Details

Time bar (total: 6.1s)

analyze6.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
62.5%62.5%37.5%0%0%0%0%4
81.3%81.2%18.7%0%0%0%0%5
90.6%90.6%9.4%0%0%0%0%6
95.3%95.3%4.7%0%0%0%0%7
97.7%97.6%2.3%0%0%0%0%8
98.8%98.8%1.2%0%0%0%0%9
99.4%99.4%0.6%0%0%0%0%10
99.7%99.7%0.3%0%0%0%0%11
99.9%99.8%0.1%0%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample954.0ms (15.6%)

Results
514.0ms5787×body256valid
331.0ms2036×body512valid
95.0ms433×body1024valid
0.0ms1×body256infinite
Bogosity

preprocess20.0ms (0.3%)

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
0713
11213
21813
32613
43613
55413
69113
712513
817113
920713
1023313
1123513
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.2%)

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
0713
11213
21813
32613
43613
55413
69113
712513
817113
920713
1023313
1123513
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓3.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
957×pow1_binary64
896×log1p-expm1-u_binary64
896×expm1-log1p-u_binary64
895×add-log-exp_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
116820
2260420
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 1 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))

simplify64.0ms (1%)

Algorithm
1×egg-herbie
Rules
609×fma-neg_binary64
520×cancel-sign-sub-inv_binary64
419×associate-/r*_binary64
338×sub-neg_binary64
332×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037380
198372
2241366
3731364
42517363
57643363
Stop Event
1×node limit
Counts
91 → 96
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(fma.f64 x (+.f64 -1 x) (-.f64 1 (pow.f64 x 3)))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1)
(*.f64 (fma.f64 x x 1) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))))

eval32.0ms (0.5%)

Compiler

Compiled 1386 to 1081 computations (22% saved)

prune22.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New861096
Fresh000
Picked011
Done000
Total861197
Error
0.0b
Counts
97 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.3b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
30.1b
(-.f64 1 (/.f64 1 x))
▶12.3b
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
▶34.0b
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
30.0b
(-.f64 (-.f64 1 x) (/.f64 1 x))
✓13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
27.8b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -3)) (/.f64 1 x))
▶29.6b
(/.f64 -1 x)
▶33.7b
(/.f64 (/.f64 -1 x) x)
34.2b
(/.f64 -1 (pow.f64 x 2))
30.2b
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
Compiler

Compiled 188 to 142 computations (24.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
✓0.0b
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
✓2.4b
(-.f64 x (+.f64 1 x))
Compiler

Compiled 31 to 20 computations (35.5% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite83.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
623×prod-diff_binary64
459×log-prod_binary64
327×fma-def_binary64
304×pow-prod-down_binary64
232×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0736
116930
2283230
Stop Event
1×node limit
Counts
3 → 226
Calls
Call 1
Inputs
(-.f64 x (+.f64 1 x))
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 -1 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (fma.f64 -1 x -1) 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (+.f64 (fma.f64 -1 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 -1 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (-.f64 x (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))) (#(struct:change 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simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
661×fma-neg_binary64
628×associate-*l*_binary64
504×cancel-sign-sub-inv_binary64
458×associate-/r*_binary64
337×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042389
1114384
2265375
3748375
42491375
Stop Event
1×node limit
Counts
262 → 254
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(fma.f64 x (-.f64 1 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(*.f64 (+.f64 -1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -1 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
521×pow1_binary64
500×add-sqr-sqrt_binary64
482×add-log-exp_binary64
482×log1p-expm1-u_binary64
482×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11057
213777
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))))))

simplify150.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
45 → 35
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 1 x))
✓0.0b
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
2.4b
(-.f64 x (+.f64 1 x))
Compiler

Compiled 27 to 17 computations (37% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite75.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
467×log-prod_binary64
407×fma-def_binary64
364×exp-prod_binary64
294×pow-prod-down_binary64
226×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
116723
2274918
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(*.f64 x (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (fma.f64 x x x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (-.f64 1 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 (-.f64 x (+.f64 x 1)) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) x) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (+.f64 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((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)))))

simplify60.0ms (1%)

Algorithm
1×egg-herbie
Rules
490×distribute-neg-frac_binary64
462×associate-*l*_binary64
417×associate-/r*_binary64
363×associate-*r*_binary64
360×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032276
179255
2174253
3468253
41509253
56146253
Stop Event
1×node limit
Counts
157 → 152
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x)))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(-.f64 (/.f64 -1 x) (-.f64 x (fma.f64 x x 1)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -1 x) x)
✓0.2b
(/.f64 1 (pow.f64 x 3))
✓5.6b
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite67.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
482×log-prod_binary64
356×fma-def_binary64
344×pow-prod-down_binary64
263×pow2_binary64
221×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01017
122917
2322815
Stop Event
1×node limit
Counts
2 → 125
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(/.f64 1 (pow.f64 x 3))
Outputs
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egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) (/.f64 1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (neg.f64 x) -1/2) (*.f64 (pow.f64 (neg.f64 x) -1/2) (/.f64 1 x)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3/2) (pow.f64 x -3/2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 -1 x) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -6) (/.f64 1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (neg.f64 x) -1/2) 1) (/.f64 (pow.f64 (neg.f64 x) -1/2) x) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 -1 x) (cbrt.f64 x)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (neg.f64 x) -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 x) -1/2) (cbrt.f64 x)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 x)) (pow.f64 x -3/2) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)) (pow.f64 x -3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -9 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) 3))))))

simplify60.0ms (1%)

Algorithm
1×egg-herbie
Rules
627×associate-/r/_binary64
536×unswap-sqr_binary64
496×div-sub_binary64
365×fma-def_binary64
348×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012165
127165
250165
3104165
4265165
51068165
63533165
77047165
Stop Event
1×node limit
Counts
137 → 130
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
Outputs
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))

eval325.0ms (5.3%)

Compiler

Compiled 12487 to 8130 computations (34.9% saved)

prune244.0ms (4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New71311724
Fresh505
Picked101
Done325
Total72213735
Error
0b
Counts
735 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.6b
(/.f64 -1 x)
56.5b
(/.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (pow.f64 x 3)))
0.6b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
33.9b
(fma.f64 -1 (pow.f64 x -2) (pow.f64 x -3))
✓33.7b
(/.f64 (/.f64 -1 x) x)
▶30.1b
(/.f64 (-.f64 x 1) x)
▶0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
34.2b
(/.f64 -1 (*.f64 x x))
13.0b
(*.f64 (/.f64 1 (+.f64 x 1)) (-.f64 1 (/.f64 (+.f64 x 1) x)))
▶34.0b
(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) x)
▶30.1b
(-.f64 1 (/.f64 1 x))
58.3b
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) (pow.f64 x 3)))
▶12.3b
(/.f64 (-.f64 x (+.f64 1 x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
Compiler

Compiled 256 to 177 computations (30.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (+.f64 1 x))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite171.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
817×pow1_binary64
762×add-log-exp_binary64
761×log1p-expm1-u_binary64
761×expm1-log1p-u_binary64
747×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115117
2209917
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 -1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 1 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 (neg.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))))))

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
661×fma-neg_binary64
628×associate-*l*_binary64
504×cancel-sign-sub-inv_binary64
458×associate-/r*_binary64
337×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042377
1114372
2265363
3748363
42491363
Stop Event
1×node limit
Counts
83 → 87
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))))
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(fma.f64 x (-.f64 1 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(*.f64 (+.f64 -1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

localize90.0ms (1.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (/.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite42.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
539×pow1_binary64
504×add-log-exp_binary64
504×log1p-expm1-u_binary64
504×expm1-log1p-u_binary64
494×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11097
213877
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (sqrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (-.f64 1 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x -3)) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x -2)) (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x -2))) (neg.f64 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 -1 x) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1 x)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
Stop Event
1×saturated
Counts
31 → 30
Calls
Call 1
Inputs
(/.f64 -1 x)
1
1
Outputs
(/.f64 -1 x)
1
1

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x 1) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite192.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary64
590×add-log-exp_binary64
589×log1p-expm1-u_binary64
589×expm1-log1p-u_binary64
578×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216137
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (-.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (sqrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (/.f64 1 x))))))))

simplify24.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
4×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0769
11169
21569
32269
42969
53969
65069
76269
86569
Stop Event
1×saturated
Counts
44 → 35
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))

localize29.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
✓0.1b
(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) x)
✓0.1b
(/.f64 (/.f64 1 x) x)
Compiler

Compiled 35 to 23 computations (34.3% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite100.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
863×pow1_binary64
810×add-log-exp_binary64
808×log1p-expm1-u_binary64
808×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
120024
2320824
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(/.f64 (/.f64 1 x) x)
(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) x)
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 x -2) 2) (/.f64 (+.f64 1 x) (*.f64 x x))) (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (*.f64 x 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2) (/.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) 2)) (/.f64 (+.f64 1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 (*.f64 x x) -1)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) -1)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x x) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (*.f64 x x)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
616×fma-neg_binary64
542×cancel-sign-sub-inv_binary64
536×unswap-sqr_binary64
480×times-frac_binary64
444×distribute-neg-frac_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
015381
132381
256381
3118381
4301381
51203381
64528354
Stop Event
1×node limit
Counts
168 → 142
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(/.f64 (+.f64 -1 (/.f64 1 x)) x)

localize43.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 (*.f64 x x)) x)
✓0.0b
(/.f64 (-.f64 x (+.f64 1 x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
2.4b
(-.f64 x (+.f64 1 x))
✓4.2b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x))
Compiler

Compiled 57 to 31 computations (45.6% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite115.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
791×log-prod_binary64
682×fma-def_binary64
334×fma-neg_binary64
330×log-div_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151
126829
2456729
Stop Event
1×node limit
Counts
3 → 209
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x))
(/.f64 (-.f64 x (+.f64 1 x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
(*.f64 (-.f64 1 (*.f64 x x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) (cbrt.f64 (exp.f64 (fma.f64 x x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (-.f64 1 x) x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (/.f64 (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) 1) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 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1 (-.f64 1 x))) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (*.f64 x (-.f64 1 (*.f64 x x)))) (-.f64 1 x) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) x) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (*.f64 x (neg.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (-.f64 1 x)) (neg.f64 (/.f64 (+.f64 1 x) (fma.f64 x x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x (neg.f64 x))))))))

simplify62.0ms (1%)

Algorithm
1×egg-herbie
Rules
688×associate-*l*_binary64
537×associate-*r*_binary64
430×fma-def_binary64
422×associate-/r*_binary64
302×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034361
185331
2199329
3538329
41736329
57352329
Stop Event
1×node limit
Counts
245 → 232
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(-.f64 1 (+.f64 x (/.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (/.f64 1 x)))
(-.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 1 x))
(fma.f64 x x (-.f64 1 (+.f64 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))

eval432.0ms (7.1%)

Compiler

Compiled 11882 to 7455 computations (37.3% saved)

prune227.0ms (3.7%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New6404644
Fresh246
Picked101
Done066
Total64314657
Error
0b
Counts
657 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.6b
(/.f64 -1 x)
56.5b
(/.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (pow.f64 x 3)))
▶0.6b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
33.9b
(fma.f64 -1 (pow.f64 x -2) (pow.f64 x -3))
61.9b
1
✓33.7b
(/.f64 (/.f64 -1 x) x)
✓30.1b
(/.f64 (-.f64 x 1) x)
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
▶4.7b
(/.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
▶34.2b
(/.f64 -1 (*.f64 x x))
✓34.0b
(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) x)
▶38.1b
(neg.f64 (/.f64 (+.f64 1 x) (pow.f64 x 3)))
✓30.1b
(-.f64 1 (/.f64 1 x))
▶54.4b
(/.f64 (/.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3)) x)
Compiler

Compiled 196 to 138 computations (29.6% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (+.f64 1 x))
✓0.6b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
740×pow1_binary64
688×add-log-exp_binary64
687×log1p-expm1-u_binary64
687×expm1-log1p-u_binary64
676×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114810
2189710
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (/.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))))))

simplify68.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
501×distribute-neg-frac_binary64
450×associate-*l*_binary64
417×associate-/r*_binary64
366×distribute-rgt-neg-in_binary64
347×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031204
177201
2168199
3456199
41472199
55996199
Stop Event
1×node limit
Counts
36 → 39
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 -1 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
458×pow1_binary64
443×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
424×add-log-exp_binary64
424×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11026
212166
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))))

simplify174.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
34 → 24
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1 (*.f64 x x))
0.0b
(*.f64 (-.f64 1 (*.f64 x x)) x)
✓0.6b
(/.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
4.2b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x))
Compiler

Compiled 46 to 25 computations (45.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
653×prod-diff_binary64
564×log-prod_binary64
284×pow2_binary64
226×fma-def_binary64
213×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
122415
2322115
Stop Event
1×node limit
Counts
2 → 90
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
(-.f64 1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1) (*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2))) (/.f64 -1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) (sqrt.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x))) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x x x) -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (*.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) 1 (*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))) (sqrt.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))) (*.f64 (neg.f64 x) (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (neg.f64 x)) 2) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 2)) (-.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1)))))

simplify55.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
512×associate-*l*_binary64
495×distribute-neg-frac_binary64
415×associate-/r*_binary64
385×associate-*r*_binary64
330×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033298
182277
2179275
3476275
41530275
56212275
Stop Event
1×node limit
Counts
114 → 110
Calls
Call 1
Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (+.f64 1 (/.f64 -1 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(+.f64 (-.f64 (/.f64 -1 x) x) (fma.f64 x x 1))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.7b
(/.f64 (+.f64 1 x) (pow.f64 x 3))
Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite76.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
756×pow1_binary64
713×add-log-exp_binary64
711×log1p-expm1-u_binary64
711×expm1-log1p-u_binary64
699×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115510
2192210
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (+.f64 1 x) (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 x) (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 x) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) x) (/.f64 (cbrt.f64 (+.f64 1 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 (+.f64 1 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 x 3/2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 (pow.f64 x -3))))))))

simplify154.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1200×sqr-pow_binary64
561×cube-prod_binary64
536×unswap-sqr_binary64
534×fabs-mul_binary64
498×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010165
124165
241165
379165
4199165
5792165
62545165
72769165
83003165
93287165
103665165
114185165
124777165
135494165
145968165
156285165
166557165
176725165
186819165
197500165
Stop Event
1×node limit
Counts
46 → 39
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
Outputs
(/.f64 1 (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (*.f64 x x) 1))
✓0.1b
(/.f64 (/.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3)) x)
✓24.8b
(/.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3))
Compiler

Compiled 46 to 24 computations (47.8% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite79.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
311×pow-prod-down_binary64
285×fma-def_binary64
246×pow2_binary64
221×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01036
123730
2308227
Stop Event
1×node limit
Counts
3 → 199
Calls
Call 1
Inputs
(/.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3))
(/.f64 (/.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3)) x)
(-.f64 x (*.f64 (*.f64 x x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x x)) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x) (pow.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x) 2) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2) (*.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (*.f64 x x))) (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 (-.f64 x (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (/.f64 (-.f64 x (*.f64 x x)) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2) x) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) x) (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) 2) (pow.f64 x 3/2)) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 x x)) 3) (pow.f64 x 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (*.f64 x x)) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 x x)) 3) (pow.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x x))) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 1 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 x -3) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 x x))) (sqrt.f64 (-.f64 x (*.f64 x x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (neg.f64 x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (fma.f64 x x x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 1 (fma.f64 x x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) x)))))

simplify62.0ms (1%)

Algorithm
1×egg-herbie
Rules
723×fma-def_binary64
536×unswap-sqr_binary64
480×times-frac_binary64
299×associate-*l/_binary64
264×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017382
138373
272373
3163373
4456373
51864373
67725373
Stop Event
1×node limit
Counts
235 → 213
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 -1 x)))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 3))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)

eval162.0ms (2.7%)

Compiler

Compiled 8676 to 5077 computations (41.5% saved)

prune90.0ms (1.5%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New6093612
Fresh213
Picked101
Done2810
Total61412626
Error
0b
Counts
626 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.2b
(/.f64 -1 (*.f64 x x))
0.6b
(/.f64 -1 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (/.f64 1 (-.f64 1 x)))))
61.9b
1
✓33.7b
(/.f64 (/.f64 -1 x) x)
✓30.1b
(/.f64 (-.f64 x 1) x)
✓0.1b
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
✓34.0b
(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) x)
4.7b
(*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
✓30.1b
(-.f64 1 (/.f64 1 x))
✓29.6b
(/.f64 -1 x)
✓0.6b
(/.f64 -1 (*.f64 x (+.f64 1 x)))
33.6b
(neg.f64 (pow.f64 x -2))
Compiler

Compiled 93 to 68 computations (26.9% saved)

regimes657.0ms (10.8%)

Counts
29 → 1
Calls
Call 1
Inputs
1
(/.f64 -1 x)
(/.f64 (-.f64 x 1) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x (+.f64 1 x)))
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(-.f64 (-.f64 1 x) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) x)
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
(*.f64 (/.f64 -1 (*.f64 x (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(/.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x 1)) (-.f64 1 (/.f64 (+.f64 x 1) x)))
(/.f64 -1 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x (/.f64 1 (-.f64 1 x)))))
(/.f64 (-.f64 x (+.f64 1 x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x)))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (/.f64 (+.f64 1 x) (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(/.f64 (/.f64 (-.f64 x (*.f64 (*.f64 x x) 1)) (pow.f64 x 3)) x)
(/.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (pow.f64 x 3)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -3)) (/.f64 1 x))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) (pow.f64 x 3)))
(fma.f64 -1 (pow.f64 x -2) (pow.f64 x -3))
Outputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
Calls

3 calls:

622.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
18.0ms
x
9.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 290 to 196 computations (32.4% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(/.f64 -1 x)
(/.f64 (-.f64 x 1) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(/.f64 (/.f64 -1 x) x)
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Outputs
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes16.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
1
(/.f64 -1 x)
(/.f64 (-.f64 x 1) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(/.f64 (/.f64 -1 x) x)
Outputs
(/.f64 (/.f64 -1 x) x)
(/.f64 (-.f64 x 1) x)
(/.f64 (/.f64 -1 x) x)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch35.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.7333544381483156
256914923.27703825
17.0ms
-3808397.5679019354
-0.0948992421206353
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes17.0ms (0.3%)

Counts
6 → 3
Calls
Call 1
Inputs
1
(/.f64 -1 x)
(/.f64 (-.f64 x 1) x)
(/.f64 -1 (*.f64 x x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
Outputs
(/.f64 -1 (*.f64 x x))
(/.f64 (-.f64 x 1) x)
(/.f64 -1 (*.f64 x x))
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.8b3x
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch35.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.7333544381483156
256914923.27703825
17.0ms
-3808397.5679019354
-0.0948992421206353
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -32.3b remaining (-109.2%)

Threshold costs -32.3b (-109.2%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
29.6b1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491
13091
23191
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 -1 (*.f64 x (+.f64 1 x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (-.f64 x 1) x) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (-.f64 x 1) x) (/.f64 -1 (*.f64 x x))))
(/.f64 -1 x)
1
Outputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 -1 (*.f64 x (+.f64 1 x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (-.f64 x 1) x) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (+.f64 x -1) x) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (+.f64 -1 x) x) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (-.f64 x 1) x) (/.f64 -1 (*.f64 x x))))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (+.f64 x -1) x) (/.f64 -1 (*.f64 x x))))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 6605469548750507/9007199254740992) (/.f64 (+.f64 -1 x) x) (/.f64 -1 (*.f64 x x))))
(/.f64 -1 x)
1
Compiler

Compiled 70 to 48 computations (31.4% saved)

soundness0.0ms (0%)

end47.0ms (0.8%)

Compiler

Compiled 65 to 43 computations (33.8% saved)

Profiling

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