Details

Time bar (total: 17.9s)

analyze5.0ms (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)

sample12.3s (68.6%)

Results
9.9s4155×body2048valid
1.7s2087×body1024valid
290.0ms1013×body512valid
227.0ms228×body4096valid
114.0ms773×body256valid
Bogosity

preprocess32.0ms (0.2%)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
59.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
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)))

rewrite57.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
883×pow1_binary64
823×add-log-exp_binary64
823×log1p-expm1-u_binary64
823×expm1-log1p-u_binary64
805×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
116012
2236512
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 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) x) (/.f64 (/.f64 1 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (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 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))))) (#(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 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))) (-.f64 (pow.f64 x -3) (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) (pow.f64 (tan.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (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) x)) (neg.f64 (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (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)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 x)) (*.f64 x -1)) (*.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 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (*.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 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) (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 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 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 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)))))))

simplify141.0ms (0.8%)

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
55 → 54
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)))

eval17.0ms (0.1%)

Compiler

Compiled 777 to 491 computations (36.8% saved)

prune17.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New47754
Fresh000
Picked011
Done000
Total47855
Error
0.3b
Counts
55 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
▶59.6b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
0.3b
(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))))
▶0.3b
(+.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)))))
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.5b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
▶0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
▶0.8b
(*.f64 1/3 x)
Compiler

Compiled 189 to 141 computations (25.4% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/4725 (pow.f64 x 7))
✓0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.1b
(*.f64 2/945 (pow.f64 x 5))
✓0.3b
(*.f64 1/3 x)
Compiler

Compiled 85 to 68 computations (20% saved)

series8.0ms (0%)

Counts
4 → 0
Calls

12 calls:

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

rewrite75.0ms (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 2/945 (pow.f64 x 5))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/4725 (pow.f64 x 7))
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 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 4/893025 (pow.f64 x 10)) 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 4/893025 (pow.f64 x 10)))))) (#(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 (log.f64 (*.f64 2/945 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/945 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/945 (pow.f64 x 5)))) 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))))))
((#(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 (fma.f64 3 (log.f64 x) (log.f64 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/45)) 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 (pow.f64 x 14) 1/22325625) 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 (pow.f64 x 14) 1/22325625))))) (#(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))))))

simplify9.0ms (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 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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
@inf
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
1.0ms
x
@0
(*.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)

rewrite95.0ms (0.5%)

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)))))))

simplify175.0ms (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 3 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite62.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
120111
2239811
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 1/3 x) 2) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))) (/.f64 (*.f64 1/2025 (pow.f64 x 6)) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 1/2025 (pow.f64 x 6)) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))) (neg.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (pow.f64 (*.f64 1/3 x) 2)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 x (cbrt.f64 1/45)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))))))

simplify195.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
468×fabs-mul_binary64
442×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
11818
23518
36318
412018
533318
6121218
7189918
8198618
9211918
10227718
11251518
12283718
13326118
14376218
15436218
16508218
17540118
18568518
19590518
20608518
21616718
22710718
Stop Event
1×node limit
Counts
40 → 39
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
Outputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (tan.f64 x) x) x)
✓0.0b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓3.6b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 23 to 5 computations (78.3% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite125.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
496×prod-diff_binary64
436×log-prod_binary64
333×exp-prod_binary64
283×pow-prod-down_binary64
214×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0629
114829
2250429
Stop Event
1×node limit
Counts
3 → 218
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) x)
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (/.f64 x (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 x))) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 x) 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 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (tan.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (tan.f64 x) x) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (tan.f64 x) x) -1))) 1)))) (#(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 (/.f64 (tan.f64 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (tan.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -2)) (cbrt.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))) (#(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) -1)) (sqrt.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))) (#(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 (neg.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (neg.f64 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 (cbrt.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.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) 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 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (/.f64 x (cbrt.f64 x))) (cbrt.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.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) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (tan.f64 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (tan.f64 x) x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)) 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 pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (tan.f64 x) x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 (tan.f64 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (tan.f64 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (tan.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (tan.f64 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (tan.f64 x) x) -1) 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) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 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x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) -1)))))

simplify92.0ms (0.5%)

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
254 → 251
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))))

eval308.0ms (1.7%)

Compiler

Compiled 7749 to 4502 computations (41.9% saved)

prune150.0ms (0.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New45914473
Fresh022
Picked011
Done235
Total46120481
Error
0.1b
Counts
481 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.5b
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
42.1b
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))))
1.9b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
31.6b
(/.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))
▶0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
30.6b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
42.2b
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))))
46.4b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
✓59.6b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
▶40.0b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
31.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
▶0.3b
(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))))
31.6b
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))
✓0.3b
(+.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)))))
▶31.9b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶59.6b
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (tan.f64 x))))
✓0.8b
(*.f64 1/3 x)
39.9b
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
Compiler

Compiled 561 to 441 computations (21.4% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 62 to 39 computations (37.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(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))))
0.0ms
x
@inf
(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))))
0.0ms
x
@0
(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))))

rewrite117.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
563×log-prod_binary64
367×pow2_binary64
325×pow-prod-down_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
131825
2340625
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(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))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/945 (pow.f64 x 5)) 1) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7))) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 2) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))) 3)) (+.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 2) (-.f64 (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))) 2) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 2) (pow.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))) 2)) (-.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) (exp.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2/945 (pow.f64 x 5))) (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 1))))))

simplify152.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
675×sqr-pow_binary64
672×cube-prod_binary64
624×unswap-sqr_binary64
622×fabs-mul_binary64
443×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023192
161192
2132192
3318192
4608192
51346192
61974192
72923192
83077192
93324192
103639192
114120192
124799192
135693192
146337192
156846192
167249192
177624192
187844192
Stop Event
1×node limit
Counts
43 → 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 (*.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 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))
(+.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 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))
(+.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)))))
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))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.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)))
(+.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 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.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)))))
(*.f64 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))
(+.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 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) (*.f64 1/4725 (pow.f64 x 7))))
(+.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 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.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)))))
(*.f64 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))
(+.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 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) (*.f64 1/4725 (pow.f64 x 7))))
(+.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 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.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)))))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite234.0ms (1.3%)

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
0826
118126
2233026
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 1/45 (*.f64 x x))
(+.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 (*.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 (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 pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (pow.f64 x 4)))))) (#(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 cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3))))) (#(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 -.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)))))

simplify183.0ms (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
013306
131288
261288
3134288
4336288
51386288
62757288
72943288
83194288
93481288
103860288
114370288
124977288
135689288
146160288
156481288
166753288
176921288
187013288
197690288
Stop Event
1×node limit
Counts
104 → 77
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 1/45 (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))
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))
(*.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))
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)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (*.f64 1/3 x) 3)
0.3b
(*.f64 1/3 x)
✓39.5b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
520×pow1_binary64
512×add-sqr-sqrt_binary64
492×add-log-exp_binary64
492×log1p-expm1-u_binary64
492×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
115011
2141011
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (*.f64 1/3 x) 3)
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 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)) (pow.f64 (pow.f64 (*.f64 1/3 x) 2) 1/3))))) (#(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 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 2) 1/3) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/27 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 3/2) 1/3))))) (#(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 pow.f64 (*.f64 1/3 x) 1)))) (#(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 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 (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 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 (*.f64 1/27 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x (pow.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/3 (pow.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 x) (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (*.f64 (sqrt.f64 (*.f64 1/3 x)) (pow.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 3/2) (pow.f64 (*.f64 1/3 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 3) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3) (pow.f64 (sqrt.f64 (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 1/3 x) 2) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 1/3 x) 2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 1/3 x) 2) 1) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 1/3 x) 2) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 1/3 x) 2) (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/27 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 1/3 x))))))))

simplify175.0ms (1%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
475×fabs-mul_binary64
444×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013148
128148
258148
386148
4148148
5385148
61266148
71961148
82079148
92467148
102625148
112869148
123191148
133613148
144113148
154714148
165438148
175761148
186047148
196269148
206447148
216531148
227471148
Stop Event
1×node limit
Counts
75 → 53
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 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
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 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 (cbrt.f64 -1/27) (neg.f64 x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x)
✓0.0b
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (tan.f64 x))))
3.6b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 42 to 12 computations (71.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
572×prod-diff_binary64
495×log-prod_binary64
277×fma-def_binary64
234×pow2_binary64
220×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
122923
2373123
Stop Event
1×node limit
Counts
2 → 107
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (tan.f64 x)) (*.f64 (neg.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (tan.f64 x)) (/.f64 (tan.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (tan.f64 x)) (/.f64 (*.f64 x (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (tan.f64 x)) (/.f64 x (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (tan.f64 x)) x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (tan.f64 x) (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 x) (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (tan.f64 x)) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (/.f64 (tan.f64 x) (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (tan.f64 x) (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) x) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) (pow.f64 (tan.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) (pow.f64 (/.f64 1 (tan.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (tan.f64 x)) 3) (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x (tan.f64 x))) (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (/.f64 x (+.f64 x (tan.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (/.f64 (+.f64 x (tan.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 x (tan.f64 x)) (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) (pow.f64 (/.f64 1 (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (tan.f64 x)) 3) (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (tan.f64 x)) (*.f64 x (tan.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 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 0 x) (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (*.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2)) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 1))))))

simplify74.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
748×distribute-lft-out_binary64
697×distribute-rgt-out_binary64
634×fma-def_binary64
617×associate-*l*_binary64
489×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056336
1137318
2316318
3918318
43913318
56719318
Stop Event
1×node limit
Counts
131 → 129
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))
(*.f64 -1/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (+.f64 (*.f64 -62/2835 (pow.f64 x 8)) (*.f64 -17/315 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.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)))
(+.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 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 1/3 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 (/.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 x (*.f64 x -1/3))
(+.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)))
(fma.f64 x (*.f64 x -1/3) (*.f64 -2/15 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/15) -1/3))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -2/15) -1/3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6))))
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (*.f64 -17/315 (pow.f64 x 6))))
(fma.f64 x (*.f64 x -1/3) (fma.f64 -2/15 (pow.f64 x 4) (*.f64 -17/315 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/15) -1/3) (*.f64 -17/315 (pow.f64 x 6)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (+.f64 (*.f64 -62/2835 (pow.f64 x 8)) (*.f64 -17/315 (pow.f64 x 6)))))
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 -17/315 (pow.f64 x 6)))))
(fma.f64 x (*.f64 x -1/3) (fma.f64 -2/15 (pow.f64 x 4) (fma.f64 -17/315 (pow.f64 x 6) (*.f64 -62/2835 (pow.f64 x 8)))))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -62/2835 -2/15) (*.f64 -17/315 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
0.3b
(*.f64 1/3 x)
✓0.6b
(cbrt.f64 (*.f64 1/3 x))
✓32.3b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))
Compiler

Compiled 48 to 38 computations (20.8% saved)

series21.0ms (0.1%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
2.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))
2.0ms
x
@0
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
1.0ms
x
@-inf
(cbrt.f64 (*.f64 1/3 x))
1.0ms
x
@0
(cbrt.f64 (*.f64 1/3 x))

rewrite138.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
484×log-prod_binary64
429×prod-diff_binary64
368×exp-prod_binary64
300×pow-prod-down_binary64
274×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01339
127228
2279426
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))
(cbrt.f64 (*.f64 1/3 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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) (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule 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((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (cbrt.f64 (*.f64 1/3 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 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 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 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 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/2)))) (#(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 (exp.f64 1/3) (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 1/9)))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) 3/2)))) (#(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 pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(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 fabs.f64 (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 1/3 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 1/3 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 1/3 x))) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 1/3 x))) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 1/3 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 x (cbrt.f64 1/45)) 9)) (fma.f64 1/9 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (sqrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))) (pow.f64 (exp.f64 1/45) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 1) 1))))))

simplify162.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
471×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
11521
23221
35621
411421
532621
6118021
7186921
8195621
9208921
10224721
11248621
12280821
13323121
14373321
15433521
16505721
17537821
18566421
19588621
20606421
21614421
22708421
Stop Event
1×node limit
Counts
135 → 133
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))

eval646.0ms (3.6%)

Compiler

Compiled 11053 to 7029 computations (36.4% saved)

prune151.0ms (0.8%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New63512647
Fresh6511
Picked101
Done268
Total64423667
Error
0.0b
Counts
667 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.5b
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
1.2b
(*.f64 (pow.f64 1/27 1/3) x)
0.4b
(/.f64 (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) x) (fma.f64 1/45 (*.f64 x x) -1/3))
31.6b
(/.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))
✓0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
▶30.6b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶0.4b
(/.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))))
▶46.4b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
31.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
2.0b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
▶0.3b
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
✓0.3b
(+.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)))))
31.5b
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/15) -1/3) (*.f64 -17/315 (pow.f64 x 6))) (/.f64 1 (neg.f64 (tan.f64 x))))
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓59.6b
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (tan.f64 x))))
30.6b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
0.5b
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
31.9b
(*.f64 (*.f64 x (*.f64 x -1/3)) (/.f64 1 (neg.f64 (tan.f64 x))))
✓59.6b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
39.9b
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
▶59.0b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.8b
(*.f64 1/3 x)
Compiler

Compiled 519 to 393 computations (24.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
✓0.0b
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.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 71 to 45 computations (36.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
0.0ms
x
@inf
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
0.0ms
x
@-inf
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))

rewrite66.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
693×log-prod_binary64
563×prod-diff_binary64
291×expm1-udef_binary64
291×log1p-udef_binary64
244×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01625
135725
2416925
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/945 (pow.f64 x 5)) 1) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))) (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 2) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/945 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))) 3)) (fma.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 2/945 (pow.f64 x 5)) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))) 2) (*.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 2/945 (pow.f64 x 5))) (pow.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))) 2)) (-.f64 (*.f64 2/945 (pow.f64 x 5)) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) (exp.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) (exp.f64 (*.f64 2/945 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2/945 (pow.f64 x 5))) (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 1/4725 (pow.f64 x 7))))) 1))))))

simplify153.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
675×sqr-pow_binary64
672×cube-prod_binary64
624×unswap-sqr_binary64
622×fabs-mul_binary64
443×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023192
161192
2132192
3318192
4608192
51346192
61974192
72923192
83077192
93324192
103639192
114120192
124799192
135693192
146337192
156846192
167249192
177624192
187844192
Stop Event
1×node limit
Counts
42 → 42
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 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))
(+.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 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7))))
(+.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)))))
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))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.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)))
(+.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 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.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)))))
(*.f64 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))
(+.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 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) (*.f64 1/4725 (pow.f64 x 7))))
(+.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 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.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)))))
(*.f64 1/4725 (pow.f64 x 7))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/4725 (pow.f64 x 7)))
(fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))
(+.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 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) (*.f64 1/4725 (pow.f64 x 7))))
(+.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 x (fma.f64 x (*.f64 x 1/45) 1/3) (fma.f64 2/945 (pow.f64 x 5) (*.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)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓6.6b
(-.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)

rewrite51.0ms (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)))))

simplify42.0ms (0.2%)

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)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x x) 1/9)
✓31.2b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (*.f64 x x) 1/9)
0.0ms
x
@0
(*.f64 (*.f64 x x) 1/9)
0.0ms
x
@0
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
0.0ms
x
@inf
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))

rewrite49.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0616
112411
2139611
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(*.f64 (*.f64 x x) 1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2))))) (#(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 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/9)))))))

simplify169.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1101×sqr-pow_binary64
582×associate-*l*_binary64
565×cube-prod_binary64
557×fabs-mul_binary64
528×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010132
118132
229132
358132
4138132
5442132
61604132
72497132
82661132
92874132
103094132
113397132
123799132
134292132
144860132
155550132
166383132
176773132
187057132
197333132
207409132
217443132
Stop Event
1×node limit
Counts
62 → 42
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)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
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 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 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 1/3 x))
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.3b
(*.f64 1/3 x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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))
1.0ms
x
@0
(sqrt.f64 (*.f64 1/3 x))

rewrite116.0ms (0.6%)

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (*.f64 x (*.f64 x 1/45)) 3)
✓0.3b
(*.f64 x 1/45)
✓0.3b
(*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x)
✓0.4b
(/.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))))
Compiler

Compiled 105 to 73 computations (30.5% saved)

series8.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.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))))
1.0ms
x
@0
(/.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))))
1.0ms
x
@inf
(*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x)
1.0ms
x
@0
(*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x)
0.0ms
x
@-inf
(*.f64 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x)

rewrite116.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
620×fma-def_binary64
373×expm1-udef_binary64
373×log1p-udef_binary64
334×fma-neg_binary64
226×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02165
148556
2622150
Stop Event
1×node limit
Counts
4 → 113
Calls
Call 1
Inputs
(/.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 (+.f64 1/27 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3)) x)
(*.f64 x 1/45)
(pow.f64 (*.f64 x (*.f64 x 1/45)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 1 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (/.f64 1 (/.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (*.f64 x (/.f64 1 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (/.f64 1 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x) 2)) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 1 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (/.f64 1 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 1) (/.f64 x (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) 2)) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (pow.f64 (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) 2)) (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) 2)) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (pow.f64 (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (cbrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))) (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))) (/.f64 x (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))) (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2) (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) (sqrt.f64 (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 1/8303765625 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (fma.f64 (*.f64 x x) -1/135 1/9) 3))) (fma.f64 (fma.f64 (*.f64 x x) -1/135 1/9) (-.f64 (fma.f64 (*.f64 x x) -1/135 1/9) (*.f64 1/2025 (pow.f64 x 4))) (*.f64 1/4100625 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) (fma.f64 1/4100625 (pow.f64 x 8) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/135 1/9) 2)))) (+.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 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 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1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/135 1/9))) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/27 x) (*.f64 (*.f64 (pow.f64 x 6) 1/91125) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/91125) x) (*.f64 1/27 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/27) (*.f64 x (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (pow.f64 x 6) 1/91125)) (*.f64 x 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 3)) x) (fma.f64 (*.f64 (pow.f64 x 6) 1/91125) (fma.f64 (pow.f64 x 6) 1/91125 -1/27) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2)) x) (-.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 3))) (fma.f64 (*.f64 (pow.f64 x 6) 1/91125) (fma.f64 (pow.f64 x 6) 1/91125 -1/27) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/729 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2))) (-.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/91125 1/27) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/91125 1/27))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 x (*.f64 (*.f64 (pow.f64 x 6) 1/91125) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/27 (*.f64 x (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (pow.f64 x 6) 1/91125) (*.f64 x 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 6) 1/91125) x (*.f64 1/27 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/45))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/45) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/91125 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2025 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/91125 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/45)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/91125))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 1/45) (*.f64 1/2025 (pow.f64 x 4))))))) (#(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 1/45 (*.f64 x x)) (*.f64 1/2025 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 6) 1/91125) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2025 (pow.f64 x 4)) (*.f64 1/45 (*.f64 x x)))))) (#(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 1 (*.f64 (pow.f64 x 6) 1/91125))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) 1/91125)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/45 (*.f64 x x))) (*.f64 1/2025 (pow.f64 x 4))))))) (#(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 3) (*.f64 1/91125 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/91125 (pow.f64 x 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/91125)) (sqrt.f64 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(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 (*.f64 (*.f64 1/2025 (pow.f64 x 4)) x) (*.f64 x 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 *.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 1/45 (*.f64 x x))))))) (#(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 sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 6) 1/91125))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 6) 1/91125)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 1/91125)) 1))))))

simplify175.0ms (1%)

Algorithm
1×egg-herbie
Rules
1036×sqr-pow_binary64
832×cube-prod_binary64
795×fabs-mul_binary64
399×unpow3_binary64
397×cube-mult_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020366
144366
294366
3245366
4759366
51059366
61628366
71733366
81887366
92078366
102353366
112725366
123210366
133827366
144588366
155150366
165632366
176042366
186454366
196684366
207685366
Stop Event
1×node limit
Counts
161 → 125
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 1/27 x)
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(*.f64 1/91125 (pow.f64 x 7))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(*.f64 1/91125 (pow.f64 x 7))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.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))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x 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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.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))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x 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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.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))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x 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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(*.f64 1/27 x)
(*.f64 x 1/27)
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(*.f64 1/91125 (pow.f64 x 7))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(*.f64 1/91125 (pow.f64 x 7))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 7)) (*.f64 1/27 x))
(fma.f64 1/91125 (pow.f64 x 7) (*.f64 x 1/27))
(fma.f64 x 1/27 (*.f64 1/91125 (pow.f64 x 7)))
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 x)
(*.f64 x 1/45)
(*.f64 1/45 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))

eval259.0ms (1.5%)

Compiler

Compiled 7742 to 5888 computations (23.9% saved)

prune83.0ms (0.5%)

Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New4106416
Fresh6612
Picked101
Done01010
Total41722439
Error
0b
Counts
439 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.7b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.5b
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
1.2b
(*.f64 (pow.f64 1/27 1/3) x)
0.5b
(/.f64 (/.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2)) x) (-.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
✓0.5b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
✓30.6b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
31.9b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
46.4b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.3b
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
✓0.3b
(+.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)))))
53.2b
(sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) 1/81)))
0.4b
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
✓59.0b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.8b
(*.f64 1/3 x)
2.0b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
0.5b
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
31.9b
(*.f64 (*.f64 x (*.f64 x -1/3)) (/.f64 1 (neg.f64 (tan.f64 x))))
✓46.4b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
✓59.6b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
31.5b
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/15) -1/3) (*.f64 -17/315 (pow.f64 x 6))) (/.f64 1 (neg.f64 (tan.f64 x))))
✓59.6b
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (tan.f64 x))))
Compiler

Compiled 279 to 211 computations (24.4% saved)

regimes45.0ms (0.3%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.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 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (*.f64 x (*.f64 x -1/3)) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (pow.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))
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (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 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 1/45 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) x) (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))))
(sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) 1/81)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(+.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 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3)))))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -2/15) -1/3) (*.f64 -17/315 (pow.f64 x 6))) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 (pow.f64 x 6) 1/91125) 2)) x) (-.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
(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 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))))
Outputs
(+.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)))))
Calls

2 calls:

20.0ms
x
7.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 553 to 400 computations (27.7% saved)

regimes29.0ms (0.2%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.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 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (*.f64 x (*.f64 x -1/3)) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (pow.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))
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (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 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 1/45 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (*.f64 1/2025 (pow.f64 x 4)) -1/9) x) (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))))
(sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) 1/81)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
Calls

2 calls:

14.0ms
x
5.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 307 to 209 computations (31.9% saved)

regimes43.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.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 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (*.f64 x (*.f64 x -1/3)) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(cbrt.f64 (pow.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))
(/.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) x) (tan.f64 x))
(*.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x) (/.f64 1 (neg.f64 (tan.f64 x))))
Outputs
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
Calls

2 calls:

13.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 196 to 127 computations (35.2% saved)

regimes15.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
(*.f64 x (+.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/45))) 1) 1/3))
(*.f64 (pow.f64 1/27 1/3) x)
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.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 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (*.f64 x (*.f64 x -1/3)) (/.f64 1 (neg.f64 (tan.f64 x))))
Outputs
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
Calls

2 calls:

7.0ms
x
3.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 116 to 77 computations (33.6% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Outputs
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0%)

Accuracy

Total -58.3b remaining (-7686.7%)

Threshold costs -58.3b (-7686.7%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039111
162111
278111
384111
488111
589111
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.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 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 1/3 x)
Outputs
(+.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 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (-.f64 1/9 (*.f64 (*.f64 x x) 1/135))))
(/.f64 (*.f64 x 1/27) (+.f64 (*.f64 1/2025 (pow.f64 x 4)) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135))))
(+.f64 (*.f64 (*.f64 1/45 (*.f64 x x)) x) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 x (*.f64 1/45 (*.f64 x x))))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 x (+.f64 1/3 (*.f64 1/45 (*.f64 x x))))
(*.f64 1/3 x)
Compiler

Compiled 82 to 63 computations (23.2% saved)

soundness0.0ms (0%)

end81.0ms (0.5%)

Compiler

Compiled 77 to 56 computations (27.3% saved)

Profiling

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