Details

Time bar (total: 10.8s)

analyze4.0ms (0%)

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
66.7%50%25%0%25%0%0%4
80%50%12.5%0%37.5%0%0%5
88.9%50%6.2%0%43.7%0%0%6
94.1%50%3.1%0%46.9%0%0%7
97%50%1.6%0%48.4%0%0%8
98.5%50%0.8%0%49.2%0%0%9
99.2%50.4%0.4%0%49.2%0%0%10
99.6%50.4%0.2%0%49.4%0%0%11
99.8%50.4%0.1%0%49.5%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample6.8s (62.8%)

Results
5.2s4364×body2048valid
1.0s2039×body1024valid
327.0ms995×body512valid
216.0ms858×body256valid
1.0ms12×body256infinite
Bogosity

preprocess83.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
801×associate-/l*_binary64
624×fma-def_binary64
581×fma-neg_binary64
548×unswap-sqr_binary64
536×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
12013
23613
36013
412213
527313
670913
7172913
8314513
9760513
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify63.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
801×associate-/l*_binary64
624×fma-def_binary64
581×fma-neg_binary64
548×unswap-sqr_binary64
536×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
12013
23613
36013
412213
527313
670913
7172913
8314513
9760513
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
31.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.0b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (exp.f64 x) 2)
✓3.1b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms
x
@-inf
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms
x
@inf
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms
x
@0
(-.f64 (exp.f64 x) 2)
0.0ms
x
@-inf
(-.f64 (exp.f64 x) 2)

rewrite70.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
869×pow1_binary64
818×add-log-exp_binary64
815×log1p-expm1-u_binary64
815×expm1-log1p-u_binary64
804×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
118117
2265317
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2) (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) 1)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 x) 2) 1)) (*.f64 (+.f64 (exp.f64 x) 2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (-.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))))

simplify46.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
749×unswap-sqr_binary64
682×distribute-rgt-out_binary64
678×distribute-lft-out_binary64
573×associate-*l*_binary64
555×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043202
1107196
2240196
3753191
43557191
Stop Event
1×node limit
Counts
90 → 92
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(+.f64 -1 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 x)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) (-.f64 x 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) (+.f64 x -1))

eval48.0ms (0.4%)

Compiler

Compiled 1370 to 750 computations (45.3% saved)

prune30.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New86692
Fresh000
Picked011
Done000
Total86793
Error
0.0b
Counts
93 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.3b
(*.f64 x x)
63.3b
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2) (exp.f64 (neg.f64 x)))
✓31.0b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
▶32.5b
(+.f64 -1 (exp.f64 (neg.f64 x)))
▶31.6b
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) (exp.f64 (neg.f64 x)))
▶32.5b
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
▶1.0b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
Compiler

Compiled 109 to 81 computations (25.7% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
Compiler

Compiled 18 to 10 computations (44.4% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
1.0ms
x
@-inf
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
1.0ms
x
@0
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))

rewrite65.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114511
2151011
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) (pow.f64 x 6)) (+.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))))

simplify181.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1057×sqr-pow_binary64
963×fma-def_binary64
506×pow-sqr_binary64
451×cube-prod_binary64
363×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09135
118117
238117
386117
4293117
51235117
62593117
73274117
83485117
93726117
104023117
114409117
124874117
135415117
146041117
156792117
167102117
177324117
187520117
197578117
207602117
Stop Event
1×node limit
Counts
33 → 26
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))

localize3.0ms (0%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.3b
(+.f64 -1 (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
543×pow1_binary64
506×add-log-exp_binary64
504×log1p-expm1-u_binary64
504×expm1-log1p-u_binary64
497×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11246
215876
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 -1 (exp.f64 (neg.f64 x)))
Outputs
((#(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 (+.f64 -1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (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 (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 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.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 (-.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.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 (pow.f64 (exp.f64 x) 2) (exp.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 (neg.f64 (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 (pow.f64 (exp.f64 x) 2) (exp.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) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (exp.f64 x)) 1)))) (#(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 pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2)))) (#(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 expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (exp.f64 x))))))) (#(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)))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
633×cancel-sign-sub-inv_binary64
499×fma-neg_binary64
370×distribute-rgt-out--_binary64
315×fma-def_binary64
312×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02794
17194
216393
355286
4201986
5564086
Stop Event
1×node limit
Counts
43 → 42
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (neg.f64 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 4)))) x)
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x)))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.3b
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
0.0ms
x
@-inf
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
0.0ms
x
@0
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
689×pow1_binary64
649×add-log-exp_binary64
647×log1p-expm1-u_binary64
647×expm1-log1p-u_binary64
638×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11387
219767
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 (+.f64 (exp.f64 x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 0) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 0 0) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 0 0) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 0 0) -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 0 0) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 0 0) -2)) 2) (cbrt.f64 (+.f64 (/.f64 0 0) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 0 0) -2)) (sqrt.f64 (+.f64 (/.f64 0 0) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 0 0) -8) (/.f64 1 (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 0 0) -4) (/.f64 1 (fma.f64 2 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) 4)) (+.f64 (/.f64 0 0) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (exp.f64 x) 2) (+.f64 (/.f64 0 0) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 0 0) -8) (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 0 0) -8) (+.f64 (/.f64 0 0) (-.f64 4 (*.f64 (/.f64 0 0) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 0 0) -4) (fma.f64 2 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 0 0) -4) (-.f64 (/.f64 0 0) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 0 0) -8)) (neg.f64 (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 0 0) -4)) (neg.f64 (fma.f64 2 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -2)) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) -2))) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 0 0) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 0 0) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 0 0) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 0 0) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 0 0) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 0 0) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 0 0) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 0 0) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 0 0) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 0 0) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 0 0) (/.f64 0 0) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 0 0) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))))

simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
950×fma-def_binary64
803×unswap-sqr_binary64
631×associate-/l/_binary64
510×distribute-lft-out_binary64
503×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022107
159104
2134103
3380101
4123197
5319397
6525397
7555697
8626497
Stop Event
1×node limit
Counts
50 → 46
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 2 x (fma.f64 x x (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 x (+.f64 2 x) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/3) 2)))
(*.f64 x (fma.f64 (fma.f64 x 1/3 1) x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 2 x (+.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x (+.f64 2 x) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 1/12) 1/3)))
(fma.f64 x (+.f64 2 x) (*.f64 (pow.f64 x 3) (fma.f64 x 1/12 1/3)))
(fma.f64 (pow.f64 x 3) (fma.f64 x 1/12 1/3) (*.f64 x (+.f64 2 x)))
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (*.f64 2 (exp.f64 x)) 2)
(fma.f64 2 (exp.f64 x) -2)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 x) -2)
✓0.0b
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
✓1.7b
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) (exp.f64 (neg.f64 x)))
✓3.7b
(log1p.f64 (+.f64 (exp.f64 x) -2))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series65.0ms (0.6%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
31.0ms
x
@inf
(log1p.f64 (+.f64 (exp.f64 x) -2))
29.0ms
x
@-inf
(log1p.f64 (+.f64 (exp.f64 x) -2))
1.0ms
x
@0
(log1p.f64 (+.f64 (exp.f64 x) -2))
0.0ms
x
@0
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) (exp.f64 (neg.f64 x)))
0.0ms
x
@inf
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) (exp.f64 (neg.f64 x)))

rewrite77.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
923×pow1_binary64
866×add-log-exp_binary64
863×expm1-log1p-u_binary64
862×log1p-expm1-u_binary64
101×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
119731
2280331
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 x) -2))
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 -1 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 -1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) 2) (cbrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 -1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 -1 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 -1 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 -1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 -1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 -1 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2) (+.f64 -2 (-.f64 (exp.f64 x) (exp.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 -2 (-.f64 (exp.f64 x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (+.f64 -1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x))) 2)) (cbrt.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x)))) (sqrt.f64 (+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 -2 (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 -2 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2) (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 -2 (-.f64 (exp.f64 x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 -2 (exp.f64 x))))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 -2 (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -2 (-.f64 (exp.f64 x) (exp.f64 x))) (-.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2) (exp.f64 (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 2)) (/.f64 4 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) (sqrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x))) (+.f64 -8 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (exp.f64 (+.f64 x x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1) (+.f64 (*.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1 (exp.f64 x))) (+.f64 1 (*.f64 (+.f64 -1 (exp.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1 (exp.f64 x))) 1) (+.f64 (+.f64 -1 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 2)) (/.f64 4 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) (sqrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x))) (+.f64 -8 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (exp.f64 (+.f64 x x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1) (+.f64 (*.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1 (exp.f64 x))) (+.f64 1 (*.f64 (+.f64 -1 (exp.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1 (exp.f64 x)) (+.f64 -1 (exp.f64 x))) 1) (+.f64 (+.f64 -1 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))))

simplify48.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
749×distribute-lft-out_binary64
749×unswap-sqr_binary64
732×distribute-rgt-out_binary64
728×fma-def_binary64
622×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058417
1144411
2314411
3930395
44132395
Stop Event
1×node limit
Counts
171 → 119
Calls
Call 1
Inputs
(log.f64 x)
(+.f64 (*.f64 1/2 x) (log.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (log.f64 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
Outputs
(log.f64 x)
(+.f64 (*.f64 1/2 x) (log.f64 x))
(fma.f64 1/2 x (log.f64 x))
(fma.f64 x 1/2 (log.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (log.f64 x)))
(fma.f64 1/2 x (fma.f64 1/24 (*.f64 x x) (log.f64 x)))
(fma.f64 x 1/2 (fma.f64 1/24 (*.f64 x x) (log.f64 x)))
(fma.f64 x (fma.f64 x 1/24 1/2) (log.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (log.f64 x))))
(fma.f64 1/2 x (fma.f64 1/24 (*.f64 x x) (fma.f64 -1/2880 (pow.f64 x 4) (log.f64 x))))
(fma.f64 x 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 -1/2880 (pow.f64 x 4) (log.f64 x))))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/24) (fma.f64 -1/2880 (pow.f64 x 4) (log.f64 x))))
(fma.f64 x (fma.f64 x 1/24 1/2) (fma.f64 -1/2880 (pow.f64 x 4) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/12 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(+.f64 -1 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) -1))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (+.f64 x -1))
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(+.f64 -1 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) -1))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (+.f64 x -1))
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)

eval64.0ms (0.6%)

Compiler

Compiled 2960 to 1811 computations (38.8% saved)

prune40.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2258233
Fresh101
Picked101
Done325
Total23010240
Error
0.0b
Counts
240 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.0b
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
▶32.3b
(*.f64 (+.f64 -1 (exp.f64 x)) 1)
✓31.0b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
✓1.3b
(*.f64 x x)
1.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
32.2b
(*.f64 1/12 (pow.f64 x 4))
60.3b
(*.f64 x (+.f64 2 x))
▶1.0b
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
▶60.2b
(neg.f64 x)
▶60.0b
(expm1.f64 (neg.f64 x))
Compiler

Compiled 135 to 99 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
✓0.1b
(*.f64 (pow.f64 x 4) 1/12)
Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (pow.f64 x 4) 1/12)
1.0ms
x
@inf
(*.f64 (pow.f64 x 4) 1/12)
0.0ms
x
@0
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
0.0ms
x
@-inf
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
0.0ms
x
@inf
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))

rewrite76.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
600×pow1_binary64
558×add-log-exp_binary64
558×log1p-expm1-u_binary64
558×expm1-log1p-u_binary64
546×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114618
2155818
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 4) 1/12)
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/144 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 1/12)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (pow.f64 x 4) 1/12) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))))

simplify189.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1057×sqr-pow_binary64
963×fma-def_binary64
506×pow-sqr_binary64
451×cube-prod_binary64
365×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09219
118201
238201
384201
4290201
51175201
62524201
73205201
83416201
93657201
103954201
114338201
124799201
135336201
145968201
156719201
167031201
177259201
187455201
197511201
207533201
Stop Event
1×node limit
Counts
56 → 37
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))

localize2.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 (neg.f64 x))
Compiler

Compiled 7 to 3 computations (57.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 (neg.f64 x))
0.0ms
x
@-inf
(expm1.f64 (neg.f64 x))
0.0ms
x
@inf
(expm1.f64 (neg.f64 x))

rewrite68.0ms (0.6%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
286×associate-*r*_binary64
282×pow1_binary64
274×add-sqr-sqrt_binary64
268×*-un-lft-identity_binary64
261×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1805
29585
045
Stop Event
1×iter limit
1×node limit
Counts
1 → 9
Calls
Call 1
Inputs
(expm1.f64 (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x))) (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (neg.f64 x))))))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
633×cancel-sign-sub-inv_binary64
499×fma-neg_binary64
370×distribute-rgt-out--_binary64
315×fma-def_binary64
312×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02794
17194
216393
355286
4201986
5564086
Stop Event
1×node limit
Counts
21 → 19
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (neg.f64 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 4)))) x)
(fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x)))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.3b
(+.f64 -1 (exp.f64 x))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite85.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
519×pow1_binary64
506×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
056
11016
212596
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 -1 (exp.f64 x))
Outputs
((#(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 (+.f64 -1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (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 (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 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.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 (-.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.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 (pow.f64 (exp.f64 x) 2) (exp.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 (neg.f64 (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 (pow.f64 (exp.f64 x) 2) (exp.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) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (exp.f64 x)) 1)))) (#(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 pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2)))) (#(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 expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (exp.f64 x))))))) (#(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)))))

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
881×fma-def_binary64
803×unswap-sqr_binary64
610×associate-/l/_binary64
507×distribute-lft-out_binary64
349×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02270
15970
212670
337264
4116463
5303463
6509863
7541963
8617663
Stop Event
1×node limit
Counts
43 → 40
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/24 1/6)))) x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 4 (exp.f64 (+.f64 x x)))
✓0.0b
(-.f64 -2 (exp.f64 x))
✓0.0b
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x)))
✓3.1b
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 54 to 23 computations (57.4% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
1.0ms
x
@-inf
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
1.0ms
x
@0
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
0.0ms
x
@0
(-.f64 -2 (exp.f64 x))
0.0ms
x
@0
(-.f64 4 (exp.f64 (+.f64 x x)))

rewrite329.0ms (3%)

Algorithm
4×egg-rewrite
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
681×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
630×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01375
130275
2565775
01324
130224
2565724
01324
01017
12326
233516
056
11086
213556
069
11379
218779
Stop Event
1×node limit
1×node limit
1×node limit
1×iter limit
1×unsound
1×unsound
Counts
4 → 197
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(-.f64 4 (exp.f64 (+.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x))))) (cbrt.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x)))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (neg.f64 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 4 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) 2) (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 2) x) 3)) (/.f64 1 (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (/.f64 1 (+.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))) (-.f64 64 (pow.f64 (pow.f64 (exp.f64 2) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (pow.f64 (exp.f64 2) x)) (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 2) x) 3)) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (+.f64 4 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 2) x) 3))) (neg.f64 (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2))) (neg.f64 (+.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) 3)) (+.f64 16 (-.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) (neg.f64 (pow.f64 (exp.f64 2) x))) (*.f64 4 (neg.f64 (pow.f64 (exp.f64 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) (neg.f64 (pow.f64 (exp.f64 2) x)))) (-.f64 4 (neg.f64 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))))))))

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
809×fma-neg_binary64
789×unswap-sqr_binary64
713×associate-*l*_binary64
680×cancel-sign-sub-inv_binary64
565×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073668
1198648
2474611
31499609
44895609
Stop Event
1×node limit
Counts
245 → 237
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
-3
(-.f64 (*.f64 -1 x) 3)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 3)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 3)
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
3
(+.f64 3 (*.f64 -2 x))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 3 (*.f64 -2 x)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))) (exp.f64 (*.f64 -1 x)))
(fma.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(-.f64 x (fma.f64 x (*.f64 x -1/2) 1))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(+.f64 -1 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 x)))
(+.f64 (fma.f64 x (*.f64 x 1/2) x) (fma.f64 1/6 (pow.f64 x 3) -1))
(+.f64 x (fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))) -1))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 4 (exp.f64 (*.f64 x 2))) (+.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 2) x))) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 2 (exp.f64 x)))
-3
(-.f64 (*.f64 -1 x) 3)
(fma.f64 -1 x -3)
(fma.f64 x -1 -3)
(-.f64 -3 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 3)
(-.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) 3)
(fma.f64 (*.f64 x x) -1/2 (fma.f64 x -1 -3))
(fma.f64 x (*.f64 x -1/2) (-.f64 -3 x))
(-.f64 -3 (fma.f64 x (*.f64 x 1/2) x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -3) x)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 3)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -3)
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (*.f64 x x) -1/2 (fma.f64 x -1 -3)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 x (*.f64 x -1/2) (-.f64 -3 x)))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/6)) -3) x)
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
(*.f64 -1 (+.f64 2 (exp.f64 x)))
(neg.f64 (+.f64 2 (exp.f64 x)))
(+.f64 -2 (neg.f64 (exp.f64 x)))
(-.f64 -2 (exp.f64 x))
3
(+.f64 3 (*.f64 -2 x))
(+.f64 (*.f64 x -2) 3)
(fma.f64 x -2 3)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 3 (*.f64 -2 x)))
(fma.f64 -2 (*.f64 x x) (+.f64 (*.f64 x -2) 3))
(fma.f64 (*.f64 x x) -2 (fma.f64 x -2 3))
(fma.f64 x -2 (fma.f64 x (*.f64 x -2) 3))
(fma.f64 x (*.f64 x -2) (fma.f64 x -2 3))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 -2 (*.f64 x x) (+.f64 3 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 (*.f64 x x) -2 (fma.f64 x -2 3)) (*.f64 (pow.f64 x 3) -4/3))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x -2 3)))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (exp.f64 (*.f64 x 2)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (pow.f64 (exp.f64 x) 2))

eval203.0ms (1.9%)

Compiler

Compiled 9573 to 5928 computations (38.1% saved)

prune48.0ms (0.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3303333
Fresh213
Picked011
Done156
Total33310343
Error
0.0b
Counts
343 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.1b
(*.f64 (expm1.f64 x) 1)
▶31.0b
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
✓31.0b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
✓1.3b
(*.f64 x x)
▶60.3b
(*.f64 x (+.f64 2 x))
✓31.0b
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
▶1.0b
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
✓1.0b
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
✓60.2b
(neg.f64 x)
✓60.0b
(expm1.f64 (neg.f64 x))
Compiler

Compiled 79 to 58 computations (26.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 2 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 x (+.f64 2 x))
1.0ms
x
@0
(*.f64 x (+.f64 2 x))
0.0ms
x
@inf
(*.f64 x (+.f64 2 x))

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
601×pow1_binary64
565×add-log-exp_binary64
564×log1p-expm1-u_binary64
564×expm1-log1p-u_binary64
556×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11147
215057
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 x (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (+.f64 4 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 x x)) x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 x x))) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))))

simplify165.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
556×fabs-mul_binary64
523×pow-sqr_binary64
481×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0684
11475
22875
35075
410975
531175
6104275
7219275
8253975
9273175
10294175
11325175
12366075
13414575
14471775
15541375
16626175
17665475
18694275
19721875
20729075
21732675
Stop Event
1×node limit
Counts
34 → 27
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))

localize4.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
0.1b
(*.f64 (pow.f64 x 4) 1/12)
Compiler

Compiled 24 to 15 computations (37.5% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
1.0ms
x
@-inf
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
0.0ms
x
@0
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))

rewrite73.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
798×pow1_binary64
750×add-log-exp_binary64
750×log1p-expm1-u_binary64
750×expm1-log1p-u_binary64
733×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117811
2217911
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))) (+.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x)) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 x 6)) (-.f64 (+.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 1/12 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 x 6))) (neg.f64 (-.f64 (+.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4))) (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/144 (pow.f64 x 8))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/12)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))))))

simplify214.0ms (2%)

Algorithm
1×egg-herbie
Rules
1057×sqr-pow_binary64
963×fma-def_binary64
506×pow-sqr_binary64
451×cube-prod_binary64
363×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09135
118117
238117
386117
4293117
51235117
62593117
73274117
83485117
93726117
104023117
114409117
124874117
135415117
146041117
156792117
167102117
177324117
187520117
197578117
207602117
Stop Event
1×node limit
Counts
47 → 40
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 x (fma.f64 1/12 (pow.f64 x 3) x))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -2 (exp.f64 x))
✓0.0b
(/.f64 1 (+.f64 -2 (exp.f64 x)))
✓0.0b
(pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1)
✓3.3b
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
Compiler

Compiled 42 to 26 computations (38.1% saved)

series13.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
2.0ms
x
@inf
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
2.0ms
x
@-inf
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
1.0ms
x
@0
(/.f64 1 (+.f64 -2 (exp.f64 x)))
0.0ms
x
@0
(pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1)

rewrite385.0ms (3.6%)

Algorithm
4×egg-rewrite
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
763×pow1_binary64
715×add-log-exp_binary64
713×log1p-expm1-u_binary64
713×expm1-log1p-u_binary64
701×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01276
125576
2343676
01219
125519
2343619
01219
0912
11876
221896
079
11469
217649
056
11076
213426
Stop Event
1×node limit
1×node limit
1×node limit
1×iter limit
1×node limit
1×node limit
Counts
4 → 102
Calls
Call 1
Inputs
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
(pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1)
(/.f64 1 (+.f64 -2 (exp.f64 x)))
(+.f64 -2 (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (cbrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x))))) (cbrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x))))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x))))) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 -2 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) (sqrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))) (+.f64 -8 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -2 (exp.f64 x)) (-.f64 4 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2) (cbrt.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) (pow.f64 (+.f64 -2 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (-.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -2))) (cbrt.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 -2 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -1/2) (pow.f64 (+.f64 -2 (exp.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 2 (neg.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (-.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 -2 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 -2 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -2 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 -2 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) (sqrt.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))) (+.f64 -8 (exp.f64 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -2 (exp.f64 x)) (-.f64 4 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 4) (-.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -2 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -2 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)))))

simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
766×fma-def_binary64
749×unswap-sqr_binary64
731×distribute-rgt-out_binary64
635×associate-*l*_binary64
576×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054445
1133435
2329432
31114417
44669417
Stop Event
1×node limit
Counts
150 → 108
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -3/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -13/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/2 (pow.f64 x 2)))) 1)
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
(-.f64 (exp.f64 x) 2)
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(fma.f64 (*.f64 x x) 1/2 (+.f64 x -1))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (+.f64 x -1)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 -1 (fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) x))
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -3/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 (*.f64 x x) -3/2)) -1)
(fma.f64 x -1 (fma.f64 (*.f64 x x) -3/2 -1))
(-.f64 (fma.f64 x (*.f64 x -3/2) -1) x)
(fma.f64 x (fma.f64 x -3/2 -1) -1)
(-.f64 (+.f64 (*.f64 -13/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -13/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 (*.f64 x x) -3/2))) -1)
(fma.f64 (pow.f64 x 3) -13/6 (fma.f64 x -1 (fma.f64 (*.f64 x x) -3/2 -1)))
(fma.f64 (pow.f64 x 3) -13/6 (-.f64 (fma.f64 x (*.f64 x -3/2) -1) x))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -13/6 -3/2)) -1) x)
(fma.f64 x (*.f64 x (fma.f64 x -13/6 -3/2)) (-.f64 -1 x))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
(/.f64 1 (-.f64 (exp.f64 x) 2))
(/.f64 1 (+.f64 (exp.f64 x) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(fma.f64 (*.f64 x x) 1/2 (+.f64 x -1))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (+.f64 x -1)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 -1 (fma.f64 (*.f64 x x) (fma.f64 x 1/6 1/2) x))
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)
(-.f64 (exp.f64 x) 2)
(+.f64 (exp.f64 x) -2)

eval146.0ms (1.3%)

Compiler

Compiled 2696 to 1716 computations (36.4% saved)

prune81.0ms (0.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1834187
Fresh000
Picked101
Done099
Total18413197
Error
0.0b
Counts
197 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.0b
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
31.0b
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))
✓1.0b
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
31.0b
(+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
60.3b
(+.f64 (*.f64 x x) (*.f64 x 2))
✓60.0b
(expm1.f64 (neg.f64 x))
✓1.3b
(*.f64 x x)
33.8b
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x 2) (*.f64 x x)))
✓60.3b
(*.f64 x (+.f64 2 x))
✓31.0b
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
✓60.1b
(*.f64 (expm1.f64 x) 1)
✓1.0b
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
✓60.2b
(neg.f64 x)
Compiler

Compiled 139 to 97 computations (30.2% saved)

regimes70.0ms (0.6%)

Counts
22 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 x x) (*.f64 x 2))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x 2) (*.f64 x x)))
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 x)) 1)
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (/.f64 1 (+.f64 -2 (exp.f64 x))) -1) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 -2 (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2))) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2) (exp.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (+.f64 -2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))
Outputs
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
Calls

2 calls:

52.0ms
x
6.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
1.0b1x
1.0b1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 211 to 119 computations (43.6% saved)

regimes24.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 x x) (*.f64 x 2))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x 2) (*.f64 x x)))
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 x)) 1)
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
Outputs
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 91 to 50 computations (45.1% saved)

regimes19.0ms (0.2%)

Accuracy

Total -59.7b remaining (-4622.5%)

Threshold costs -59.7b (-4622.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 x x) (*.f64 x 2))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x 2) (*.f64 x x)))
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 x)) 1)
Outputs
(*.f64 x x)
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 66 to 37 computations (43.9% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
1×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11631
21831
31931
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
(*.f64 x x)
(neg.f64 x)
Outputs
(fma.f64 x x (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (*.f64 (pow.f64 x 4) 1/12) (*.f64 x x))
(*.f64 x x)
(neg.f64 x)
Compiler

Compiled 26 to 17 computations (34.6% saved)

soundness167.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
749×distribute-lft-out_binary64
749×unswap-sqr_binary64
732×distribute-rgt-out_binary64
728×fma-def_binary64
622×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058417
1144411
2314411
3930395
44132395
Stop Event
1×node limit
Compiler

Compiled 38 to 27 computations (28.9% saved)

end55.0ms (0.5%)

Compiler

Compiled 23 to 13 computations (43.5% saved)

Profiling

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