Details

Time bar (total: 6.2s)

analyze4.0ms (0.1%)

Algorithm
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
0%0%50%0%25%25%0%3
50%25%25%0%25%25%0%4
75%37.5%12.5%0%25%25%0%5
87.5%43.7%6.2%0%25%25%0%6
93.8%46.9%3.1%0%25%25%0%7
96.9%48.4%1.6%0%25%25%0%8
98.4%49.2%0.8%0%25%25%0%9
99.2%49.6%0.4%0%25%25%0%10
99.6%49.8%0.2%0%25%25%0%11
99.8%49.9%0.1%0%25%25%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.9s (62%)

Results
2.4s4141×body1024valid
913.0ms2114×body512valid
255.0ms396×body2048valid
198.0ms1605×body256valid
1.0msbody256invalid
Bogosity

preprocess221.0ms (3.5%)

Algorithm
egg-herbie
Rules
1228×distribute-lft-in
1176×fma-def
854×distribute-rgt-in
780×associate--l-
690×associate--r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
12225
23025
34625
47425
510525
615625
728825
865125
9130525
10209325
11259525
12278025
13294525
14335725
15434525
16624725
17688625
18719925
19732725
20744925
21754325
22795125
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify230.0ms (3.7%)

Algorithm
egg-herbie
Rules
1228×distribute-lft-in
1176×fma-def
854×distribute-rgt-in
780×associate--l-
690×associate--r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01329
12225
23025
34625
47425
510525
615625
728825
865125
9130525
10209325
11259525
12278025
13294525
14335725
15434525
16624725
17688625
18719925
19732725
20744925
21754325
22795125
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New123
Fresh101
Picked000
Done000
Total224
Error
0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
58.4b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 20 to 16 computations (20% saved)

localize63.0ms (1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 x) (-.f64 1 x))
5.8b
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 35 to 26 computations (25.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1632×associate-*r/
1294×associate-/r*
1186×associate-*l/
850×*-commutative
798×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
118838
2250438
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
Outputs
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2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change 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(sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))

simplify86.0ms (1.4%)

Algorithm
egg-herbie
Rules
1432×associate-/l*
1010×associate-*r/
942×*-commutative
902×associate-/r*
802×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03515140
19904690
236474686
Stop Event
node limit
Counts
146 → 228
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 -1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 x))) (log1p.f64 x))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 -1 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (log.f64 (/.f64 -1 (+.f64 -1 x)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (neg.f64 (log1p.f64 (neg.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 (+.f64 -1 x)))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (+.f64 -1 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) 1)
(-.f64 (-.f64 (log1p.f64 x) 0) (log1p.f64 (neg.f64 x)))
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) 1) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 -1 x)) (+.f64 1 x))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 1 x) 2))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 1 x) 2))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 -1 x))
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (-.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 -1 x))))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 -1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 x -1))) (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x))))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x))))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1)))) (log.f64 (/.f64 -1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 x -1))) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log1p.f64 (neg.f64 x))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 (+.f64 -1 x))) (log1p.f64 x))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (pow.f64 (neg.f64 x) 3))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 x)))
(+.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 x (neg.f64 x)))))
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(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 1 x) 2))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2))
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2))
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2))
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2))
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2))
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (+.f64 x 1) 2))
(/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 -1 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (-.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (-.f64 1 x))) (+.f64 (-.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))))) (+.f64 x (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 x (*.f64 x x)))))) (-.f64 (+.f64 x 1) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 x)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (+.f64 x (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (-.f64 1 x) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3)))) (+.f64 1 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) (-.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x)))))
(*.f64 (/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 -1 x)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(fabs.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))

localize8.0ms (0.1%)

Compiler

Compiled 24 to 8 computations (66.7% saved)

eval152.0ms (2.4%)

Compiler

Compiled 4085 to 2790 computations (31.7% saved)

prune35.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2253228
Fresh000
Picked011
Done011
Total2255230
Error
0b
Counts
230 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
0.2b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
0.6b
(*.f64 1/2 (*.f64 2 x))
58.4b
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
58.4b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 50 to 41 computations (18% saved)

localize24.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
5.8b
(log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1538×associate-/r*
1472×associate-*l/
1052×associate-/l*
922×associate-/r/
880×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
119038
2258038
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 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simplify100.0ms (1.6%)

Algorithm
egg-herbie
Rules
1372×associate-/l*
1066×associate-/r*
1056×associate-*r/
872×associate-*l/
864×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03575573
110144943
238854935
Stop Event
node limit
Counts
149 → 254
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2/7 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 0)
(+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x))))
(+.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (neg.f64 (log1p.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log.f64 (/.f64 -1 (-.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (log1p.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 x))) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (log1p.f64 (neg.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 0 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(-.f64 (log.f64 (+.f64 -1 x)) (log.f64 (-.f64 -1 x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (log.f64 (/.f64 -1 (-.f64 -1 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (neg.f64 (log1p.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 x x x))) (log1p.f64 x)))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (-.f64 -1 x)))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 x))) (log.f64 (-.f64 -1 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 1)
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) 0) (log1p.f64 x))
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 x))) (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 x))) 1) (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 (/.f64 -1 (-.f64 -1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 -1 (-.f64 -1 x)))
(-.f64 (/.f64 -1 (-.f64 -1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (-.f64 (+.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x))))
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))
(fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x)))
(+.f64 (*.f64 -2/5 (pow.f64 x 5)) (+.f64 (*.f64 -2/7 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (*.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2 x (*.f64 -2/3 (pow.f64 x 3)))))
(fma.f64 -2/5 (pow.f64 x 5) (fma.f64 -2/7 (pow.f64 x 7) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 -2 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -2 x)) (/.f64 2/3 (pow.f64 x 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(-.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (/.f64 -2 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))) (/.f64 -2 x))
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(/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (-.f64 x (+.f64 x (fma.f64 x x -1)))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))))
(/.f64 (-.f64 x (+.f64 x (fma.f64 x x -1))) (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (+.f64 (-.f64 1 x) (*.f64 x x))) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x 1)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (-.f64 x (-.f64 (fma.f64 x x x) 1)) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x 1))))
(/.f64 (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 x (+.f64 x (fma.f64 x x -1)))) (*.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (+.f64 x 1) (fma.f64 x x x)) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 (*.f64 x x))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (*.f64 (-.f64 1 x) (-.f64 x (-.f64 (fma.f64 x x x) 1))) (*.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 1 (*.f64 x x)))))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 (pow.f64 x 3) 1) (-.f64 x (+.f64 x (fma.f64 x x -1))))) (-.f64 1 (*.f64 x x))))
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 3)
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3)
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) 2))
(fabs.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (+.f64 x -1) (-.f64 -1 x))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 37 to 29 computations (21.6% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite54.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1236×add-sqr-sqrt
1204×*-un-lft-identity
1142×add-cube-cbrt
1134×add-cbrt-cube
1118×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2159513
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))

simplify65.0ms (1.1%)

Algorithm
egg-herbie
Rules
1084×distribute-rgt-in
1068×distribute-lft-in
944×associate-*l/
896×associate-*r/
890×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
198209
2326143
31684143
46914143
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

eval435.0ms (7%)

Compiler

Compiled 5183 to 3690 computations (28.8% saved)

prune145.0ms (2.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2680268
Fresh000
Picked011
Done044
Total2685273
Error
0b
Counts
273 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
0.2b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
0.6b
(*.f64 1/2 (*.f64 2 x))
58.4b
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
58.4b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 50 to 41 computations (18% saved)

regimes16.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

7.0ms
x
3.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
ErrorSegmentsBranch
0b1x
0b1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0b1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0b1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 90 to 72 computations (20% saved)

regimes19.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
Calls

4 calls:

9.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
4.0ms
x
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.2b1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.2b1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 82 to 66 computations (19.5% saved)

regimes10.0ms (0.2%)

Accuracy

Total -58.2b remaining (-10506.4%)

Threshold costs -58.2b (-10506.4%)

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

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.6b1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative
+-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01969
13169
23669
33969
44069
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 2 x))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
Compiler

Compiled 27 to 22 computations (18.5% saved)

soundness473.0ms (7.6%)

Algorithm
egg-herbie
Rules
1228×distribute-lft-in
1176×fma-def
854×distribute-rgt-in
780×associate--l-
690×associate--r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01329
12225
23025
34625
47425
510525
615625
728825
865125
9130525
10209325
11259525
12278025
13294525
14335725
15434525
16624725
17688625
18719925
19732725
20744925
21754325
22795125
Stop Event
node limit
Compiler

Compiled 115 to 92 computations (20% saved)

end31.0ms (0.5%)

Compiler

Compiled 25 to 20 computations (20% saved)

Profiling

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