Details

Time bar (total: 11.0s)

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)

sample914.0ms (8.3%)

Results
894.0ms8256×body256valid
Bogosity

preprocess3.5s (31.9%)

Algorithm
2×egglog
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)

simplify1.6s (14.4%)

Algorithm
1×egglog
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 (fma.f64 x x -1))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
35.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓32.8b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series11.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

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

Compiled 950 to 820 computations (13.7% saved)

rewrite1.7s (15.4%)

Algorithm
1×batch-egg-rewrite
Rules
50×egg-rr
Counts
1 → 50
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (fabs.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (fma.f64 x x -1)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) -2)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) -1/2)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x -1) 0) (/.f64 1 (pow.f64 (fma.f64 x x -1) -1/2)) (sqrt.f64 (fma.f64 x x -1)))))))

simplify3.1s (28.5%)

Algorithm
1×egglog
Counts
58 → 69
Calls
Call 1
Inputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))
(*.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (fabs.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 1 (fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) -1)
(/.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) -1)
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 4)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (fma.f64 x x -1)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) -2)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) -1/2)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (fma.f64 x x -1) 0) (/.f64 1 (pow.f64 (fma.f64 x x -1) -1/2)) (sqrt.f64 (fma.f64 x x -1)))
Outputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x)) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (-.f64 x (-.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 -1/2 x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x)))
(-.f64 (-.f64 (/.f64 1/2 x) x) (pow.f64 (/.f64 -1/2 x) 3))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 x) 5) -1/16 (pow.f64 (/.f64 1/2 x) 3)) (-.f64 x (/.f64 1/2 x)))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (fabs.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/4))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2/3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) -1)
(sqrt.f64 (fma.f64 x x -1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) -1)
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2))
(sqrt.f64 (fma.f64 x x -1))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3) 1/3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 4)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3))
(sqrt.f64 (fma.f64 x x -1))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(sqrt.f64 (fma.f64 x x -1))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(if (!=.f64 (sqrt.f64 (fma.f64 x x -1)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (sqrt.f64 (fma.f64 x x -1)) 0) (/.f64 1 (/.f64 1 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) -2)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 0) (/.f64 1 (/.f64 1 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2) -1/2)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (fma.f64 x x -1) 0) (/.f64 1 (pow.f64 (fma.f64 x x -1) -1/2)) (sqrt.f64 (fma.f64 x x -1)))
(if (!=.f64 (fma.f64 x x -1) 0) (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) -1) (sqrt.f64 (fma.f64 x x -1)))

eval45.0ms (0.4%)

Compiler

Compiled 1218 to 896 computations (26.4% saved)

prune21.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh000
Picked011
Done000
Total67370
Error
0b
Counts
70 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓35.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.4b
(log.f64 (+.f64 x x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize10.0ms (0.1%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize14.0ms (0.1%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓35.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.4b
(log.f64 (+.f64 x x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -35.6b remaining (-87670.8%)

Threshold costs -35.6b (-87670.8%)

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

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify1.0ms (0%)

Stop Event
1×done
Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness0.0ms (0%)

end24.0ms (0.2%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

Profiling

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