) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (*.f64 x x))
(*.f64 x (*.f64 1/3 x))

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.7b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
0.7b
(cbrt.f64 (*.f64 1/3 x))
0.4b
(*.f64 1/3 x)
0.4b
(*.f64 1/3 x)
✓0.7b
(cbrt.f64 (*.f64 1/3 x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series9.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@-inf
(cbrt.f64 (*.f64 1/3 x))
1.0ms
x
@inf
(cbrt.f64 (*.f64 1/3 x))

rewrite48.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
515×pow1_binary64
508×add-sqr-sqrt_binary64
487×add-log-exp_binary64
487×log1p-expm1-u_binary64
487×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114810
2137610
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(cbrt.f64 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (pow.f64 (*.f64 1/3 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
49 → 49
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
0.2b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.1b
(sqrt.f64 (*.f64 1/3 x))
✓0.1b
(sqrt.f64 (*.f64 1/3 x))
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.4b
(*.f64 1/3 x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms
x
@-inf
(sqrt.f64 (*.f64 1/3 x))
0.0ms
x
@0
(sqrt.f64 (*.f64 1/3 x))

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
497×pow1_binary64
486×add-sqr-sqrt_binary64
464×add-log-exp_binary64
464×log1p-expm1-u_binary64
464×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2131810
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(sqrt.f64 (*.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (*.f64 (pow.f64 (*.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 1/4)) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 1/3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/4) (pow.f64 (*.f64 1/3 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

eval267.0ms (1.7%)

Compiler

Compiled 8004 to 5507 computations (31.2% saved)

prune74.0ms (0.5%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New42112433
Fresh235
Picked011
Done178
Total42423447
Error
0b
Counts
447 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓31.6b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶31.6b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
▶28.7b
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
28.8b
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 (tan.f64 x)))
✓0.6b
(*.f64 1/3 x)
0.4b
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 (*.f64 x x) 1/2025)) (*.f64 x x)) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
28.7b
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 (tan.f64 x))))
0.4b
(/.f64 (*.f64 x (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (fma.f64 1/45 (*.f64 x x) -1/3))
1.8b
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
28.9b
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) (tan.f64 x))
✓60.1b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
▶28.7b
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
60.1b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
0.3b
(/.f64 (*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
38.1b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
▶0.1b
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
✓1.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
42.4b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
▶59.2b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓28.7b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
Compiler

Compiled 516 to 374 computations (27.5% saved)

localize38.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 x x) 1/135)
0.0b
(-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))
0.0b
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
0.0b
(/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))
✓0.0b
(/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))
✓0.0b
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
✓0.0b
(-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))
✓0.1b
(*.f64 (*.f64 x x) 1/135)
Compiler

Compiled 87 to 62 computations (28.7% saved)

series7.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
1.0ms
x
@inf
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
1.0ms
x
@0
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
1.0ms
x
@-inf
(-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))
1.0ms
x
@inf
(-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))

rewrite135.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
844×log-prod_binary64
312×expm1-udef_binary64
312×log1p-udef_binary64
307×fma-def_binary64
240×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01881
140981
2516375
Stop Event
1×node limit
Counts
4 → 236
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) 1/135)
(-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135))
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
(/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) 1/135))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/135) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/135) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/135) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/135) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/135) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/135) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/135)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/135)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/2460375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/18225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/135) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/2460375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 1/135)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 (*.f64 x x) -1/135) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)) (fma.f64 (neg.f64 (*.f64 x 1/135)) x (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)) (fma.f64 -1/135 (*.f64 x x) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)) (fma.f64 (*.f64 (*.f64 x x) -1/135) 1 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/135))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/18225)) (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2025 (pow.f64 x 4)) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/135 (fma.f64 1/2025 (pow.f64 x 4) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/135 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(pow.f64 x 6) 1/27))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/91125 (pow.f64 x 6) 1/27) (*.f64 x 1/135)))))))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
747×unswap-sqr_binary64
517×associate-*l*_binary64
473×associate-/r*_binary64
468×fma-def_binary64
402×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057572
1133568
2325552
3968552
44570552
Stop Event
1×node limit
Counts
284 → 266
Calls
Call 1
Inputs
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (pow.f64 x 2))
1/9
(+.f64 1/9 (*.f64 -1/135 (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(*.f64 1/2025 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4)))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(*.f64 1/2025 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4)))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
3
(+.f64 3 (*.f64 -1/5 (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4))))
(+.f64 3 (+.f64 (*.f64 -1/1125 (pow.f64 x 6)) (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4)))))
(/.f64 45 (pow.f64 x 2))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(/.f64 45 (pow.f64 x 2))
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
Outputs
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
(*.f64 1/135 (pow.f64 x 2))
(*.f64 1/135 (*.f64 x x))
1/9
(+.f64 1/9 (*.f64 -1/135 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 (*.f64 x x) -1/135))
(fma.f64 (*.f64 x x) -1/135 1/9)
(fma.f64 x (*.f64 x -1/135) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135))))
(fma.f64 x (*.f64 x -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135))))
(fma.f64 x (*.f64 x -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))
(*.f64 1/2025 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4)))
(fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4)))
(fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135)))
(fma.f64 x (*.f64 x -1/135) (*.f64 1/2025 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2025) -1/135))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135))))
(fma.f64 x (*.f64 x -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135))))
(fma.f64 x (*.f64 x -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))
(*.f64 1/2025 (pow.f64 x 4))
(+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4)))
(fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4)))
(fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135)))
(fma.f64 x (*.f64 x -1/135) (*.f64 1/2025 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2025) -1/135))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135))))
(fma.f64 x (*.f64 x -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))
(+.f64 1/9 (+.f64 (*.f64 -1/135 (pow.f64 x 2)) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 -1/135 (*.f64 x x) (*.f64 1/2025 (pow.f64 x 4))))
(+.f64 1/9 (fma.f64 1/2025 (pow.f64 x 4) (*.f64 x (*.f64 x -1/135))))
(fma.f64 x (*.f64 x -1/135) (fma.f64 1/2025 (pow.f64 x 4) 1/9))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))
3
(+.f64 3 (*.f64 -1/5 (pow.f64 x 2)))
(+.f64 3 (*.f64 (*.f64 x x) -1/5))
(fma.f64 (*.f64 x x) -1/5 3)
(fma.f64 x (*.f64 x -1/5) 3)
(+.f64 3 (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4))))
(+.f64 3 (fma.f64 -1/5 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/75)))
(+.f64 3 (fma.f64 (pow.f64 x 4) 1/75 (*.f64 (*.f64 x x) -1/5)))
(fma.f64 x (*.f64 x -1/5) (fma.f64 (pow.f64 x 4) 1/75 3))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/75) -1/5) 3)
(+.f64 3 (+.f64 (*.f64 -1/1125 (pow.f64 x 6)) (+.f64 (*.f64 -1/5 (pow.f64 x 2)) (*.f64 1/75 (pow.f64 x 4)))))
(+.f64 3 (fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 -1/5 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/75))))
(+.f64 3 (fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/75 (*.f64 (*.f64 x x) -1/5))))
(fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/5) (fma.f64 (pow.f64 x 4) 1/75 3)))
(fma.f64 x (*.f64 x -1/5) (fma.f64 -1/1125 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/75 3)))
(/.f64 45 (pow.f64 x 2))
(/.f64 45 (*.f64 x x))
(/.f64 (/.f64 45 x) x)
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 45 (*.f64 x x)) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4)))
(-.f64 (/.f64 (/.f64 45 x) x) (/.f64 675 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (-.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 675 (pow.f64 x 4))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 45 x) x) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (+.f64 (/.f64 675 (pow.f64 x 4)) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 45 (*.f64 x x)) (-.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 675 (pow.f64 x 4)) (/.f64 151875 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))) (-.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 (/.f64 45 x) x) (+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 -151875 (pow.f64 x 8)))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 -151875 (pow.f64 x 8)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4)))))
(/.f64 45 (pow.f64 x 2))
(/.f64 45 (*.f64 x x))
(/.f64 (/.f64 45 x) x)
(-.f64 (*.f64 45 (/.f64 1 (pow.f64 x 2))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 45 (*.f64 x x)) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4)))
(-.f64 (/.f64 (/.f64 45 x) x) (/.f64 675 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (*.f64 675 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (/.f64 675 (pow.f64 x 4)))
(+.f64 (/.f64 45 (*.f64 x x)) (-.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 675 (pow.f64 x 4))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 45 x) x) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 10125 (/.f64 1 (pow.f64 x 6))) (*.f64 45 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 675 (/.f64 1 (pow.f64 x 4))) (*.f64 151875 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 10125 (pow.f64 x 6))) (+.f64 (/.f64 675 (pow.f64 x 4)) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 45 (*.f64 x x)) (-.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 675 (pow.f64 x 4)) (/.f64 151875 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 45 (*.f64 x x)) (/.f64 -675 (pow.f64 x 4))) (-.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 151875 (pow.f64 x 8))))
(+.f64 (/.f64 (/.f64 45 x) x) (+.f64 (/.f64 10125 (pow.f64 x 6)) (+.f64 (/.f64 -675 (pow.f64 x 4)) (/.f64 -151875 (pow.f64 x 8)))))
(+.f64 (/.f64 45 (*.f64 x x)) (+.f64 (/.f64 -151875 (pow.f64 x 8)) (+.f64 (/.f64 10125 (pow.f64 x 6)) (/.f64 -675 (pow.f64 x 4)))))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.2b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
0.4b
(*.f64 1/3 x)
0.4b
(*.f64 1/3 x)
✓6.2b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
683×add-log-exp_binary64
683×log1p-expm1-u_binary64
683×expm1-log1p-u_binary64
673×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11564
221084
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/3 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/3 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) 2) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/3 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (+.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1) (-.f64 (fma.f64 1/3 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) (+.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/3 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -1)) (fma.f64 1/3 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/3 x -1) (fma.f64 1/3 x -1))) (-.f64 1 (fma.f64 1/3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1)) 2) (cbrt.f64 (fma.f64 1/3 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 x 1)) (sqrt.f64 (fma.f64 1/3 x 1)) -1)))))

simplify8.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
55 → 43
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
28.3b
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
0.4b
(/.f64 1/3 (tan.f64 x))
✓0.4b
(/.f64 1/3 (tan.f64 x))
✓28.3b
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1/3 (tan.f64 x))
0.0ms
x
@-inf
(/.f64 1/3 (tan.f64 x))
0.0ms
x
@0
(/.f64 1/3 (tan.f64 x))
0.0ms
x
@0
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
0.0ms
x
@-inf
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))

rewrite61.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
741×pow1_binary64
689×add-log-exp_binary64
689×log1p-expm1-u_binary64
689×expm1-log1p-u_binary64
674×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
115318
2191618
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
(/.f64 1/3 (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (tan.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 x) (*.f64 (*.f64 1/3 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 x) x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 1/3 x) x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/3 x) x) 1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/3 x) x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/3 x) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/9 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 1/3 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 (tan.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1/3 (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/3 (tan.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (tan.f64 x))) (cbrt.f64 (/.f64 1/9 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (/.f64 1/3 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (tan.f64 x))) (sqrt.f64 (/.f64 1/3 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (tan.f64 x))))))))

simplify90.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
993×fma-def_binary64
623×associate-/l/_binary64
590×associate-/r/_binary64
439×unswap-sqr_binary64
428×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042337
1108335
2252331
3688331
41752331
53159331
66479331
77277331
Stop Event
1×node limit
Counts
68 → 62
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1/9 x))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 -1/9 x) (*.f64 -1/135 (pow.f64 x 3))))
(+.f64 (*.f64 -2/2835 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 -1/9 x) (*.f64 -1/135 (pow.f64 x 3)))))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 -1/9 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 -1/9 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/9 (*.f64 x x) 1/3))
(*.f64 x (fma.f64 x (*.f64 x -1/9) 1/3))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 1/3 x (*.f64 -1/135 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (*.f64 -1/135 (pow.f64 x 5)))
(fma.f64 1/3 x (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -1/9 (pow.f64 x 3))))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 -2/2835 (pow.f64 x 7) (*.f64 1/3 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -2/2835 (pow.f64 x 7))))
(fma.f64 1/3 x (fma.f64 -2/2835 (pow.f64 x 7) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -1/9 (pow.f64 x 3)))))
(fma.f64 1/3 x (fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 1/3 (cos.f64 x))) (sin.f64 x))
(/.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 1 x)) (*.f64 -1/9 x))
(+.f64 (/.f64 1/3 x) (*.f64 x -1/9))
(fma.f64 x -1/9 (/.f64 1/3 x))
(+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 -1/9 x) (*.f64 -1/135 (pow.f64 x 3))))
(+.f64 (/.f64 1/3 x) (fma.f64 -1/9 x (*.f64 (pow.f64 x 3) -1/135)))
(+.f64 (/.f64 1/3 x) (fma.f64 x -1/9 (*.f64 (pow.f64 x 3) -1/135)))
(fma.f64 (pow.f64 x 3) -1/135 (fma.f64 x -1/9 (/.f64 1/3 x)))
(fma.f64 x -1/9 (fma.f64 (pow.f64 x 3) -1/135 (/.f64 1/3 x)))
(+.f64 (*.f64 -2/2835 (pow.f64 x 5)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (*.f64 -1/9 x) (*.f64 -1/135 (pow.f64 x 3)))))
(fma.f64 -2/2835 (pow.f64 x 5) (+.f64 (/.f64 1/3 x) (fma.f64 -1/9 x (*.f64 (pow.f64 x 3) -1/135))))
(+.f64 (fma.f64 x -1/9 (*.f64 (pow.f64 x 3) -1/135)) (fma.f64 (pow.f64 x 5) -2/2835 (/.f64 1/3 x)))
(fma.f64 (pow.f64 x 5) -2/2835 (fma.f64 (pow.f64 x 3) -1/135 (fma.f64 x -1/9 (/.f64 1/3 x))))
(fma.f64 x -1/9 (fma.f64 (pow.f64 x 5) -2/2835 (fma.f64 (pow.f64 x 3) -1/135 (/.f64 1/3 x))))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/3 (sin.f64 x)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/3 (sqrt.f64 x))
0.2b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 1/3 (sqrt.f64 x))
Compiler

Compiled 16 to 8 computations (50% saved)

series7.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 1/3 (sqrt.f64 x))
1.0ms
x
@0
(*.f64 1/3 (sqrt.f64 x))
1.0ms
x
@inf
(*.f64 1/3 (sqrt.f64 x))
0.0ms
x
@inf
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))

rewrite78.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
522×pow1_binary64
504×add-sqr-sqrt_binary64
484×add-log-exp_binary64
484×log1p-expm1-u_binary64
484×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
112110
2136210
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))))

simplify117.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1024×fma-def_binary64
799×fabs-mul_binary64
775×cube-prod_binary64
741×sqr-pow_binary64
409×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01148
12148
24048
37148
417048
554248
669848
792148
8140748
9162248
10248348
11330548
12362248
13401448
14449848
15513548
16604148
17722548
Stop Event
1×node limit
Counts
34 → 25
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
Outputs
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 -1/3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 1/3 x)
(*.f64 x 1/3)

localize22.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
28.3b
(/.f64 (tan.f64 x) (*.f64 x x))
0.3b
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
0.3b
(*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x)))
✓0.3b
(*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x)))
✓0.3b
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
✓28.3b
(/.f64 (tan.f64 x) (*.f64 x x))
Compiler

Compiled 33 to 12 computations (63.6% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
2.0ms
x
@inf
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
1.0ms
x
@0
(/.f64 (tan.f64 x) (*.f64 x x))
1.0ms
x
@0
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
1.0ms
x
@0
(*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x)))

rewrite100.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
119733
2250033
Stop Event
1×node limit
Counts
3 → 81
Calls
Call 1
Inputs
(/.f64 (tan.f64 x) (*.f64 x x))
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
(*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 x)) x) (/.f64 (sqrt.f64 (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (/.f64 (sqrt.f64 (tan.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) x) (/.f64 (cbrt.f64 (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) -2)) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x)) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 2) 9)) -1) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (tan.f64 x) 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 (tan.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (tan.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x)) (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 2) 9))) (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 x x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (*.f64 x x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (tan.f64 x) 3)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 x) 3) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 x) 3) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (tan.f64 x) 3) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (tan.f64 x)) 3) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (tan.f64 x) x) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (neg.f64 (tan.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (/.f64 (tan.f64 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) 3)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (pow.f64 x -2)) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (tan.f64 x) (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 x) (*.f64 (pow.f64 x -2) 3))))))))

simplify132.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1128×fma-def_binary64
439×unswap-sqr_binary64
415×sqr-pow_binary64
366×associate-/r*_binary64
350×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050541
1128537
2332537
3973537
42531537
55518537
66346537
76526537
86768537
97058537
107444537
Stop Event
1×node limit
Counts
117 → 109
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/3 x) (/.f64 1 x))
(+.f64 (*.f64 1/3 x) (+.f64 (/.f64 1 x) (*.f64 2/15 (pow.f64 x 3))))
(+.f64 (*.f64 17/315 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (+.f64 (/.f64 1 x) (*.f64 2/15 (pow.f64 x 3)))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(/.f64 3 x)
(+.f64 (*.f64 3 (/.f64 1 x)) x)
(+.f64 (*.f64 2/5 (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 x)) x))
(+.f64 (*.f64 17/105 (pow.f64 x 5)) (+.f64 (*.f64 2/5 (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 x)) x)))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/3 x) (/.f64 1 x))
(fma.f64 1/3 x (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(+.f64 (*.f64 1/3 x) (+.f64 (/.f64 1 x) (*.f64 2/15 (pow.f64 x 3))))
(fma.f64 1/3 x (+.f64 (/.f64 1 x) (*.f64 2/15 (pow.f64 x 3))))
(fma.f64 x 1/3 (fma.f64 2/15 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (*.f64 17/315 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (+.f64 (/.f64 1 x) (*.f64 2/15 (pow.f64 x 3)))))
(fma.f64 17/315 (pow.f64 x 5) (fma.f64 1/3 x (+.f64 (/.f64 1 x) (*.f64 2/15 (pow.f64 x 3)))))
(fma.f64 17/315 (pow.f64 x 5) (fma.f64 x 1/3 (fma.f64 2/15 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x 1/3 (fma.f64 17/315 (pow.f64 x 5) (fma.f64 2/15 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x (fma.f64 x (*.f64 x 2/15) 1/3) (fma.f64 17/315 (pow.f64 x 5) (/.f64 1 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x)))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 -1/9 (pow.f64 x 3) (*.f64 x 1/3))
(fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/9))
(*.f64 x (fma.f64 x (*.f64 x -1/9) 1/3))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 x 1/3)))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 x 1/3 (*.f64 (pow.f64 x 5) -1/135)))
(fma.f64 (pow.f64 x 5) -1/135 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/9)))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (*.f64 (pow.f64 x 5) -1/135))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 (pow.f64 x 5) -1/135 (fma.f64 -2/2835 (pow.f64 x 7) (*.f64 x 1/3))))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 (pow.f64 x 5) -1/135 (fma.f64 x 1/3 (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (fma.f64 -2/2835 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -1/135)))
(fma.f64 x 1/3 (fma.f64 (pow.f64 x 5) -1/135 (fma.f64 (pow.f64 x 3) -1/9 (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) x) 1/3)))
(*.f64 x (*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))))
(/.f64 3 x)
(+.f64 (*.f64 3 (/.f64 1 x)) x)
(+.f64 x (/.f64 3 x))
(+.f64 (*.f64 2/5 (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 x)) x))
(fma.f64 2/5 (pow.f64 x 3) (+.f64 x (/.f64 3 x)))
(+.f64 x (fma.f64 (pow.f64 x 3) 2/5 (/.f64 3 x)))
(+.f64 (/.f64 3 x) (fma.f64 (pow.f64 x 3) 2/5 x))
(+.f64 (*.f64 17/105 (pow.f64 x 5)) (+.f64 (*.f64 2/5 (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 x)) x)))
(fma.f64 17/105 (pow.f64 x 5) (fma.f64 2/5 (pow.f64 x 3) (+.f64 x (/.f64 3 x))))
(fma.f64 (pow.f64 x 5) 17/105 (+.f64 x (fma.f64 (pow.f64 x 3) 2/5 (/.f64 3 x))))
(fma.f64 (pow.f64 x 3) 2/5 (fma.f64 (pow.f64 x 5) 17/105 (+.f64 x (/.f64 3 x))))
(+.f64 x (fma.f64 (pow.f64 x 3) 2/5 (fma.f64 (pow.f64 x 5) 17/105 (/.f64 3 x))))
(+.f64 (fma.f64 (pow.f64 x 3) 2/5 (/.f64 3 x)) (fma.f64 (pow.f64 x 5) 17/105 x))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(*.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (cos.f64 x)))
(/.f64 3 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 x)))
(/.f64 3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 3 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 x))))

eval455.0ms (2.9%)

Compiler

Compiled 10983 to 7905 computations (28% saved)

prune134.0ms (0.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5241525
Fresh8210
Picked101
Done7512
Total5408548
Error
0b
Counts
548 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
60.1b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓60.1b
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
✓0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
✓59.2b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
0.4b
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 (*.f64 x x) 1/2025)) (*.f64 x x)) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
0.2b
(/.f64 x 3)
Compiler

Compiled 121 to 85 computations (29.8% saved)

regimes72.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 (*.f64 x x) 1/2025)) (*.f64 x x)) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 (tan.f64 x)))
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 (tan.f64 x))))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) (tan.f64 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
Outputs
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
Calls

2 calls:

58.0ms
x
4.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 362 to 232 computations (35.9% saved)

regimes44.0ms (0.3%)

Accuracy

Total -62.0b remaining (-24924.2%)

Threshold costs -62.0b (-24924.2%)

Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 x 3)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 (*.f64 x x) 1/2025)) (*.f64 x x)) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 (/.f64 1/3 (tan.f64 x)) (*.f64 x x))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(*.f64 (*.f64 1/3 (*.f64 x x)) (/.f64 1 (tan.f64 x)))
(*.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 (tan.f64 x))))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 3) 1/27) (+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x))) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(pow.f64 (*.f64 3 (/.f64 (tan.f64 x) (*.f64 x x))) -1)
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (neg.f64 x)) x) (tan.f64 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9)) (fma.f64 1/45 (*.f64 x x) -1/3))
(/.f64 (*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 2) (tan.f64 x))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
Outputs
(/.f64 x 3)
Calls

2 calls:

17.0ms
x
4.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 341 to 217 computations (36.4% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
3×distribute-rgt-neg-in_binary64
3×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02034
12634
24234
34834
45234
55334
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
(/.f64 x 3)
Outputs
(/.f64 x (/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) 1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
(/.f64 x (/.f64 (+.f64 (fma.f64 1/2025 (pow.f64 x 4) 1/9) (*.f64 (*.f64 x x) -1/135)) (fma.f64 1/91125 (pow.f64 x 6) 1/27)))
(/.f64 x 3)
Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness226.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
675×sqr-pow_binary64
624×unswap-sqr_binary64
594×cube-prod_binary64
554×fma-def_binary64
417×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11112
21712
32512
43512
55312
69012
712412
816812
920412
1023012
1123212
030168
174162
2153162
3367162
4677162
51437162
62099162
73090162
83307162
93633162
104034162
114566162
125297162
136300162
146946162
157455162
167858162
Stop Event
1×node limit
1×saturated
Compiler

Compiled 101 to 74 computations (26.7% saved)

end95.0ms (0.6%)

Compiler

Compiled 25 to 19 computations (24% saved)

Profiling

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