Details

Time bar (total: 16.8s)

analyze7.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%49.7%50.3%0
0%49.7%50.3%1
0%49.7%50.3%2
24.8%24.8%50.3%3
37.3%12.4%50.3%4
43.5%6.2%50.3%5
46.6%3.1%50.3%6
48.1%1.6%50.3%7
48.9%0.8%50.3%8
49.3%0.4%50.3%9
49.5%0.2%50.3%10
49.6%0.1%50.3%11
49.6%0%50.3%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample10.8s (64.3%)

Results
8.7s4190×body2048valid
1.5s2055×body1024valid
319.0ms972×body512valid
190.0ms228×body4096valid
104.0ms811×body256valid

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)

simplify148.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
59.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.5b
(-.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
✓2.5b
(-.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)))))))

simplify140.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
030168
174162
2153162
3367162
4677162
51437162
62099162
73090162
83307162
93633162
104034162
114566162
125297162
136300162
146946162
157455162
167858162
Stop Event
1×node limit
Counts
55 → 54
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(fma.f64 x (fma.f64 1/45 (*.f64 x x) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/4725 (pow.f64 x 7) (*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))

eval15.0ms (0.1%)

Compiler

Compiled 777 to 491 computations (36.8% saved)

prune15.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New46854
Fresh000
Picked011
Done000
Total46955
Error
0.3b
Counts
55 → 9
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))))
0.5b
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
▶0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
▶1.0b
(*.f64 1/3 x)
▶59.5b
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
✓59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
59.5b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
▶61.6b
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
▶0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
Compiler

Compiled 197 to 145 computations (26.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 85 to 68 computations (20% saved)

series7.0ms (0%)

Counts
4 → 0
Calls

12 calls:

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

rewrite90.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite82.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify171.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 1 x) (tan.f64 x))
✓2.5b
(-.f64 (tan.f64 x) x)
✓29.6b
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
Compiler

Compiled 29 to 13 computations (55.2% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite282.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
466×prod-diff_binary64
455×log-prod_binary64
346×pow-prod-down_binary64
236×pow2_binary64
195×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
118029
2266629
Stop Event
1×node limit
Counts
3 → 191
Calls
Call 1
Inputs
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
(-.f64 (tan.f64 x) x)
(/.f64 (/.f64 1 x) (tan.f64 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (tan.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 x) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 x) (tan.f64 x)))))) (#(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 (/.f64 1 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (tan.f64 x))) (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (tan.f64 x)) -2)) (cbrt.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (tan.f64 x)) -1/2) (pow.f64 (*.f64 x (tan.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (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 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -2) (/.f64 (/.f64 1 x) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (tan.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (tan.f64 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (tan.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (tan.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (tan.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (tan.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (tan.f64 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 x (tan.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (tan.f64 x)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (tan.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (tan.f64 x)))) 1) 1))))))

simplify113.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
577×associate-/r*_binary64
559×fma-def_binary64
387×distribute-rgt-neg-in_binary64
344×cancel-sign-sub-inv_binary64
335×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063472
1155450
2349450
3951450
42314450
53834450
66035450
Stop Event
1×node limit
Counts
227 → 223
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/45 (pow.f64 x 2))) 1/3)
(-.f64 (+.f64 (*.f64 -2/945 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/45 (pow.f64 x 2)))) 1/3)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/45) 1/3) (*.f64 2/945 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) 17/315))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) 17/315 (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(+.f64 (/.f64 1 (*.f64 x x)) -1/3)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/45 (pow.f64 x 2))) 1/3)
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) -1/45) 1/3))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 (*.f64 x x) -1/45 -1/3))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x (*.f64 x -1/45) -1/3))
(-.f64 (+.f64 (*.f64 -2/945 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1/45 (pow.f64 x 2)))) 1/3)
(+.f64 (fma.f64 -2/945 (pow.f64 x 4) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 x x) -1/45))) -1/3)
(+.f64 (fma.f64 -2/945 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/45 (/.f64 1 (*.f64 x x)))) -1/3)
(+.f64 (fma.f64 (*.f64 x x) -1/45 (/.f64 1 (*.f64 x x))) (fma.f64 -2/945 (pow.f64 x 4) -1/3))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 (*.f64 x x) -1/45 (fma.f64 -2/945 (pow.f64 x 4) -1/3)))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x (*.f64 x -1/45) (fma.f64 -2/945 (pow.f64 x 4) -1/3)))
(+.f64 (fma.f64 x (*.f64 x -1/45) (/.f64 1 (*.f64 x x))) (fma.f64 -2/945 (pow.f64 x 4) -1/3))
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) x))
(/.f64 (cos.f64 x) (*.f64 x (sin.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.7b
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
2.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 39 to 25 computations (35.9% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite258.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
958×pow1_binary64
891×add-log-exp_binary64
891×log1p-expm1-u_binary64
891×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
118412
2256412
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.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 0 (+.f64 (/.f64 1 x) (/.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 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) (*.f64 (tan.f64 x) x)) (/.f64 x (*.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -3) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))) (/.f64 (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) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (/.f64 (pow.f64 (tan.f64 x) -2) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) 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 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)))))))

simplify178.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

eval217.0ms (1.3%)

Compiler

Compiled 8963 to 5515 computations (38.5% saved)

prune312.0ms (1.9%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New50314517
Fresh303
Picked011
Done055
Total50620526
Error
0.2b
Counts
526 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
59.5b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
39.8b
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))))
✓1.0b
(*.f64 1/3 x)
27.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))
✓59.5b
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
39.9b
(*.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) (/.f64 (/.f64 1 x) (tan.f64 x)))
39.8b
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))))
▶40.5b
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (tan.f64 x)))
✓59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
38.4b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
✓61.6b
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
1.6b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
▶0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
0.5b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
▶2.2b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
33.6b
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶43.8b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
▶27.4b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
Compiler

Compiled 538 to 430 computations (20.1% saved)

localize20.0ms (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))
0.3b
(*.f64 1/3 x)
Compiler

Compiled 52 to 41 computations (21.2% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite61.0ms (0.4%)

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
01114
124714
2287114
Stop Event
1×node limit
Counts
1 → 69
Calls
Call 1
Inputs
(+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(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 (pow.f64 x 5))) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/45)) (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 x (cbrt.f64 1/45)) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/945) (pow.f64 x 5/2)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 3/2) (pow.f64 (*.f64 x (cbrt.f64 1/45)) 3/2) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/945) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/45) (*.f64 2/945 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/945 (cbrt.f64 (pow.f64 x 10))) (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)))))))

simplify171.0ms (1%)

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
72 → 71
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))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 1/9)
✓26.8b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) 1/9)
1.0ms
x
@inf
(*.f64 (*.f64 x x) 1/9)
0.0ms
x
@0
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) 1/9)
0.0ms
x
@inf
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))

rewrite55.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

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

simplify201.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
010132
118132
229132
358132
4138132
5442132
61604132
72497132
82661132
92874132
103094132
113397132
123799132
134292132
144860132
155550132
166383132
176773132
187057132
197333132
207409132
217443132
Stop Event
1×node limit
Counts
62 → 42
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓0.6b
(cbrt.f64 (*.f64 1/3 x))
✓0.8b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series12.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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
@0
(cbrt.f64 (*.f64 1/3 x))
1.0ms
x
@-inf
(cbrt.f64 (*.f64 1/3 x))

rewrite111.0ms (0.7%)

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))))))))

simplify12.0ms (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

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/3 (pow.f64 x 3))
0.2b
(/.f64 (/.f64 1 x) (tan.f64 x))
✓39.2b
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (tan.f64 x)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series7.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite85.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
554×log-prod_binary64
413×exp-prod_binary64
357×pow-prod-down_binary64
282×pow2_binary64
209×pow-unpow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01125
124222
2296319
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (tan.f64 x)))
(*.f64 1/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 x x) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 x x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 x x) (tan.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 x x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) 1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (*.f64 1/3 (pow.f64 x 3))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 -1 x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 x x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 x x) (tan.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -2/3)) 1) 1))))))

simplify131.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029194
175194
2175194
3472194
41219194
52309194
65413194
75965194
86532194
96984194
107418194
Stop Event
1×node limit
Counts
70 → 67
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (*.f64 1/3 x))
(fma.f64 -1/9 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 -1/9 (pow.f64 x 3)))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 1/3 x)))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 1/3 x (*.f64 -1/135 (pow.f64 x 5))))
(fma.f64 1/3 x (fma.f64 -1/9 (pow.f64 x 3) (*.f64 -1/135 (pow.f64 x 5))))
(fma.f64 x (fma.f64 -1/9 (*.f64 x x) 1/3) (*.f64 -1/135 (pow.f64 x 5)))
(fma.f64 1/3 x (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -1/9 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (*.f64 x -1/9) 1/3) (*.f64 -1/135 (pow.f64 x 5)))
(+.f64 (*.f64 -1/9 (pow.f64 x 3)) (+.f64 (*.f64 -1/135 (pow.f64 x 5)) (+.f64 (*.f64 1/3 x) (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 -2/2835 (pow.f64 x 7)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (fma.f64 -2/2835 (pow.f64 x 7) (*.f64 1/3 x))))
(fma.f64 1/3 x (fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -1/135 (pow.f64 x 5) (*.f64 -2/2835 (pow.f64 x 7)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 1/3 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 2)) (sin.f64 x)))
(*.f64 1/3 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 1/3 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/3 (*.f64 x x)))
(*.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/3 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 1/3 (*.f64 x (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/3 x)
✓0.3b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
0.6b
(cbrt.f64 (*.f64 1/3 x))
✓27.6b
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))
Compiler

Compiled 48 to 38 computations (20.8% saved)

series8.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite90.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01333
127222
2279420
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule 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pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 2 (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 x 4)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2/3 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(*.f64 (*.f64 2 (log.f64 (*.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 1/3 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 1/3 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 1/3 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 x (cbrt.f64 1/45)) 9)) (fma.f64 1/9 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))) (sqrt.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))) (pow.f64 (exp.f64 1/45) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))) 1) 1))))))

simplify169.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
11521
23221
35621
411421
532621
6118021
7186921
8195621
9208921
10224721
11248621
12280821
13323121
14373321
15433521
16505721
17537821
18566421
19588621
20606421
21614421
22708421
Stop Event
1×node limit
Counts
90 → 88
Calls
Call 1
Inputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
Outputs
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))

eval261.0ms (1.5%)

Compiler

Compiled 8186 to 6337 computations (22.6% saved)

prune138.0ms (0.8%)

Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New49518513
Fresh639
Picked101
Done1910
Total50330533
Error
0.1b
Counts
533 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.0b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
▶0.5b
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
40.4b
(/.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x (tan.f64 x)))
33.7b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
40.4b
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
59.5b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
✓0.5b
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
2.5b
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
✓1.0b
(*.f64 1/3 x)
2.3b
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
✓59.5b
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
2.6b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) 3)
39.9b
(*.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) (/.f64 (/.f64 1 x) (tan.f64 x)))
▶33.6b
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
27.3b
(fma.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
✓59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
▶3.3b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
▶59.0b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
✓2.2b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
43.8b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
40.5b
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (tan.f64 x))))
1.7b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓61.6b
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
27.6b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
27.6b
(/.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))
33.6b
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
✓43.8b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
2.2b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
Compiler

Compiled 624 to 484 computations (22.4% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 21 to 14 computations (33.3% saved)

series7.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
1.0ms
x
@-inf
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
1.0ms
x
@inf
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
0.0ms
x
@-inf
(*.f64 x 1/45)
0.0ms
x
@0
(*.f64 x 1/45)

rewrite88.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
595×add-log-exp_binary64
595×log1p-expm1-u_binary64
595×expm1-log1p-u_binary64
584×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
114223
2159123
Stop Event
1×node limit
Counts
3 → 45
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x 1/45)
(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 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 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 (fma.f64 x (*.f64 x 1/45) 1/3)) x))))) (#(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 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 (+.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 1/2025 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/45)))))) (#(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 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 (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 (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 (+.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 (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)))))))

simplify176.0ms (1%)

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
014270
133252
261252
3125252
4356252
51396252
62764252
72950252
83200252
93487252
103866252
114377252
124984252
135694252
146167252
156488252
166758252
176926252
187018252
197695252
Stop Event
1×node limit
Counts
81 → 56
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)
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)
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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x 1/3)
✓7.2b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite92.0ms (0.5%)

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
0720
11568
221088
Stop Event
1×node limit
Counts
2 → 75
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 1/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x 1/3 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 1/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 1/3 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 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2)) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 1/3) 2) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 1/3 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1) (+.f64 (*.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1) (-.f64 (fma.f64 x 1/3 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/3 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 1/3 -1) (fma.f64 x 1/3 -1)) (fma.f64 x 1/3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x 1/3 -1) (fma.f64 x 1/3 -1))) (-.f64 1 (fma.f64 x 1/3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/3) 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 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1)) 2) (cbrt.f64 (fma.f64 x 1/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/3 1)) (sqrt.f64 (fma.f64 x 1/3 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 1/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x 1/3 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 1/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/3 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x 1/3 1) 3) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2)) (/.f64 1 (+.f64 (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2)) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 1/3) 2) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 1/3 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1) (+.f64 (*.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1) (-.f64 (fma.f64 x 1/3 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) (+.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/3 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 1/3 -1) (fma.f64 x 1/3 -1)) (fma.f64 x 1/3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x 1/3 -1) (fma.f64 x 1/3 -1))) (-.f64 1 (fma.f64 x 1/3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/3) 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 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1)) 2) (cbrt.f64 (fma.f64 x 1/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/3 1)) (sqrt.f64 (fma.f64 x 1/3 1)) -1)))))

simplify8.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
1596
Stop Event
1×saturated
Counts
99 → 46
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 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)
(*.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)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 x 1/3))
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
0.3b
(*.f64 x 1/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite48.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2131910
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (*.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/3) 1/4) (*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/3) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (*.f64 x 1/3) 1/4)) (pow.f64 (*.f64 x 1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 x)) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/3) 1/4) (pow.f64 (*.f64 x 1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x 1/3))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/45 (pow.f64 x 3))
✓0.2b
(*.f64 1/9 (*.f64 x x))
0.3b
(*.f64 1/3 x)
✓27.0b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
Compiler

Compiled 76 to 53 computations (30.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
0.0ms
x
@inf
(*.f64 1/9 (*.f64 x x))
0.0ms
x
@0
(*.f64 1/9 (*.f64 x x))

rewrite87.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
895×log-prod_binary64
468×fma-neg_binary64
313×expm1-udef_binary64
313×log1p-udef_binary64
245×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01838
142818
2561018
Stop Event
1×node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/9 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)) 1/9)) (neg.f64 (*.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (exp.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)) 1/9)) (*.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)) (/.f64 1 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025))) 2) (*.f64 (cbrt.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025))) (/.f64 1 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 1/3) (sqrt.f64 (*.f64 (pow.f64 x 6) -1/2025))) (*.f64 (hypot.f64 (*.f64 x 1/3) (sqrt.f64 (*.f64 (pow.f64 x 6) -1/2025))) (/.f64 1 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025))) (/.f64 1 (neg.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))) (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))) 2)) (/.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)) (cbrt.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))) (/.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025)) (sqrt.f64 (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025))) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (*.f64 x 1/3) (sqrt.f64 (*.f64 (pow.f64 x 6) -1/2025))) 1) (/.f64 (hypot.f64 (*.f64 x 1/3) (sqrt.f64 (*.f64 (pow.f64 x 6) -1/2025))) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))) (#(struct:change 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1/3) 1/45) (pow.f64 x 3))) (neg.f64 (*.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (fma.f64 1/9 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/2025))) (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3))) (neg.f64 (*.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 1/3))) 1))))))

simplify179.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
564×cube-prod_binary64
536×unswap-sqr_binary64
462×fabs-mul_binary64
460×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013201
130201
262201
3146201
4402201
51579201
63011201
73197201
83447201
93734201
104113201
114629201
125232201
135942201
146411201
156730201
167002201
177172201
187266201
197943201
Stop Event
1×node limit
Counts
118 → 100
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 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
Outputs
(*.f64 1/3 x)
(+.f64 (*.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 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (*.f64 x x))
(*.f64 x (*.f64 x 1/9))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))
0.6b
(cbrt.f64 (*.f64 1/3 x))
✓0.7b
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)
✓0.8b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
Compiler

Compiled 32 to 26 computations (18.8% saved)

series65.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
41.0ms
x
@0
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
17.0ms
x
@inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
5.0ms
x
@-inf
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)

rewrite65.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119318
2165518
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3)
(cbrt.f64 (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)) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)))))) (#(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))) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))))))) (#(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 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/3 x) 1/6) (*.f64 (pow.f64 (*.f64 1/3 x) 1/6) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2))))))) (#(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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 9))))) (#(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 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (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 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) 1) (cbrt.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 1/3)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.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 (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 1 (cbrt.f64 (*.f64 1/3 x)))))) (#(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 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 2) (*.f64 (cbrt.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 x) (cbrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2)))))) (#(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 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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 2) 3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 1) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6))) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.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 cbrt.f64 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/3)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 1/3) (pow.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 1/3 x) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x)))))))))

simplify197.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
2184×unswap-sqr_binary64
1339×sqr-pow_binary64
462×pow-sqr_binary64
367×cube-prod_binary64
364×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029396
177372
2151372
3337372
41181328
52195328
62307328
72509328
82780328
93044328
103375328
113792328
124256328
134810328
145094328
155266328
165370328
175490328
185526328
195975328
206547328
Stop Event
1×node limit
Counts
112 → 84
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
Outputs
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 (pow.f64 1 1/9) x))
(*.f64 1/3 x)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (cbrt.f64 1/3) (pow.f64 x 1/3)))
(*.f64 1 (*.f64 (cbrt.f64 1/3) (cbrt.f64 x)))
(*.f64 (cbrt.f64 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/3) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/36) 4) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (pow.f64 x 1/72) 8) (cbrt.f64 (cbrt.f64 1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)) (pow.f64 (neg.f64 x) 1/18))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)) (pow.f64 (neg.f64 x) 1/18))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)) (pow.f64 (neg.f64 x) 1/18))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1/3)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/3)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)) (pow.f64 (neg.f64 x) 1/18))
(*.f64 (pow.f64 (neg.f64 x) 1/18) (*.f64 (cbrt.f64 (cbrt.f64 -1/3)) (pow.f64 (neg.f64 x) 1/18)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/3)))

eval286.0ms (1.7%)

Compiler

Compiled 6384 to 5030 computations (21.2% saved)

prune189.0ms (1.1%)

Pruning

34 alts after pruning (22 fresh and 12 done)

PrunedKeptTotal
New38413397
Fresh7916
Picked011
Done21113
Total39334427
Error
0.0b
Counts
427 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
2.5b
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
38.4b
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
58.8b
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
33.6b
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
40.4b
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
33.7b
(*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (sqrt.f64 (*.f64 x 1/3))))
0.5b
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
59.5b
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
33.7b
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
0.4b
(fma.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))) (neg.f64 (*.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))
✓1.0b
(*.f64 1/3 x)
2.6b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) 3)
0.6b
(pow.f64 (/.f64 1 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) -1)
27.0b
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/9)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
3.1b
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/3)) (cbrt.f64 (cbrt.f64 x))) 3) 3)
✓33.6b
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
✓59.5b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.5b
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
✓3.3b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
✓59.0b
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
✓2.2b
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
3.5b
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3))) 3) 3)
✓43.8b
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
0.5b
(*.f64 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)))))
1.7b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓61.6b
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
27.6b
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
✓0.4b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
✓0.3b
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
27.6b
(/.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))
✓27.0b
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
✓59.5b
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
43.8b
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
2.2b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
Compiler

Compiled 430 to 334 computations (22.3% saved)

regimes119.0ms (0.7%)

Counts
54 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
(*.f64 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)))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/9)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(pow.f64 (/.f64 1 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) -1)
(*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) (/.f64 (/.f64 1 x) (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/3 x) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 1/3 x) 2) (*.f64 1/2025 (pow.f64 x 6)))))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3))) 3) 3)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 x) 2)) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (tan.f64 x))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/3)) (cbrt.f64 (cbrt.f64 x))) 3) 3)
(fma.f64 (/.f64 (*.f64 1/9 x) 1) (/.f64 x (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))) (neg.f64 (*.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/45))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 2) (-.f64 (*.f64 1/2025 (pow.f64 x 6)) (*.f64 (*.f64 (*.f64 1/3 x) 1/45) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 1/91125 (pow.f64 (pow.f64 x 3) 3)))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2))) (cbrt.f64 (*.f64 1/3 x)) (*.f64 1/45 (pow.f64 x 3)))
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
Calls

3 calls:

47.0ms
x
19.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
10.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.3b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 729 to 535 computations (26.6% saved)

regimes86.0ms (0.5%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
(*.f64 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)))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/9)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(pow.f64 (/.f64 1 (fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))) -1)
(*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (*.f64 (pow.f64 (*.f64 x 1/3) 1/4) (sqrt.f64 (*.f64 x 1/3))))
(*.f64 (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))) (/.f64 (/.f64 1 x) (tan.f64 x)))
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
Calls

3 calls:

38.0ms
x
13.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
8.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.4b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 423 to 286 computations (32.4% saved)

regimes53.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
(*.f64 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)))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(cbrt.f64 (pow.f64 (*.f64 1/3 x) 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1 x) (tan.f64 x)))
Outputs
(*.f64 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)))))
Calls

2 calls:

29.0ms
x
8.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 263 to 165 computations (37.3% saved)

regimes30.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
(sqrt.f64 (*.f64 x (*.f64 x 1/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/9))
(/.f64 (*.f64 1/3 (*.f64 x x)) (tan.f64 x))
(*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))
(*.f64 x (fma.f64 1/45 (*.f64 x x) 1/3))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 (tan.f64 x) (*.f64 1/3 (*.f64 x x))))
(*.f64 (*.f64 1/3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/45) 1/3))) 1)
Outputs
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
Calls

2 calls:

16.0ms
x
6.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 128 to 84 computations (34.4% saved)

regimes11.0ms (0.1%)

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

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -58.0b remaining (-5790.4%)

Threshold costs -58.0b (-5790.4%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify57.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×+-commutative_binary64
14×*-commutative_binary64
6×distribute-rgt-neg-in_binary64
5×distribute-lft-neg-in_binary64
5×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037135
161135
280135
394135
4100135
5102135
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(*.f64 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)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(*.f64 1/3 x)
Outputs
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (+.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/4725 (pow.f64 x 7)))))
(+.f64 (*.f64 1/3 x) (+.f64 (*.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(*.f64 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)))))
(*.f64 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 1/3 (*.f64 x (*.f64 x 1/45)))))))
(*.f64 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)))))
(*.f64 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 1/3 (*.f64 x (*.f64 x -1/45)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/45)) x) (*.f64 1/3 x))
(+.f64 (*.f64 1/3 x) (*.f64 x (*.f64 x (*.f64 x 1/45))))
(*.f64 x (+.f64 (*.f64 x (*.f64 x 1/45)) 1/3))
(*.f64 x (+.f64 1/3 (*.f64 x (*.f64 x 1/45))))
(*.f64 1/3 x)
Compiler

Compiled 98 to 74 computations (24.5% saved)

soundness0.0ms (0%)

end153.0ms (0.9%)

Compiler

Compiled 93 to 69 computations (25.8% saved)

Profiling

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