Details

Time bar (total: 2.1s)

analyze3.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample697.0ms (33.5%)

Results
685.0ms8256×body256valid
1.0ms12×body256invalid
Bogosity

preprocess219.0ms (10.5%)

Algorithm
egg-herbie
Rules
1878×rational_best_oopsla_all_46_json_45_simplify-10
1098×rational_best_oopsla_all_46_json_45_simplify-49
1024×rational_best_oopsla_all_46_json_45_simplify-7
966×rational_best_oopsla_all_46_json_45_simplify-72
708×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11621
23921
312221
447721
5249321
6530921
7795621
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify168.0ms (8.1%)

Algorithm
egg-herbie
Rules
1878×rational_best_oopsla_all_46_json_45_simplify-10
1098×rational_best_oopsla_all_46_json_45_simplify-49
1024×rational_best_oopsla_all_46_json_45_simplify-7
966×rational_best_oopsla_all_46_json_45_simplify-72
708×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11621
23921
312221
447721
5249321
6530921
7795621
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))

eval1.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

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

rewrite144.0ms (6.9%)

Algorithm
batch-egg-rewrite
Rules
1566×rational_best_oopsla_all_46_json-2
1566×rational_best_oopsla_all_46_json-1
1566×rational_best_oopsla_all_46_json-4
1566×rational_best_oopsla_all_46_json-3
1238×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
15321
215121
362221
4309621
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x))))))))

simplify156.0ms (7.5%)

Algorithm
egg-herbie
Rules
1564×rational_best_oopsla_all_46_json_45_simplify-10
1072×rational_best_oopsla_all_46_json_45_simplify-49
934×rational_best_oopsla_all_46_json_45_simplify-7
784×rational_best_oopsla_all_46_json_45_simplify-89
594×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085834
1250784
2912778
33892778
47541778
Stop Event
node limit
Counts
32 → 49
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 0)
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(+.f64 (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 0)
(-.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x))))
(-.f64 (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x))))
Outputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 x))
(neg.f64 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (neg.f64 x))
(*.f64 x (neg.f64 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (*.f64 x -1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (neg.f64 x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (*.f64 x -1))) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (neg.f64 x))) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (*.f64 x -1))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (neg.f64 x))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 1/2 (neg.f64 x))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 0)
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 0)
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(-.f64 0 (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(-.f64 (*.f64 0 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))))) (*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)))))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))

eval124.0ms (6%)

Compiler

Compiled 963 to 714 computations (25.9% saved)

prune7.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550
Error
0.0b
Counts
50 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
0.2b
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
0.4b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.7b
x
Compiler

Compiled 42 to 33 computations (21.4% saved)

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize25.0ms (1.2%)

Compiler

Compiled 29 to 23 computations (20.7% saved)

localize25.0ms (1.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (pow.f64 x 2))
Compiler

Compiled 69 to 57 computations (17.4% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (pow.f64 x 2))
0.0ms
x
@inf
(/.f64 1 (pow.f64 x 2))
0.0ms
x
@-inf
(/.f64 1 (pow.f64 x 2))

rewrite108.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
2086×rational_best_oopsla_all_46_json-2
2086×rational_best_oopsla_all_46_json-1
2086×rational_best_oopsla_all_46_json-4
2086×rational_best_oopsla_all_46_json-3
768×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
13613
27013
320913
497313
5559813
Stop Event
node limit
Counts
1 → 56
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
Outputs
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2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))))))))

simplify69.0ms (3.3%)

Algorithm
egg-herbie
Rules
1722×rational_best_oopsla_all_46_json_45_simplify-89
1406×rational_best_oopsla_all_46_json_45_simplify-74
1152×rational_best_oopsla_all_46_json_45_simplify-49
1008×rational_best_oopsla_all_46_json_45_simplify-24
974×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110728
1460728
22626728
Stop Event
node limit
Counts
56 → 57
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (pow.f64 x 2)) 0)
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) 0))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(+.f64 0 (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 2)) 0)
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 0 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) 0))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(-.f64 0 (neg.f64 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1 (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 x 2)) 1)
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (+.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) -1)
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (-.f64 (/.f64 0 (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (-.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (-.f64 0 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (neg.f64 (/.f64 1 (pow.f64 x 2))))
(*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))))
Outputs
(+.f64 (/.f64 1 (pow.f64 x 2)) 0)
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) 0))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(/.f64 1 (pow.f64 x 2))
(+.f64 0 (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 0)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 0 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) 0))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 0))
(/.f64 1 (pow.f64 x 2))
(-.f64 0 (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (*.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 1 (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) 1)
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (+.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) -1)
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (-.f64 (/.f64 0 (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (-.f64 0 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (-.f64 0 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 -1 (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))) (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (/.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))

eval62.0ms (3%)

Compiler

Compiled 2195 to 1839 computations (16.2% saved)

prune8.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New57057
Fresh011
Picked011
Done033
Total57562
Error
0.0b
Counts
62 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
0.2b
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
0.4b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.7b
x
Compiler

Compiled 42 to 33 computations (21.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0.0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
0.2b
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
0.4b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.7b
x
Compiler

Compiled 42 to 33 computations (21.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0.0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
0.2b
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
0.4b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.7b
x
Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes11.0ms (0.5%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
Calls

2 calls:

4.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
4.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 48 to 36 computations (25% saved)

regimes4.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
Outputs
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.3b remaining (-94.8%)

Threshold costs -0.3b (-94.8%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01882
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x 1/2)
x
Outputs
(-.f64 x (+.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x 1/2)
x
Compiler

Compiled 34 to 27 computations (20.6% saved)

soundness197.0ms (9.4%)

Algorithm
egg-herbie
Rules
1564×rational_best_oopsla_all_46_json_45_simplify-10
1072×rational_best_oopsla_all_46_json_45_simplify-49
934×rational_best_oopsla_all_46_json_45_simplify-7
784×rational_best_oopsla_all_46_json_45_simplify-89
594×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085834
1250784
2912778
33892778
47541778
Stop Event
node limit
Compiler

Compiled 52 to 43 computations (17.3% saved)

end30.0ms (1.5%)

Compiler

Compiled 31 to 24 computations (22.6% saved)

Profiling

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