Details

Time bar (total: 3.4s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (51.5%)

Results
1.7s8256×body256valid
2.0ms15×body256invalid

preprocess153.0ms (4.5%)

Algorithm
2×egg-herbie
Rules
600×unsub-neg_binary64
587×distribute-rgt-out--_binary64
492×fma-neg_binary64
438×distribute-neg-in_binary64
411×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22520
33620
45320
58120
612820
734520
871320
9151820
10289820
11433820
12531220
13562320
14592720
15602820
16610620
17637420
18732020
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify147.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
600×unsub-neg_binary64
587×distribute-rgt-out--_binary64
492×fma-neg_binary64
438×distribute-neg-in_binary64
411×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22520
33620
45320
58120
612820
734520
871320
9151820
10289820
11433820
12531220
13562320
14592720
15602820
16610620
17637420
18732020
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval1.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 53 to 29 computations (45.3% saved)

series7.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
2.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0ms
x
@inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite72.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
399×fma-def_binary64
368×pow-prod-down_binary64
282×pow2_binary64
203×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01029
122529
2329227
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (log.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (log.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (pow.f64 (neg.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1))) (log.f64 (pow.f64 (neg.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (log.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)) (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))))))

simplify73.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
393×associate-*r/_binary64
359×fma-neg_binary64
350×associate-/l/_binary64
344×times-frac_binary64
336×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084574
1245546
2729526
32674508
Stop Event
1×node limit
Counts
112 → 134
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
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 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(fma.f64 x (*.f64 x -1/4) (-.f64 (log.f64 2) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 x (*.f64 x -1/4) (*.f64 -3/32 (pow.f64 x 4))))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (-.f64 (log.f64 2) (log.f64 x))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (*.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 x) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2))))
(fma.f64 -5/96 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -3/32 (pow.f64 x 4) (-.f64 (log.f64 2) (log.f64 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/6 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (/.f64 1/6 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (-.f64 (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)))
(+.f64 (-.f64 (log.f64 (sqrt.f64 -1)) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (*.f64 (+.f64 (/.f64 1/6 (*.f64 x x)) 1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (fma.f64 3 (log.f64 (sqrt.f64 -1)) (/.f64 -3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) -1/8 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16))))
(+.f64 1 (fma.f64 (pow.f64 x 6) -1/16 (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 (pow.f64 x 6) -1/16 (*.f64 (pow.f64 x 4) -1/8)))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3))))
(fma.f64 x (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(fma.f64 x (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/8 (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/8 (-.f64 (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (*.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))

eval49.0ms (1.4%)

Compiler

Compiled 2665 to 1810 computations (32.1% saved)

prune18.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1322134
Fresh000
Picked011
Done000
Total1323135
Error
0b
Counts
135 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶0.5b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶33.7b
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
Compiler

Compiled 39 to 26 computations (33.3% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 15 computations (28.6% saved)

series79.0ms (2.3%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
50.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
22.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
7.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))

rewrite136.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
572×pow1_binary64
539×add-log-exp_binary64
538×log1p-expm1-u_binary64
538×expm1-log1p-u_binary64
529×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11276
217996
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 0) (log.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 0 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 0 0))))))))

simplify31.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
155×fma-neg_binary64
118×fma-def_binary64
56×cancel-sign-sub-inv_binary64
44×sub-neg_binary64
39×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017124
127108
240108
360108
4109108
5204108
6336108
7510108
8658108
9779108
10799108
Stop Event
1×saturated
Counts
33 → 25
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 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
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) (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) (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) (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) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))

localize26.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓31.5b
(/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 68 to 30 computations (55.9% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite186.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
917×pow1_binary64
858×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
837×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117419
2234219
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (/.f64 x (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))))))

simplify74.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
825×distribute-neg-frac_binary64
698×associate-/r*_binary64
507×associate-*l*_binary64
441×associate-*r*_binary64
364×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053296
1151236
2417232
31405232
46571232
Stop Event
1×node limit
Counts
45 → 54
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 5/128 (pow.f64 x 7)) (*.f64 1/16 (pow.f64 x 5)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/16 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (*.f64 x 1/8) 1/2) (*.f64 1/16 (pow.f64 x 5)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 5/128 (pow.f64 x 7)) (*.f64 1/16 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (fma.f64 5/128 (pow.f64 x 7) (*.f64 1/16 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/16 (pow.f64 x 5) (*.f64 5/128 (pow.f64 x 7)))))
(fma.f64 1/16 (pow.f64 x 5) (fma.f64 1/2 x (fma.f64 5/128 (pow.f64 x 7) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x)))) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x)))) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (sqrt.f64 -1))) (+.f64 (/.f64 -1 x) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)) (-.f64 (/.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1)))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))))))
(-.f64 (/.f64 -1 (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (/.f64 -1 (sqrt.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))))))
(-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))) (+.f64 (/.f64 -1 x) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (sqrt.f64 -1)) (-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))))

eval43.0ms (1.3%)

Compiler

Compiled 2436 to 1637 computations (32.8% saved)

prune49.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1302132
Fresh000
Picked101
Done112
Total1323135
Error
0b
Counts
135 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶0.4b
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))))
▶0.5b
(neg.f64 (log.f64 (*.f64 1/2 x)))
Compiler

Compiled 32 to 25 computations (21.9% saved)

localize10.0ms (0.3%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize23.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 3)
Compiler

Compiled 46 to 36 computations (21.7% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 x 3)
1.0ms
x
@0
(pow.f64 x 3)
0.0ms
x
@inf
(pow.f64 x 3)

rewrite46.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
335×pow1_binary64
330×add-sqr-sqrt_binary64
318×*-un-lft-identity_binary64
317×add-log-exp_binary64
317×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1884
28954
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(pow.f64 x 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (*.f64 (cbrt.f64 x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 1/6) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 x 7)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 5/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/4) (sqrt.f64 (pow.f64 x 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 x 3/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/4) (*.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 9/2)) (pow.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) 3/2) (pow.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 7) 1/3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 8) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 15/2) 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x 3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) 1) (+.f64 (+.f64 1 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 3/2)) 2))))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
51 → 51
Calls
Call 1
Inputs
Outputs

eval20.0ms (0.6%)

Compiler

Compiled 844 to 657 computations (22.2% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50151
Fresh000
Picked101
Done022
Total51354
Error
0b
Counts
54 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶0.4b
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
✓0.5b
(neg.f64 (log.f64 (*.f64 1/2 x)))
Compiler

Compiled 34 to 25 computations (26.5% saved)

localize26.0ms (0.8%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x x) x)
Compiler

Compiled 58 to 27 computations (53.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
339×associate-*l*_binary64
313×pow1_binary64
302×add-sqr-sqrt_binary64
293×*-un-lft-identity_binary64
293×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1774
28844
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x 3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) 1) (+.f64 (+.f64 1 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) 3)) 2)) (cbrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 x) 3))) (sqrt.f64 (*.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 3/2)) 2))))))

simplify168.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
676×cube-prod_binary64
666×pow-sqr_binary64
558×fabs-mul_binary64
374×unpow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
11248
21748
32648
44748
513448
650648
7116448
8125148
9138448
10154248
11177648
12209848
13252048
14302148
15362148
16434148
17466448
18494848
19517048
20535048
21543248
22637248
23734648
24781248
Stop Event
1×node limit
Counts
40 → 28
Calls
Call 1
Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)

eval10.0ms (0.3%)

Compiler

Compiled 443 to 371 computations (16.3% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done022
Total28331
Error
0b
Counts
31 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓0.4b
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
✓0.5b
(neg.f64 (log.f64 (*.f64 1/2 x)))
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes17.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

5.0ms
x
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 95 to 64 computations (32.6% saved)

regimes4.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 3)))))
Outputs
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 40 to 30 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.7%)

Threshold costs -0.0b (-0.7%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 16 to 12 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
7×*-commutative_binary64
5×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02048
13748
24748
35348
45548
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
(neg.f64 (log.f64 (*.f64 1/2 x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(neg.f64 (log.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/8 (*.f64 (*.f64 x x) x)))))
(neg.f64 (log.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/8 (*.f64 x (*.f64 x x))))))
(neg.f64 (log.f64 (*.f64 1/2 x)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
Compiler

Compiled 34 to 25 computations (26.5% saved)

soundness0.0ms (0%)

end54.0ms (1.6%)

Compiler

Compiled 32 to 22 computations (31.3% saved)

Profiling

Loading profile data...