Details

Time bar (total: 1.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample701.0ms (48.7%)

Results
691.0ms8256×body256valid
Bogosity

preprocess5.0ms (0.3%)

Algorithm
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acosh.f64 x)
Outputs
(acosh.f64 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify14.0ms (1%)

Algorithm
1×egg-herbie
Rules
4×rational_best.json-simplify-1
2×rational_best.json-simplify-74
2×rational_best.json-simplify-19
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11427
21527
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))

eval0.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
30.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.0b
(-.f64 (*.f64 x x) 1)
✓0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓28.4b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

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

rewrite115.0ms (8%)

Algorithm
1×batch-egg-rewrite
Rules
1016×rational_best.json-simplify-57
768×rational_best.json-simplify-78
674×rational_best.json-simplify-43
518×rational_best.json-5
516×rational_best.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01080
18380
227380
3111580
4513480
Stop Event
1×node limit
Counts
4 → 94
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(-.f64 (*.f64 x x) 1)
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x 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x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))))

simplify178.0ms (12.4%)

Algorithm
1×egg-herbie
Rules
1800×rational_best.json-simplify-54
1744×rational_best.json-simplify-80
896×rational_best.json-simplify-44
678×rational_best.json-simplify-57
674×rational_best.json-simplify-49
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02783766
15203750
219103750
353763750
Stop Event
1×node limit
Counts
142 → 194
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))) (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) -2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(-.f64 0 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(*.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (*.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(*.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(/.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2) 2)
(/.f64 (*.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) -2)
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 (*.f64 x x) -1) 0)
(+.f64 0 (+.f64 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(*.f64 1 (+.f64 (*.f64 x x) -1))
(*.f64 (+.f64 (*.f64 x x) -1) 1)
(*.f64 (+.f64 (*.f64 x x) -1) (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(*.f64 (+.f64 (*.f64 x x) -1) (*.f64 (+.f64 (*.f64 x x) -1) (/.f64 1 (+.f64 (*.f64 x x) -1))))
(*.f64 (+.f64 (*.f64 x x) -1) (/.f64 1 (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)) (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 1 (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(*.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 (*.f64 x x) -1)))
(*.f64 (*.f64 (+.f64 (*.f64 x x) -1) (/.f64 1 (+.f64 (*.f64 x x) -1))) (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))) (*.f64 (+.f64 (*.f64 x x) -1) (*.f64 (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)) (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))) (*.f64 (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)) (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 x x) -1) (/.f64 1 (+.f64 (*.f64 x x) -1))) (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1))) (+.f64 (*.f64 x x) -1)) (*.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(/.f64 (+.f64 (*.f64 x x) -1) 1)
(/.f64 (+.f64 (*.f64 x x) -1) (/.f64 (+.f64 (*.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(/.f64 (+.f64 (*.f64 x (+.f64 x x)) -2) 2)
(/.f64 (-.f64 2 (*.f64 x (+.f64 x x))) -2)
(pow.f64 (+.f64 (*.f64 x x) -1) 1)
(neg.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(*.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))
(*.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))
(*.f64 (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)
(/.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) 2) -2)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 x 2) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (*.f64 x 2) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (*.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1)))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
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(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(/.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 2)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) 2) -2)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))

eval66.0ms (4.6%)

Compiler

Compiled 4201 to 2956 computations (29.6% saved)

prune26.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1922194
Fresh000
Picked011
Done000
Total1923195
Error
0.0b
Counts
195 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
✓30.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.5b
(log.f64 (+.f64 x x))
Compiler

Compiled 26 to 19 computations (26.9% saved)

localize4.0ms (0.3%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize14.0ms (1%)

Compiler

Compiled 35 to 27 computations (22.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0.0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
✓30.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.5b
(log.f64 (+.f64 x x))
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes12.0ms (0.8%)

Accuracy

Total -30.6b remaining (-8003.5%)

Threshold costs -30.6b (-8003.5%)

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

3 calls:

5.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x x))
Compiler

Compiled 16 to 12 computations (25% saved)

soundness267.0ms (18.5%)

Algorithm
1×egg-herbie
Rules
1800×rational_best.json-simplify-54
1744×rational_best.json-simplify-80
896×rational_best.json-simplify-44
678×rational_best.json-simplify-57
674×rational_best.json-simplify-49
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02783766
15203750
219103750
353763750
Stop Event
1×node limit
Compiler

Compiled 21 to 17 computations (19% saved)

end16.0ms (1.1%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

Profiling

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