Details

Time bar (total: 21.8s)

analyze4.0ms (0%)

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

Compiled 16 to 12 computations (25% saved)

sample15.8s (72.3%)

Results
13.0s4142×body2048valid
1.9s2103×body1024valid
401.0ms1048×body512valid
324.0ms238×body4096valid
133.0ms725×body256valid
Bogosity

preprocess19.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 8 computations (20% saved)

simplify15.0ms (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
60.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.1b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.9b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (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)))))))

simplify149.0ms (0.7%)

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)))

eval15.0ms (0.1%)

Compiler

Compiled 777 to 491 computations (36.8% saved)

prune19.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51354
Fresh000
Picked101
Done000
Total52355
Error
0.3b
Counts
55 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
▶0.4b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
▶0.6b
(*.f64 1/3 x)
Compiler

Compiled 29 to 22 computations (24.1% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite55.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
345×pow1_binary64
337×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
320×add-log-exp_binary64
320×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28724
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.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 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/6)) (log.f64 (pow.f64 (exp.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/3 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/3 x)) (+.f64 1 (*.f64 1/3 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/3 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/3 x)) (+.f64 1 (*.f64 1/3 x))) 1) (+.f64 (+.f64 1 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 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 pow.f64 (E.f64) (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 x)))) (sqrt.f64 (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(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 (*.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))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
25 → 25
Calls
Call 1
Inputs
Outputs

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)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite184.0ms (0.8%)

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 (0.8%)

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)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
✓0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.1b
(*.f64 2/945 (pow.f64 x 5))
0.4b
(*.f64 1/3 x)
Compiler

Compiled 52 to 41 computations (21.2% saved)

series5.0ms (0%)

Counts
3 → 3
Calls

9 calls:

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

rewrite74.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
363×exp-prod_binary64
316×prod-exp_binary64
299×fma-def_binary64
283×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
124728
2287128
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(*.f64 2/945 (pow.f64 x 5))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
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((#(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 (pow.f64 x 6) 1/2025) 1/2)))) (#(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 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) 1/91125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))))) (#(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 (*.f64 (pow.f64 x 9) 1/91125))))) (#(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) (log1p.f64 -44/45)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)) 1))))) (#(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 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) 1/91125)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -44/45)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/893025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 2/945 (pow.f64 x 5) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3)))))))) 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(pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (pow.f64 x 3)) 1 (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/945 (pow.f64 x 5)) (*.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 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/945) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/945 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/893025)) (cbrt.f64 (*.f64 2/945 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(pow.f64 (cbrt.f64 x) 5) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 x) (*.f64 x x) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (*.f64 x x)) x (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 2/945 (pow.f64 x 5)))))))

simplify135.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
678×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12421
25021
39821
421321
564321
693221
7156821
8167621
9183821
10205121
11238121
12283721
13343621
14419021
15512221
16563021
17612021
18651621
19683821
20699821
Stop Event
1×node limit
Counts
122 → 121
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 2/945 (pow.f64 x 5))
(*.f64 2/945 (pow.f64 x 5))

eval94.0ms (0.4%)

Compiler

Compiled 3701 to 2929 computations (20.9% saved)

prune35.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2068214
Fresh000
Picked101
Done112
Total2089217
Error
0.3b
Counts
217 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.3b
(*.f64 x (-.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1))
40.9b
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
0.4b
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
▶0.4b
(*.f64 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)))
▶59.3b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.6b
(*.f64 1/3 x)
▶40.7b
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))
33.4b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶1.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 180 to 135 computations (25% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.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))
✓0.1b
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
✓0.2b
(*.f64 1/45 (*.f64 x x))
✓0.3b
(*.f64 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)))
Compiler

Compiled 88 to 48 computations (45.5% saved)

series7.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 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)))
1.0ms
x
@0
(*.f64 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)))
0.0ms
x
@inf
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.0ms
x
@0
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x x)))
0.0ms
x
@inf
(*.f64 1/45 (*.f64 x x))

rewrite153.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
689×log-prod_binary64
357×fma-def_binary64
314×prod-diff_binary64
257×fma-neg_binary64
239×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
128333
2388033
Stop Event
1×node limit
Counts
4 → 266
Calls
Call 1
Inputs
(*.f64 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)))
(*.f64 1/45 (*.f64 x x))
(*.f64 (*.f64 1/45 (*.f64 x x)) (*.f64 1/45 (*.f64 x 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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/45) -1/3) (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9)) (fma.f64 x (*.f64 x 1/45) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9))) (neg.f64 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9)) 1) (fma.f64 x (*.f64 x 1/45) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9)) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 1/2025 (pow.f64 x 4) -1/9)) x) (neg.f64 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 1/2025 (pow.f64 x 4) -1/9))) (neg.f64 (fma.f64 x (*.f64 x 1/45) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x 1/45) -1/3) (*.f64 x (fma.f64 1/2025 (pow.f64 x 4) -1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/45)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2025 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/91125 (pow.f64 (*.f64 x x) 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 fabs.f64 (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/91125 (pow.f64 (*.f64 x x) 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 exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/45))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2025 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2025) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 1/2025) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2025) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2025) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2025) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2025 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2025 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2025) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2025 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8303765625 (pow.f64 (pow.f64 x 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2025 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/45))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2025 (pow.f64 x 4))) 1))))))
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(fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 4)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3)) 2)) (/.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (*.f64 x x) 1/2025) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/45 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (/.f64 (*.f64 (pow.f64 x 4) 1/45) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 1/45)) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (/.f64 (*.f64 x (*.f64 x 1/45)) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2025 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (/.f64 (pow.f64 x 4) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 4)) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (/.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (*.f64 x x) 1/2025) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) -1/3))) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/2025 (pow.f64 x 4)) (fma.f64 1/2025 (pow.f64 x 4) -1/9)) (fma.f64 x (*.f64 x 1/45) 1/3) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/2025 (pow.f64 x 4)) (fma.f64 1/91125 (pow.f64 (*.f64 x x) 3) -1/27)) (fma.f64 1/2025 (pow.f64 x 4) (fma.f64 (*.f64 x x) 1/135 1/9)) (neg.f64 (/.f64 1/9 (fma.f64 x (*.f64 x 1/45) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/45) 1) x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/45) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/45) (sqrt.f64 x)) (sqrt.f64 x) 1/3)))))

simplify200.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
957×sqr-pow_binary64
803×unswap-sqr_binary64
635×cube-prod_binary64
593×pow-sqr_binary64
541×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017390
138372
275372
3178372
4598372
51059372
62414372
72533372
82707372
92922372
103207372
113579372
124023372
134574372
145260372
155719372
166030372
176300372
186510372
196706372
207487372
Stop Event
1×node limit
Counts
314 → 275
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))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
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)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(fma.f64 1/45 (pow.f64 x 3) (*.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 (*.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 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 (*.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 (*.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 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 (*.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 (*.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 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(*.f64 x (*.f64 x 1/45))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
(*.f64 1/2025 (pow.f64 x 4))
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)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
✓7.3b
(-.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
1.0ms
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)

rewrite50.0ms (0.2%)

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)))))

simplify7.0ms (0%)

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

Useful iterations: 0 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.3b
(*.f64 x (-.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1))
✓1.0b
(-.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)
Compiler

Compiled 44 to 28 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite156.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
552×unpow-prod-down_binary64
377×log-prod_binary64
302×fma-def_binary64
257×prod-diff_binary64
251×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
121819
2283919
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)
(*.f64 x (-.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/45 (*.f64 x x) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/45 (*.f64 x x) -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 1/45 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/45 (*.f64 x x) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/45 (*.f64 x x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/45 (*.f64 x x) -2/3) 1)))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(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 (fma.f64 1/45 (*.f64 x x) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (cbrt.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1) (/.f64 1 (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1) (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)) (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2) (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1) (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (-.f64 1 (*.f64 (fma.f64 1/45 (*.f64 x x) 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1)) (neg.f64 (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/45 (*.f64 x x) -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) -2/3) 2) (fma.f64 1/45 (*.f64 x x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/91125) 1/27) (+.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 2) (-.f64 1/9 (*.f64 (*.f64 1/45 (*.f64 x x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 1/45 (*.f64 x x) -2/3) 2)) (-.f64 1 (fma.f64 1/45 (*.f64 x x) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/45 (*.f64 x x)) 2) 1/9) (fma.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) 2) 1/2)))) (#(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 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 (/.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2)) (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 2) (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1)) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 hypot.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 1/45 (*.f64 x x) -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 1/45 (*.f64 x x) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 4/3) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 4/3)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 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x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (fma.f64 1/45 (*.f64 x x) -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (fma.f64 1/45 (*.f64 x x) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (fma.f64 1/45 (*.f64 x x) -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (fma.f64 1/45 (*.f64 x 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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (fma.f64 1/45 (*.f64 x x) -2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (fma.f64 1/45 (*.f64 x x) -2/3)))))))

simplify194.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
013222
131204
261204
3135204
4363204
51402204
62773204
72959204
83209204
93496204
103875204
114386204
124989204
135695204
146164204
156487204
166757204
176921204
187011204
197688204
Stop Event
1×node limit
Counts
157 → 142
Calls
Call 1
Inputs
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)))
(*.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)))
Outputs
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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(+.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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(+.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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(*.f64 1/3 x)
✓0.6b
(cbrt.f64 (*.f64 1/3 x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series11.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms
x
@-inf
(cbrt.f64 (*.f64 1/3 x))
1.0ms
x
@inf
(cbrt.f64 (*.f64 1/3 x))

rewrite73.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/45 (*.f64 x x) 1/3)
✓0.2b
(pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)
0.3b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
✓40.6b
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))
Compiler

Compiled 43 to 25 computations (41.9% saved)

series28.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))
1.0ms
x
@inf
(pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)
1.0ms
x
@0
(pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)
1.0ms
x
@-inf
(pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)
1.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
780×pow1_binary64
734×add-log-exp_binary64
734×log1p-expm1-u_binary64
734×expm1-log1p-u_binary64
716×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
121125
2211225
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))
(pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 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 *.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (*.f64 x x) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (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)) (*.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) 1/3) (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (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 (*.f64 x (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 (fma.f64 1/45 (*.f64 x x) 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(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 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 x (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3/2) (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3) (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) x) (fma.f64 1/45 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (fma.f64 1/45 (*.f64 x x) 1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) 1) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 2)) (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 2) (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))))

simplify179.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
792×cube-prod_binary64
736×sqr-pow_binary64
693×fabs-mul_binary64
481×unpow3_binary64
411×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041362
1101362
2232353
3586347
41188347
51553347
61823347
72410347
82539347
92722347
102982347
113363347
123946347
134739347
145758347
156434347
167200347
177928347
Stop Event
1×node limit
Counts
80 → 78
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 (*.f64 (cbrt.f64 -1) (pow.f64 x 3)))
(+.f64 (*.f64 -1/45 (*.f64 (cbrt.f64 -1) (pow.f64 x 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 -1/45 (*.f64 (cbrt.f64 -1) (pow.f64 x 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 -1/45 (*.f64 (cbrt.f64 -1) (pow.f64 x 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) x)))
(*.f64 1/27 (pow.f64 x 3))
(+.f64 (*.f64 1/135 (pow.f64 x 5)) (*.f64 1/27 (pow.f64 x 3)))
(+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/135 (pow.f64 x 5)) (*.f64 1/27 (pow.f64 x 3))))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/135 (pow.f64 x 5)) (*.f64 1/27 (pow.f64 x 3)))))
(*.f64 1/91125 (pow.f64 x 9))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (*.f64 1/2025 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (*.f64 1/135 (pow.f64 x 5))))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 1/135 (pow.f64 x 5)))))
(*.f64 1/91125 (pow.f64 x 9))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (*.f64 1/2025 (pow.f64 x 7)))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (*.f64 1/135 (pow.f64 x 5))))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 1/135 (pow.f64 x 5)))))
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 (*.f64 (cbrt.f64 -1) (pow.f64 x 3)))
(*.f64 -1/45 (*.f64 (pow.f64 x 3) (cbrt.f64 -1)))
(*.f64 (pow.f64 x 3) (*.f64 -1/45 (cbrt.f64 -1)))
(+.f64 (*.f64 -1/45 (*.f64 (cbrt.f64 -1) (pow.f64 x 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) x)))
(fma.f64 -1/45 (*.f64 (pow.f64 x 3) (cbrt.f64 -1)) (*.f64 -1/3 (*.f64 x (cbrt.f64 -1))))
(fma.f64 (*.f64 -1/45 (cbrt.f64 -1)) (pow.f64 x 3) (*.f64 x (*.f64 (cbrt.f64 -1) -1/3)))
(*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (pow.f64 x 3) -1/45) (*.f64 x -1/3)))
(*.f64 (cbrt.f64 -1) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 x -1/3)))
(*.f64 x (*.f64 (cbrt.f64 -1) (fma.f64 x (*.f64 x -1/45) -1/3)))
(*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 x (*.f64 x -1/45) -1/3)))
(+.f64 (*.f64 -1/45 (*.f64 (cbrt.f64 -1) (pow.f64 x 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) x)))
(fma.f64 -1/45 (*.f64 (pow.f64 x 3) (cbrt.f64 -1)) (*.f64 -1/3 (*.f64 x (cbrt.f64 -1))))
(fma.f64 (*.f64 -1/45 (cbrt.f64 -1)) (pow.f64 x 3) (*.f64 x (*.f64 (cbrt.f64 -1) -1/3)))
(*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (pow.f64 x 3) -1/45) (*.f64 x -1/3)))
(*.f64 (cbrt.f64 -1) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 x -1/3)))
(*.f64 x (*.f64 (cbrt.f64 -1) (fma.f64 x (*.f64 x -1/45) -1/3)))
(*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 x (*.f64 x -1/45) -1/3)))
(+.f64 (*.f64 -1/45 (*.f64 (cbrt.f64 -1) (pow.f64 x 3))) (*.f64 -1/3 (*.f64 (cbrt.f64 -1) x)))
(fma.f64 -1/45 (*.f64 (pow.f64 x 3) (cbrt.f64 -1)) (*.f64 -1/3 (*.f64 x (cbrt.f64 -1))))
(fma.f64 (*.f64 -1/45 (cbrt.f64 -1)) (pow.f64 x 3) (*.f64 x (*.f64 (cbrt.f64 -1) -1/3)))
(*.f64 (cbrt.f64 -1) (+.f64 (*.f64 (pow.f64 x 3) -1/45) (*.f64 x -1/3)))
(*.f64 (cbrt.f64 -1) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 x -1/3)))
(*.f64 x (*.f64 (cbrt.f64 -1) (fma.f64 x (*.f64 x -1/45) -1/3)))
(*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 x (*.f64 x -1/45) -1/3)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/27)
(+.f64 (*.f64 1/135 (pow.f64 x 5)) (*.f64 1/27 (pow.f64 x 3)))
(fma.f64 1/27 (pow.f64 x 3) (*.f64 1/135 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))
(fma.f64 1/135 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/27))
(+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/135 (pow.f64 x 5)) (*.f64 1/27 (pow.f64 x 3))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/27 (pow.f64 x 3) (*.f64 1/135 (pow.f64 x 5))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5))))
(fma.f64 1/135 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/2025 (pow.f64 x 7))))
(fma.f64 1/135 (pow.f64 x 5) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/27)))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/2025 (pow.f64 x 7))))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/135 (pow.f64 x 5)) (*.f64 1/27 (pow.f64 x 3)))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/27 (pow.f64 x 3) (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/91125 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/2025 (pow.f64 x 7)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/135 (pow.f64 x 5) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/91125 (pow.f64 x 9)))))
(*.f64 1/91125 (pow.f64 x 9))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (*.f64 1/2025 (pow.f64 x 7)))
(fma.f64 1/91125 (pow.f64 x 9) (*.f64 1/2025 (pow.f64 x 7)))
(fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9)))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (*.f64 1/135 (pow.f64 x 5))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/135 (pow.f64 x 5))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/2025 (pow.f64 x 7))))
(fma.f64 1/135 (pow.f64 x 5) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/91125 (pow.f64 x 9))))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/27 (pow.f64 x 3) (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/91125 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/2025 (pow.f64 x 7)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/135 (pow.f64 x 5) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/91125 (pow.f64 x 9)))))
(*.f64 1/91125 (pow.f64 x 9))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (*.f64 1/2025 (pow.f64 x 7)))
(fma.f64 1/91125 (pow.f64 x 9) (*.f64 1/2025 (pow.f64 x 7)))
(fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9)))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (*.f64 1/135 (pow.f64 x 5))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/135 (pow.f64 x 5))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/2025 (pow.f64 x 7))))
(fma.f64 1/135 (pow.f64 x 5) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/91125 (pow.f64 x 9))))
(+.f64 (*.f64 1/91125 (pow.f64 x 9)) (+.f64 (*.f64 1/2025 (pow.f64 x 7)) (+.f64 (*.f64 1/27 (pow.f64 x 3)) (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/27 (pow.f64 x 3) (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/91125 (pow.f64 x 9) (fma.f64 (pow.f64 x 3) 1/27 (*.f64 1/135 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/91125 (pow.f64 x 9) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/2025 (pow.f64 x 7)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/135 (pow.f64 x 5) (fma.f64 1/2025 (pow.f64 x 7) (*.f64 1/91125 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 1/27 (fma.f64 1/2025 (pow.f64 x 7) (fma.f64 1/135 (pow.f64 x 5) (*.f64 1/91125 (pow.f64 x 9)))))

eval1.3s (6.1%)

Compiler

Compiled 19485 to 14288 computations (26.7% saved)

prune107.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7424746
Fresh303
Picked101
Done235
Total7487755
Error
0b
Counts
755 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))
✓0.6b
(*.f64 1/3 x)
▶1.9b
(*.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
▶1.3b
(*.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1))
✓0.4b
(*.f64 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)))
✓59.3b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
▶0.4b
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
Compiler

Compiled 94 to 68 computations (27.7% saved)

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
✓1.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3)
✓1.0b
(cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
✓1.0b
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)
Compiler

Compiled 94 to 63 computations (33% saved)

series36.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3)
7.0ms
x
@-inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3)
7.0ms
x
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)
3.0ms
x
@0
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3)

rewrite167.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
520×prod-exp_binary64
484×log-prod_binary64
361×exp-prod_binary64
329×pow-prod-down_binary64
278×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472
129251
2306550
Stop Event
1×node limit
Counts
4 → 178
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2)
(cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3)
(*.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 8)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/6) (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4) 5/6) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 1/3) 1/18) 8))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 3/2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3) (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1/3) (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) (*.f64 (*.f64 1/9 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(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 x) (fma.f64 1/45 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 3/2) (+.f64 (log.f64 x) (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/3) (+.f64 (log.f64 x) (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1) (+.f64 (log.f64 x) (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 (log.f64 x) (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 (log.f64 x) (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 (log.f64 x) (*.f64 2/3 (log.f64 (fma.f64 1/45 (*.f64 x x) 1/3)))) (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 1)))))))

simplify152.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
750×associate-/l*_binary64
649×associate-/r*_binary64
571×+-commutative_binary64
358×distribute-rgt-in_binary64
356×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02674019
18353501
231702958
377182958
Stop Event
1×node limit
Counts
226 → 255
Calls
Call 1
Inputs
(pow.f64 1/9 1/9)
(+.f64 (*.f64 2/135 (*.f64 (pow.f64 1/9 1/9) (pow.f64 x 2))) (pow.f64 1/9 1/9))
(+.f64 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 x 4)) (+.f64 (*.f64 2/135 (*.f64 (pow.f64 1/9 1/9) (pow.f64 x 2))) (pow.f64 1/9 1/9)))
(+.f64 (*.f64 (+.f64 (*.f64 136/7381125 (pow.f64 1/9 1/9)) (*.f64 -8/2460375 (pow.f64 1/9 1/9))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 x 4)) (+.f64 (*.f64 2/135 (*.f64 (pow.f64 1/9 1/9) (pow.f64 x 2))) (pow.f64 1/9 1/9))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)
(+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2))
(+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 4))) (*.f64 25/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 4))))))
(+.f64 (*.f64 -1000/27 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 6))) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 4))) (+.f64 (*.f64 25/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 4))) (*.f64 17000/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (pow.f64 x 6))))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)
(+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2))
(+.f64 (*.f64 25/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 4))) (+.f64 (*.f64 -200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 4))) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2))))
(+.f64 (*.f64 25/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 4))) (+.f64 (*.f64 -1000/27 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 6))) (+.f64 (*.f64 -200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 4))) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 17000/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 6))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2))))))
(pow.f64 1/3 1/9)
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (pow.f64 1/3 1/9))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -4/18225 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 4))) (pow.f64 1/3 1/9)))
(+.f64 (*.f64 1/135 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 2))) (+.f64 (*.f64 68/7381125 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 6))) (+.f64 (*.f64 -4/18225 (*.f64 (pow.f64 1/3 1/9) (pow.f64 x 4))) (pow.f64 1/3 1/9))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (*.f64 8500/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))) (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))
(+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4)))))
(+.f64 (*.f64 8500/81 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 6))) (+.f64 (*.f64 5/3 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -100/9 (/.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4))))))
(pow.f64 1/729 1/9)
(+.f64 (*.f64 (+.f64 (*.f64 2/135 (pow.f64 1/729 1/9)) (*.f64 4/135 (pow.f64 1/729 1/9))) (pow.f64 x 2)) (pow.f64 1/729 1/9))
(+.f64 (*.f64 (+.f64 (*.f64 2/135 (pow.f64 1/729 1/9)) (*.f64 4/135 (pow.f64 1/729 1/9))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/81 1/9)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/9 1/9))) (*.f64 4/18225 (pow.f64 1/81 1/9))) (pow.f64 1/9 1/9)) (*.f64 8/18225 (pow.f64 1/729 1/9)))) (pow.f64 x 4)) (pow.f64 1/729 1/9)))
(+.f64 (*.f64 (+.f64 (*.f64 2/135 (pow.f64 1/729 1/9)) (*.f64 4/135 (pow.f64 1/729 1/9))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/135 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/9 1/9))) (*.f64 2 (*.f64 (+.f64 (*.f64 136/7381125 (pow.f64 1/9 1/9)) (*.f64 -8/2460375 (pow.f64 1/9 1/9))) (pow.f64 1/9 1/9)))) (pow.f64 1/9 1/9)) (+.f64 (*.f64 2/135 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/9 1/9))) (*.f64 4/18225 (pow.f64 1/81 1/9))) (pow.f64 1/9 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 136/7381125 (pow.f64 1/9 1/9)) (*.f64 -8/2460375 (pow.f64 1/9 1/9))) (pow.f64 1/81 1/9)) (*.f64 4/135 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/81 1/9)))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/81 1/9)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 1/9 1/9))) (*.f64 4/18225 (pow.f64 1/81 1/9))) (pow.f64 1/9 1/9)) (*.f64 8/18225 (pow.f64 1/729 1/9)))) (pow.f64 x 4)) (pow.f64 1/729 1/9))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6)
(+.f64 (*.f64 20/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 2)))))
(+.f64 (*.f64 20/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (+.f64 (*.f64 200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)))) (pow.f64 x 4)) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 100/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2))))))) (pow.f64 x 4)))))))
(+.f64 (*.f64 20/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 -1000/27 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 17000/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2))))) (*.f64 20/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2))))))) (pow.f64 x 6)) (+.f64 (*.f64 20/3 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)))) (pow.f64 x 6))) (+.f64 (*.f64 10/3 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 100/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2))))))) (pow.f64 x 6))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4) (+.f64 (*.f64 -1000/27 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 17000/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)))) (pow.f64 x 6)) (+.f64 (*.f64 200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)))) (pow.f64 x 4)) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 6) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 100/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 4)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2) (+.f64 (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2)) (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 1 x)))))) 2))))))) (pow.f64 x 4)))))))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (+.f64 (*.f64 20/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 2))) (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 2)))))
(+.f64 (*.f64 200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (+.f64 (*.f64 20/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 2))) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 2))) (/.f64 (*.f64 (+.f64 (*.f64 100/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (pow.f64 x 4)))))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1000/27 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 17000/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4)) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))) (pow.f64 x 4)) (+.f64 (*.f64 20/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 2))) (+.f64 (*.f64 10/3 (/.f64 (*.f64 (+.f64 (*.f64 100/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (pow.f64 x 6))) (+.f64 (*.f64 20/3 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))) (pow.f64 x 6))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (+.f64 (*.f64 200/9 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 4))) (+.f64 (*.f64 10/3 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 6) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1000/27 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 17000/81 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2))) (*.f64 20/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (pow.f64 x 6)) (/.f64 (*.f64 (+.f64 (*.f64 100/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 4)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2) (+.f64 (*.f64 -200/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 25/9 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)))))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 1/45) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) 2)) (pow.f64 x 4)))))))))))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
Outputs
(pow.f64 1/9 1/9)
(*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18))
(+.f64 (*.f64 2/135 (*.f64 (pow.f64 1/9 1/9) (pow.f64 x 2))) (pow.f64 1/9 1/9))
(fma.f64 2/135 (*.f64 (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)) (*.f64 x x)) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)))
(fma.f64 2/135 (*.f64 (*.f64 (*.f64 x x) (pow.f64 1/9 1/18)) (pow.f64 1/9 1/18)) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)))
(*.f64 (+.f64 (*.f64 2/135 (*.f64 x x)) 1) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)))
(+.f64 (*.f64 (+.f64 (*.f64 1/18225 (pow.f64 1/9 1/9)) (*.f64 -8/18225 (pow.f64 1/9 1/9))) (pow.f64 x 4)) (+.f64 (*.f64 2/135 (*.f64 (pow.f64 1/9 1/9) (pow.f64 x 2))) (pow.f64 1/9 1/9)))
(fma.f64 (*.f64 (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)) -7/18225) (pow.f64 x 4) (fma.f64 2/135 (*.f64 (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)) (*.f64 x x)) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18))))
(fma.f64 (*.f64 (pow.f64 1/9 1/18) (*.f64 (pow.f64 1/9 1/18) -7/18225)) (pow.f64 x 4) (fma.f64 2/135 (*.f64 (*.f64 (*.f64 x x) (pow.f64 1/9 1/18)) (pow.f64 1/9 1/18)) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18))))
(+.f64 (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)) (*.f64 (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18)) (+.f64 (*.f64 (*.f64 x x) 2/135) (*.f64 -7/18225 (pow.f64 x 4)))))
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(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 -2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/45)))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 1/45) (*.f64 2 (log.f64 x))))
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(pow.f64 1/729 1/9)
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(+.f64 (fma.f64 20/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 6) (*.f64 x x)) (fma.f64 10/3 (*.f64 (/.f64 (exp.f64 (*.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45)) 2/9)) (pow.f64 x 6)) (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 4) -175/9) (*.f64 100/9 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 4)))) (+.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45)) 2/9)) (+.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 4) -175/9) (*.f64 100/9 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 4))) (pow.f64 x 4)) (/.f64 (fma.f64 20/3 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 4) -175/9) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 4) 14000/81))) (pow.f64 x 6)))) (+.f64 (fma.f64 20/3 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 6) (/.f64 (pow.f64 x 6) -175/9)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 6)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 6) (*.f64 x x)) (+.f64 10/3 (/.f64 200/9 (*.f64 x x)))))))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 6) (/.f64 (pow.f64 x 4) -175/9)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/45))) 6) (/.f64 (pow.f64 x 6) 14000/81))))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 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)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 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)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 28 to 19 computations (32.1% saved)

series7.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (*.f64 x (*.f64 x 1/45)) -1/3)
1.0ms
x
@0
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
0.0ms
x
@inf
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
0.0ms
x
@inf
(*.f64 x 1/45)
0.0ms
x
@0
(*.f64 x 1/45)

rewrite68.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
117630
2214230
Stop Event
1×node limit
Counts
4 → 74
Calls
Call 1
Inputs
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
(*.f64 x 1/45)
(*.f64 x (*.f64 x 1/45))
(-.f64 (*.f64 x (*.f64 x 1/45)) -1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27) x) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) x) (fma.f64 (*.f64 x x) 1/45 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)) (fma.f64 (*.f64 x x) 1/45 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/45 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 x 1/45) 3) 1/3)))) (#(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 sqrt.f64 (*.f64 (*.f64 x x) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/45) 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 -.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 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125))))) (#(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 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) 1/45 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) (/.f64 1 (fma.f64 (*.f64 x x) 1/45 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) 1/45 -1/3) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) (fma.f64 (*.f64 x x) 1/45 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9) (-.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/91125) 1/27)) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) (+.f64 1/9 (*.f64 (*.f64 x x) -1/135)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 2) -1/9)) (neg.f64 (fma.f64 (*.f64 x x) 1/45 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/45 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/45 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/45 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/45) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/45) x 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 (*.f64 x x) 1/45 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/45))) 2) (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)))))

simplify184.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
534×fabs-mul_binary64
413×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014354
133336
261336
3125336
4356336
51396336
62764336
72950336
83200336
93487336
103866336
114377336
124984336
135694336
146167336
156488336
166758336
176926336
187018336
197695336
Stop Event
1×node limit
Counts
122 → 84
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 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 (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 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 1/45 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 1/45 (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 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
0.2b
(*.f64 1/45 (*.f64 x x))
✓0.3b
(*.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1))
✓1.0b
(-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1)
Compiler

Compiled 53 to 34 computations (35.8% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite108.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
762×prod-diff_binary64
484×log-prod_binary64
449×fma-def_binary64
284×fma-neg_binary64
283×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
125227
2344527
Stop Event
1×node limit
Counts
3 → 228
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1)
(*.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1))
(+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)
Outputs
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(cbrt.f64 (*.f64 (pow.f64 x 4) 1/2025)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/2025)) (cbrt.f64 (*.f64 1/45 (*.f64 x x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 1/45 x) 1/3)) (sqrt.f64 (fma.f64 x (*.f64 1/45 x) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) (*.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1) -1)))) (#(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 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) (+.f64 (fma.f64 x (*.f64 1/45 x) 1/3) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 1/45 x) 1/3) 3)) (/.f64 1 (fma.f64 (fma.f64 x (*.f64 1/45 x) 1/3) (fma.f64 1/45 (*.f64 x x) -2/3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/91125 1/27) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/2025 1/9) (*.f64 (*.f64 x x) 1/135))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 1/45 (*.f64 x x) 4/3) 2) -1) (/.f64 1 (+.f64 (fma.f64 x (*.f64 1/45 x) 1/3) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 1/45 x) 1/3) 2)) (/.f64 1 (-.f64 2/3 (*.f64 1/45 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 1/2025 -1/9) (/.f64 1 (fma.f64 1/45 (*.f64 x x) -1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 x) x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -2/3)) 2) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1)) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -2/3)) (sqrt.f64 (fma.f64 1/45 (*.f64 x x) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/45))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/45))) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1) (-.f64 (sqrt.f64 (fma.f64 1/45 (*.f64 x x) 4/3)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 1/45 x) 1/3)) 1) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 1/45 x) 1/3)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/45 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/45 x) 1) x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/45 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/45 x) (sqrt.f64 x)) (sqrt.f64 x) 1/3)))))

simplify185.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
013327
131291
261291
3135291
4363291
51402291
62773291
72959291
83209291
93496291
103875291
114386291
124989291
135695291
146164291
156487291
166757291
176921291
187011291
197688291
Stop Event
1×node limit
Counts
264 → 151
Calls
Call 1
Inputs
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)))
(*.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
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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(+.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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(+.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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.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)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 1/45 x) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(+.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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)
(*.f64 1/45 (pow.f64 x 2))
(*.f64 1/45 (*.f64 x x))
(+.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 1/45 x) 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 1/45 x) 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 1/45 x) 1/3)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 23 computations (28.1% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
876×pow1_binary64
817×add-log-exp_binary64
817×log1p-expm1-u_binary64
817×expm1-log1p-u_binary64
801×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
118919
2226419
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))
(fma.f64 x (*.f64 x 1/45) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x 1/45))) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/45) 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 2) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -2))) (/.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -2))) (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2)) (/.f64 x (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (neg.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3))) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 x (*.f64 x 1/45)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/45)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -2))) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2)) (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/45)) 3) 1/27) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) (-.f64 1/9 (*.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) (*.f64 x (*.f64 x 1/45))) 1/9) (-.f64 (*.f64 x (*.f64 x 1/45)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/45) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/45) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/45) 1/3)))))))

simplify175.0ms (0.8%)

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
92 → 76
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)

eval501.0ms (2.3%)

Compiler

Compiled 15204 to 11546 computations (24.1% saved)

prune158.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5972599
Fresh000
Picked101
Done156
Total5997606
Error
0b
Counts
606 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(*.f64 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)))
0.3b
(/.f64 x (/.f64 1 1/3))
✓1.3b
(*.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1))
1.9b
(*.f64 x (*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 2/135 (*.f64 x x)) 1) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18))) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
✓59.3b
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
✓0.4b
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
✓0.6b
(*.f64 1/3 x)
Compiler

Compiled 94 to 70 computations (25.5% saved)

regimes39.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 x (/.f64 1 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1))
(*.f64 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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))
(*.f64 x (-.f64 (+.f64 1 (fma.f64 1/45 (*.f64 x x) 1/3)) 1))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3)) 3))
(*.f64 x (*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 2/135 (*.f64 x x)) 1) (*.f64 (pow.f64 1/9 1/18) (pow.f64 1/9 1/18))) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
(*.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))) 2) 3) (cbrt.f64 (fma.f64 1/45 (*.f64 x x) 1/3))))
Outputs
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))
Calls

2 calls:

23.0ms
x
8.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 212 to 149 computations (29.7% saved)

regimes24.0ms (0.1%)

Accuracy

Total -59.8b remaining (-21692.3%)

Threshold costs -59.8b (-21692.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(/.f64 x (/.f64 1 1/3))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(*.f64 x (-.f64 (*.f64 x (*.f64 x 1/45)) -1/3))
(*.f64 x (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3))
(*.f64 x (-.f64 (+.f64 1 (+.f64 (*.f64 1/45 (*.f64 x x)) 1/3)) 1))
(*.f64 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)))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Outputs
(/.f64 x (/.f64 1 1/3))
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 97 to 65 computations (33% saved)

simplify7.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11722
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))
(/.f64 x (/.f64 1 1/3))
(*.f64 1/3 x)
Outputs
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/45) 1/3)))
(/.f64 x (/.f64 1 1/3))
(/.f64 x 3)
(*.f64 1/3 x)
(*.f64 x 1/3)
Compiler

Compiled 19 to 14 computations (26.3% saved)

soundness201.0ms (0.9%)

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
Compiler

Compiled 63 to 44 computations (30.2% saved)

end46.0ms (0.2%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

Profiling

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