Details

Time bar (total: 4.3s)

analyze798.0ms (18.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.1%24.5%13
31.5%43.8%24.8%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.7s (61.4%)

Results
1.4s2700×body1024valid
525.0ms1366×body512valid
378.0ms3222×body128valid
203.0ms297×body2048valid
145.0ms671×body256valid
1.0ms5×body128invalid
Compiler

Compiled 28 to 24 computations (14.3% saved)

preprocess27.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
590×associate-/l*_binary64
477×associate-/r*_binary64
380×fma-def_binary64
281×distribute-rgt-in_binary64
270×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613458
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify17.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
590×associate-/l*_binary64
477×associate-/r*_binary64
380×fma-def_binary64
281×distribute-rgt-in_binary64
270×associate-/l/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01113
12513
23413
35913
412711
53498
613458
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

prune32.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 x))
✓0.2b
(sqrt.f64 (+.f64 1 (exp.f64 x)))

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite37.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
550×pow1_binary64
512×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
500×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
111814
2142314
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))))

simplify32.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
733×times-frac_binary64
657×associate-/l*_binary64
268×fma-neg_binary64
176×associate-/r/_binary64
159×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044180
1132166
2456142
31998130
Stop Event
1×node limit
Counts
66 → 71
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(+.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (*.f64 1/16 (/.f64 x (/.f64 (sqrt.f64 2) x))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) 3/16))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (*.f64 1/8 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))))
(fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (-.f64 (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))) (+.f64 (*.f64 1/16 (/.f64 x (/.f64 (sqrt.f64 2) x))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) 3/16) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) 1/16)))
(-.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/48))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 1/2 (*.f64 x x) 2))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/6 x)))

prune54.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh000
Picked101
Done000
Total70272
Error
0.2b
Counts
72 → 2
Alt Table
StatusErrorProgram
▶0.2b
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
20.7b
(-.f64 (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/48))
Compiler

Compiled 929 to 663 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (log1p.f64 (exp.f64 x)))
✓0.2b
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
✓0.2b
(log1p.f64 (exp.f64 x))

series54.0ms (1.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
28.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
23.0ms
x
@inf
(log1p.f64 (exp.f64 x))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))
1.0ms
x
@0
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
0.0ms
x
@inf
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

rewrite37.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
459×pow1_binary64
421×add-log-exp_binary64
421×expm1-log1p-u_binary64
420×log1p-expm1-u_binary64
408×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0621
110919
2121519
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2) (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))))))

simplify28.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
795×times-frac_binary64
323×fma-neg_binary64
193×fma-def_binary64
165×associate-+l+_binary64
161×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060385
1168369
2536339
32345327
Stop Event
1×node limit
Counts
101 → 88
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 x (*.f64 x 1/8))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))) (*.f64 1/192 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x)) (*.f64 1/192 (pow.f64 x 4))))
(+.f64 (fma.f64 1/2 x (*.f64 x (*.f64 x 1/8))) (-.f64 (log.f64 2) (*.f64 1/192 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(+.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (*.f64 (/.f64 x (/.f64 (sqrt.f64 2) x)) 1/16))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) 3/16))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) x) 3/16))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (*.f64 1/8 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3)) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/12 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 2) x)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))) (+.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 2) x)) 1/16) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))))
(+.f64 (fma.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) 1/48) (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) -1/16)))
(-.f64 (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) x) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/48))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (fma.f64 1/2 (*.f64 x x) x) (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/6 x)))
(+.f64 (fma.f64 (pow.f64 x 3) 1/6 x) (fma.f64 1/2 (*.f64 x x) 2))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))

prune50.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh101
Picked011
Done000
Total88290
Error
0.2b
Counts
90 → 2
Alt Table
StatusErrorProgram
▶20.2b
(sqrt.f64 (exp.f64 (fma.f64 1/2 x (log.f64 2))))
✓0.2b
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
Compiler

Compiled 971 to 698 computations (28.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (exp.f64 (fma.f64 1/2 x (log.f64 2))))
✓0.0b
(fma.f64 1/2 x (log.f64 2))
✓0.1b
(exp.f64 (fma.f64 1/2 x (log.f64 2)))

series7.0ms (0.2%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(fma.f64 1/2 x (log.f64 2))
1.0ms
x
@0
(sqrt.f64 (exp.f64 (fma.f64 1/2 x (log.f64 2))))
1.0ms
x
@0
(exp.f64 (fma.f64 1/2 x (log.f64 2)))
1.0ms
x
@-inf
(fma.f64 1/2 x (log.f64 2))
0.0ms
x
@inf
(fma.f64 1/2 x (log.f64 2))

rewrite39.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
627×pow1_binary64
578×add-log-exp_binary64
578×log1p-expm1-u_binary64
578×expm1-log1p-u_binary64
73×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
115427
2162027
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(exp.f64 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (exp.f64 (fma.f64 1/2 x (log.f64 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 2) (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4) (*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4) (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4)) (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2)) (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1)))) (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 1) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 1/2 x (log1p.f64 1))) (*.f64 1/2 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log1p.f64 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))) (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log1p.f64 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4) (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (fma.f64 1/2 x (log1p.f64 1))))))))

simplify23.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
718×times-frac_binary64
652×associate-/l*_binary64
282×fma-neg_binary64
183×associate-/r/_binary64
156×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047273
1132240
2448216
31972194
Stop Event
1×node limit
Counts
91 → 89
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/4 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/4 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/4 (*.f64 x x) x))
(+.f64 2 (fma.f64 x (*.f64 x 1/4) x))
(+.f64 2 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 x (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (fma.f64 1/4 (*.f64 x x) x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 2 (fma.f64 1/4 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) x)))
(+.f64 2 (fma.f64 x (*.f64 x 1/4) (fma.f64 1/24 (pow.f64 x 3) x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3))))
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 x x) 16) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x 16))))
(-.f64 (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (fma.f64 1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))) (*.f64 1/32 (/.f64 (pow.f64 x 3) (sqrt.f64 2)))))
(+.f64 (fma.f64 1/8 (*.f64 (/.f64 x (sqrt.f64 2)) x) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/96) (/.f64 (/.f64 (*.f64 x x) 16) (sqrt.f64 2))))
(-.f64 (+.f64 (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (/.f64 x 16))))) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) 1/96))

prune53.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh000
Picked101
Done011
Total89291
Error
0.2b
Counts
91 → 2
Alt Table
StatusErrorProgram
▶20.6b
(sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))))
✓0.2b
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
Compiler

Compiled 1201 to 1059 computations (11.8% saved)

localize38.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 1/2 x) (log1p.f64 1))
✓1.0b
(pow.f64 (log1p.f64 1) 3)
✓1.0b
(pow.f64 (log1p.f64 1) 2)
✓14.6b
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))

series24.0ms (0.6%)

Counts
4 → 24
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@0
(*.f64 (*.f64 1/2 x) (log1p.f64 1))
3.0ms
x
@0
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))
1.0ms
x
@inf
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))
1.0ms
x
@-inf
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))
0.0ms
x
@inf
(*.f64 (*.f64 1/2 x) (log1p.f64 1))

rewrite38.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
189×add-sqr-sqrt_binary64
184×pow1_binary64
181×*-un-lft-identity_binary64
180×add-log-exp_binary64
180×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01764
140128
Stop Event
1×node limit
Counts
4 → 90
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 1/2 x) (*.f64 1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 1/2 x) (log1p.f64 1)))))
(pow.f64 (log1p.f64 1) 2)
(pow.f64 (log1p.f64 1) 3)
(*.f64 (*.f64 1/2 x) (log1p.f64 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (*.f64 (fma.f64 1/2 x (log.f64 2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (*.f64 1/2 x) 3/2)) (*.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (*.f64 1/2 x) 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (neg.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) 1) (/.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (*.f64 1/2 x) 3/2)) 1) (/.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (*.f64 1/2 x) 3/2)) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) 2)) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) 2)) (/.f64 (fma.f64 1/2 x (log.f64 2)) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (*.f64 1/2 x) 3/2)) (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) 2)) (/.f64 (hypot.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (*.f64 1/2 x) 3/2)) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (hypot.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (hypot.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (/.f64 (fma.f64 1/2 x (log.f64 2)) (hypot.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (hypot.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (hypot.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))) 3))) (+.f64 (pow.f64 (*.f64 1/2 x) 4) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))) (-.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))) (*.f64 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (-.f64 (pow.f64 (*.f64 1/2 x) 4) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))) 2))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (pow.f64 (log.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 4)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 x (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x (log.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x (log.f64 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 2 (*.f64 1/2 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x (log.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 2 (*.f64 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x (log.f64 2)))) 1))))))

simplify11.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×associate-*r*_binary64
2×associate-*l*_binary64
2×fma-def_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09200
115182
222182
Stop Event
1×saturated
Counts
114 → 94
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))
(*.f64 1/2 (*.f64 (log.f64 2) x))

prune117.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh000
Picked101
Done011
Total94296
Error
0.2b
Counts
96 → 2
Alt Table
StatusErrorProgram
21.2b
(sqrt.f64 (exp.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
✓0.2b
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
Compiler

Compiled 2800 to 2438 computations (12.9% saved)

regimes61.0ms (1.4%)

Accuracy

Total 0.0b remaining (12.6%)

Threshold costs 0.0b (12.6%)

Counts
31 → 1
Compiler

Compiled 503 to 417 computations (17.1% saved)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
Outputs
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

end66.0ms (1.5%)

Stop Event
1×fuel
Compiler

Compiled 58 to 50 computations (13.8% saved)

Profiling

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