Details

Time bar (total: 4.9s)

analyze98.0ms (2%)

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%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.1s (42%)

Results
1.1s8256×body256valid
878.0ms7144×body256infinite
92.0ms1019×body256invalid
Bogosity

preprocess13.0ms (0.3%)

Algorithm
egg-herbie
Rules
rational_best-simplify-1
rational_best-simplify-22
rational_best-simplify-19
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11427
21527
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
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))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
rational_best-simplify-1
rational_best-simplify-22
rational_best-simplify-19
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11427
21527
Stop Event
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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
34.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
34.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0b
(-.f64 (*.f64 x x) 1)
0.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
31.7b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series5.0ms (0.1%)

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
@inf
(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
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite17.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
32×rational_best-simplify-2
28×rational_best-4
28×rational_best-2
28×rational_best-3
28×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01080
16580
29880
310680
411180
512480
613680
715080
816780
Stop Event
saturated
Counts
4 → 27
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(-.f64 (*.f64 x x) 1)
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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)))) 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 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)))) 1)))) (#(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 +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x x) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)))))

simplify452.0ms (9.2%)

Algorithm
egg-herbie
Rules
1116×exponential-simplify-31
544×rational_best-simplify-1
484×rational_best-simplify-43
46×rational_best-simplify-2
26×rational_best-simplify-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462245
12342229
23432229
34982229
48622229
59712229
610412229
710532229
810532229
930092229
1031322229
1131472229
1231472229
1331472229
1431472229
1531472229
1631472229
Stop Event
node limit
Counts
75 → 123
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))))
(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)))))))
-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)
(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))))))
(+.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 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)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(+.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 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)))) 1)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 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) 1)
(pow.f64 (+.f64 (*.f64 x x) -1) 1)
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(*.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))) 1)
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 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 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (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 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.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 -1/8 (/.f64 (pow.f64 x 4) (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))))))
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 -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 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(+.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))) (neg.f64 x))))
(+.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)) (neg.f64 x))))
(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 (*.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 (+.f64 (log.f64 (sqrt.f64 -1)) (/.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 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1)))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (+.f64 (log.f64 (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 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (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 (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)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.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 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))))
(+.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 (*.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 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(+.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 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 -1/2)) (+.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))))
-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))
(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 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.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 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(*.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 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 1/16 (/.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 1/2 (/.f64 1 x)) (+.f64 (*.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(+.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))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(+.f64 0 (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)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(*.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)))) 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)))))
(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)))))
(+.f64 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) -1) 0)
(+.f64 -1 (*.f64 x x))
(+.f64 0 (+.f64 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(+.f64 -1 (*.f64 x x))
(*.f64 1 (+.f64 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(*.f64 (+.f64 (*.f64 x x) -1) 1)
(+.f64 -1 (*.f64 x x))
(/.f64 (+.f64 (*.f64 x x) -1) 1)
(+.f64 -1 (*.f64 x x))
(pow.f64 (+.f64 (*.f64 x x) -1) 1)
(+.f64 -1 (*.f64 x x))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))

eval207.0ms (4.2%)

Compiler

Compiled 2168 to 1776 computations (18.1% saved)

prune16.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1194123
Fresh000
Picked011
Done000
Total1195124
Error
0b
Counts
124 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
63.0b
(log.f64 (/.f64 1/2 x))
0.6b
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
34.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.1b
(log.f64 (+.f64 x x))
Compiler

Compiled 40 to 31 computations (22.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (+.f64 x x))
Compiler

Compiled 9 to 3 computations (66.7% saved)

series43.0ms (0.9%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
19.0ms
x
@0
(log.f64 (+.f64 x x))
15.0ms
x
@-inf
(log.f64 (+.f64 x x))
8.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite16.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
14×rational_best-simplify-2
12×rational_best-4
12×rational_best-2
12×rational_best-3
12×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
13811
26011
36311
46911
57011
Stop Event
saturated
Counts
1 → 7
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x x)) 1)))))

simplify14.0ms (0.3%)

Algorithm
egg-herbie
Rules
rational_best-simplify-1
rational_best-simplify-2
rational_best-simplify-12
rational_best-simplify-10
rational_best-simplify-9
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030353
135337
241337
345337
Stop Event
saturated
Counts
19 → 13
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 0 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (+.f64 x x)) 0)
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(/.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (log.f64 (+.f64 x x)) 1)
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (+.f64 x x)) 0)
(log.f64 (+.f64 x x))
(+.f64 0 (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(-.f64 (log.f64 (+.f64 x x)) 0)
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(*.f64 1 (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(/.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
0.0ms
x
@-inf
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
0.0ms
x
@inf
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))

rewrite78.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1322×rational_best-4
1322×rational_best-2
1322×rational_best-3
1322×rational_best-1
1322×exponential-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
17529
210629
314929
424629
544529
683829
7168329
8344629
9561329
Stop Event
node limit
Counts
1 → 7
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)))))

simplify30.0ms (0.6%)

Algorithm
egg-herbie
Rules
208×rational_best-simplify-1
170×rational_best-simplify-43
22×rational_best-simplify-2
rational_best-simplify-12
rational_best-simplify-10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075899
1111875
2145875
3197875
4259875
5298875
6303875
Stop Event
saturated
Counts
19 → 41
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.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 1/32 (/.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 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.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 1/32 (/.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 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 0)
(+.f64 0 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))))
(-.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 0)
(*.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))))
(*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)
(/.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))))
(+.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 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (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 1/32 (/.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 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 0)
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))
(+.f64 0 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))
(-.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 0)
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))
(*.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))
(*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))
(/.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 -1 x)))) 1)
(log.f64 (+.f64 (+.f64 x x) (*.f64 (/.f64 -1 x) 1/2)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 1/2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series42.0ms (0.9%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
(log.f64 (/.f64 1/2 x))
9.0ms
x
@0
(log.f64 (/.f64 1/2 x))
5.0ms
x
@inf
(log.f64 (/.f64 1/2 x))

rewrite15.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
12×rational_best-4
12×rational_best-2
12×rational_best-3
12×rational_best-simplify-2
12×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
14411
26611
Stop Event
saturated
Counts
1 → 7
Calls
Call 1
Inputs
(log.f64 (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1/2 x)) 1)))))

simplify14.0ms (0.3%)

Algorithm
egg-herbie
Rules
rational_best-simplify-1
rational_best-simplify-2
rational_best-simplify-5
rational_best-simplify-4
rational_best-simplify-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029329
133321
238321
340321
Stop Event
saturated
Counts
19 → 13
Calls
Call 1
Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) 0)
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(-.f64 (log.f64 (/.f64 1/2 x)) 0)
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(/.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) 0)
(log.f64 (/.f64 1/2 x))
(+.f64 0 (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 1/2 x))
(-.f64 (log.f64 (/.f64 1/2 x)) 0)
(log.f64 (/.f64 1/2 x))
(*.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(*.f64 1 (log.f64 (/.f64 1/2 x)))
(log.f64 (/.f64 1/2 x))
(/.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(log.f64 (/.f64 1/2 x))

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 1 x))
0.2b
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
Compiler

Compiled 26 to 21 computations (19.2% saved)

series34.0ms (0.7%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
17.0ms
x
@0
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
9.0ms
x
@-inf
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
7.0ms
x
@inf
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
0.0ms
x
@0
(log.f64 (/.f64 1 x))
0.0ms
x
@-inf
(log.f64 (/.f64 1 x))

rewrite17.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
22×rational_best-2
22×rational_best-3
22×rational_best-simplify-2
22×rational_best-1
22×rational_best-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
17236
210436
310736
411436
511636
Stop Event
saturated
Counts
2 → 12
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 x)) 1)))))

simplify171.0ms (3.5%)

Algorithm
egg-herbie
Rules
1534×rational_best-simplify-51
1484×rational_best-simplify-1
1440×rational_best-simplify-2
1082×rational_best-simplify-49
1012×rational_best-simplify-46
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034602
140586
256586
368586
480570
590570
6111570
7166570
8249570
9387570
10632570
111031570
121517570
132453570
143800570
155522570
167202570
177449570
187569570
Stop Event
node limit
Counts
32 → 21
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 (/.f64 1 x)) 0)
(+.f64 0 (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 (/.f64 1 x)) 0)
(*.f64 1 (log.f64 (/.f64 1 x)))
(*.f64 (log.f64 (/.f64 1 x)) 1)
(/.f64 (log.f64 (/.f64 1 x)) 1)
(pow.f64 (log.f64 (/.f64 1 x)) 1)
Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(+.f64 0 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(-.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(*.f64 1 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(*.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(pow.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))

eval24.0ms (0.5%)

Compiler

Compiled 1115 to 899 computations (19.4% saved)

prune11.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New87188
Fresh000
Picked101
Done044
Total88593
Error
0b
Counts
93 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(+.f64 (log.f64 2) (log.f64 x))
63.0b
(log.f64 (/.f64 1/2 x))
0.6b
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
34.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.1b
(log.f64 (+.f64 x x))
Compiler

Compiled 37 to 28 computations (24.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series6.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
0.0ms
x
@inf
(+.f64 (log.f64 2) (log.f64 x))
0.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))

rewrite11.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
16×rational_best-simplify-1
14×rational_best-4
14×rational_best-2
14×rational_best-3
14×rational_best-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
15115
27515
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))))

simplify169.0ms (3.4%)

Algorithm
egg-herbie
Rules
16×rational_best-simplify-1
rational_best-simplify-2
rational_best-simplify-12
rational_best-simplify-10
rational_best-simplify-43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026331
134315
243315
349315
Stop Event
saturated
Counts
13 → 11
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (log.f64 x))
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(+.f64 (log.f64 2) (log.f64 x))

eval2.0ms (0%)

Compiler

Compiled 92 to 76 computations (17.4% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New11011
Fresh000
Picked011
Done044
Total11516
Error
0b
Counts
16 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(+.f64 (log.f64 2) (log.f64 x))
63.0b
(log.f64 (/.f64 1/2 x))
0.6b
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
34.2b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.1b
(log.f64 (+.f64 x x))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes14.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.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
x
4.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.6b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -62.0b remaining (-5901.3%)

Threshold costs -62.0b (-5901.3%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
Stop Event
done
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)

soundness1.2s (25%)

Algorithm
egg-herbie
Rules
1116×exponential-simplify-31
544×rational_best-simplify-1
484×rational_best-simplify-43
46×rational_best-simplify-2
26×rational_best-simplify-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462245
12342229
23432229
34982229
48622229
59712229
610412229
710532229
810532229
930092229
1031322229
1131472229
1231472229
1331472229
1431472229
1531472229
1631472229
Stop Event
node limit
Compiler

Compiled 21 to 17 computations (19% saved)

end17.0ms (0.3%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

Profiling

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