Details

Time bar (total: 5.4s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%25%25%0%3
50%25%25%0%25%25%0%4
75%37.5%12.5%0%25%25%0%5
87.5%43.7%6.2%0%25%25%0%6
93.8%46.9%3.1%0%25%25%0%7
96.9%48.4%1.6%0%25%25%0%8
98.4%49.2%0.8%0%25%25%0%9
99.2%49.6%0.4%0%25%25%0%10
99.6%49.8%0.2%0%25%25%0%11
99.8%49.9%0.1%0%25%25%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.5s (64.9%)

Results
2.1s4127×body1024valid
667.0ms2015×body512valid
347.0ms1693×body256valid
295.0ms421×body2048valid
1.0ms6×body256invalid
Bogosity

preprocess249.0ms (4.6%)

Algorithm
2×egg-herbie
Rules
781×fma-neg_binary64
596×distribute-rgt-in_binary64
596×unsub-neg_binary64
511×fma-def_binary64
419×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12013
22813
34313
47313
510913
615313
727213
859113
9104213
10148113
11187713
12208113
13222313
14256913
15371213
16495013
17572613
18600813
19610413
20622413
21626213
22668613
23712813
24743613
25754413
26759213
27761213
28762013
29762013
30762013
31798013
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify242.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
781×fma-neg_binary64
596×distribute-rgt-in_binary64
596×unsub-neg_binary64
511×fma-def_binary64
419×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01115
12013
22813
34313
47313
510913
615313
727213
859113
9104213
10148113
11187713
12208113
13222313
14256913
15371213
16495013
17572613
18600813
19610413
20622413
21626213
22668613
23712813
24743613
25754413
26759213
27761213
28762013
29762013
30762013
31798013
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New123
Fresh101
Picked000
Done000
Total224
Error
0.0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶58.2b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 20 to 16 computations (20% saved)

localize48.0ms (0.9%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓5.2b
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 35 to 26 computations (25.7% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite52.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
843×pow1_binary64
786×log1p-expm1-u_binary64
786×expm1-log1p-u_binary64
785×add-log-exp_binary64
771×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0722
115120
2207920
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))

simplify71.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
655×fma-def_binary64
450×fma-neg_binary64
354×distribute-rgt-in_binary64
343×unswap-sqr_binary64
324×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01971309
15271180
218501100
376241100
Stop Event
1×node limit
Counts
86 → 136
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2 x)) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2 x)) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 x))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 -1 x)))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 x -1)))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (neg.f64 x)) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (fma.f64 (log1p.f64 (neg.f64 x)) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 6) (fma.f64 x (neg.f64 x) 1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (+.f64 x 1))) (-.f64 1 (pow.f64 x 3)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) -1)
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 0)
(/.f64 (-.f64 -1 x) (+.f64 x -1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓0.0b
(log1p.f64 (neg.f64 x))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (neg.f64 x))
1.0ms
x
@0
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms
x
@inf
(log1p.f64 (neg.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms
x
@-inf
(log1p.f64 (neg.f64 x))

rewrite42.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
519×pow1_binary64
484×add-log-exp_binary64
484×expm1-log1p-u_binary64
482×log1p-expm1-u_binary64
475×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
113011
2186511
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(log1p.f64 (neg.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))))))

simplify50.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
677×div-sub_binary64
377×fma-def_binary64
306×fma-neg_binary64
257×associate-/l*_binary64
247×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0176570
1481461
21349457
36158457
Stop Event
1×node limit
Counts
74 → 134
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x)))) (/.f64 1/3 (pow.f64 x 3))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (-.f64 (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 x 2 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (log.f64 -1) (/.f64 2 x))
(-.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (-.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (-.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(log1p.f64 x)
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
0
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
0
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
0
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
0
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
0
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
0
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
0
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
0
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
0
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(sqrt.f64 0)
(log.f64 (/.f64 (+.f64 x 1) (+.f64 x 1)))
0
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
0
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
0

eval83.0ms (1.5%)

Compiler

Compiled 4123 to 2824 computations (31.5% saved)

prune41.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2664270
Fresh000
Picked011
Done011
Total2666272
Error
0b
Counts
272 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.6b
(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 x)))
✓0.0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶0.8b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶1.1b
(*.f64 1/2 (*.f64 x 2))
✓58.2b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶60.5b
(*.f64 1/2 0)
Compiler

Compiled 50 to 41 computations (18% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize6.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize21.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))

rewrite40.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
498×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213237
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))))

simplify40.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1129×log-prod_binary64
473×exp-sum_binary64
411×distribute-rgt-in_binary64
404×distribute-lft-in_binary64
330×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037143
196110
230977
3185977
4597477
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 x) (neg.f64 x))
Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (log1p.f64 x) (neg.f64 x))
0.0ms
x
@-inf
(-.f64 (log1p.f64 x) (neg.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 x) (neg.f64 x))

rewrite38.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
496×pow1_binary64
481×add-sqr-sqrt_binary64
464×add-log-exp_binary64
463×expm1-log1p-u_binary64
462×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058
11126
216846
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (log1p.f64 x)) (fma.f64 x 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (log1p.f64 x)) (fma.f64 x -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2) (/.f64 1 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 2) (cbrt.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (log1p.f64 x))) (sqrt.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (pow.f64 (+.f64 x (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2) (+.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2)) (neg.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) x)))))

simplify46.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
603×fma-def_binary64
498×associate-*l*_binary64
464×associate-*r*_binary64
290×log-prod_binary64
276×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0120544
1318509
21167506
37389506
Stop Event
1×node limit
Counts
47 → 79
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
x
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 x (log1p.f64 x))
(+.f64 (log1p.f64 x) x)
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 x 1 x))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 x -1 x))
(+.f64 (-.f64 (log1p.f64 x) 0) x)
(*.f64 (+.f64 x (log1p.f64 x)) 1)
(*.f64 1 (+.f64 x (log1p.f64 x)))
(*.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2) (/.f64 1 (+.f64 x (log1p.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 2) (cbrt.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (log1p.f64 x))) (sqrt.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (pow.f64 (+.f64 x (log1p.f64 x)) 2)))
(/.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2) (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (log1p.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2)) (neg.f64 (+.f64 x (log1p.f64 x))))
(pow.f64 (+.f64 x (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (log1p.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (log.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) x)
Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(fma.f64 2 x (*.f64 x (*.f64 x -1/2)))
(*.f64 x (+.f64 2 (*.f64 x -1/2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
x
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) x)
(fma.f64 -1 (neg.f64 (log.f64 x)) x)
(+.f64 x (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) (log.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 x (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 x (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 x (log.f64 x)) (/.f64 1/2 (*.f64 x x))))
x
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 x (log.f64 -1)))
(-.f64 (+.f64 x (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 x (/.f64 1 x)) (log.f64 -1)))
(+.f64 (-.f64 (+.f64 x (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(+.f64 x (+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 x (/.f64 1 x)) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (-.f64 (+.f64 x (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 1 x)) (/.f64 (/.f64 1/2 x) x))
(+.f64 (+.f64 x (/.f64 1 x)) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 x (log1p.f64 x))
(+.f64 (log1p.f64 x) x)
(+.f64 x (log1p.f64 x))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 x 1 x))
(+.f64 x (+.f64 (log1p.f64 x) (fma.f64 x 1 x)))
(+.f64 x (+.f64 (log1p.f64 x) (+.f64 x x)))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 x (log1p.f64 x))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 x (log1p.f64 x))
(+.f64 (+.f64 x (log1p.f64 x)) (fma.f64 x -1 x))
(+.f64 x (log1p.f64 x))
(+.f64 (-.f64 (log1p.f64 x) 0) x)
(+.f64 x (log1p.f64 x))
(*.f64 (+.f64 x (log1p.f64 x)) 1)
(+.f64 x (log1p.f64 x))
(*.f64 1 (+.f64 x (log1p.f64 x)))
(+.f64 x (log1p.f64 x))
(*.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2) (/.f64 1 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(*.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 2))
(+.f64 x (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 2) (cbrt.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(*.f64 (sqrt.f64 (+.f64 x (log1p.f64 x))) (sqrt.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x (+.f64 x (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x (+.f64 x (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(/.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (pow.f64 (+.f64 x (log1p.f64 x)) 2)))
(+.f64 x (log1p.f64 x))
(/.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2) (+.f64 x (log1p.f64 x)))
(+.f64 x (log1p.f64 x))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x (+.f64 x (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (-.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x (-.f64 x (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x (+.f64 x (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2)) (neg.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(pow.f64 (+.f64 x (log1p.f64 x)) 1)
(+.f64 x (log1p.f64 x))
(pow.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 3) 1/3)
(+.f64 x (log1p.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x (log1p.f64 x))) 3)
(+.f64 x (log1p.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x (log1p.f64 x))) 2)
(+.f64 x (log1p.f64 x))
(sqrt.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 2))
(+.f64 x (log1p.f64 x))
(log.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x (log1p.f64 x)) 3))
(+.f64 x (log1p.f64 x))
(expm1.f64 (log1p.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(exp.f64 (log.f64 (+.f64 x (log1p.f64 x))))
(+.f64 x (log1p.f64 x))
(fma.f64 1 (log1p.f64 x) x)
(+.f64 x (log1p.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) x)
(+.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) x)
(+.f64 x (log1p.f64 x))

eval48.0ms (0.9%)

Compiler

Compiled 1271 to 811 computations (36.2% saved)

prune46.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New91293
Fresh000
Picked101
Done145
Total93699
Error
0b
Counts
99 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓0.8b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶1.6b
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x -1/2))))
✓1.1b
(*.f64 1/2 (*.f64 x 2))
✓58.2b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶52.0b
(*.f64 1/2 x)
Compiler

Compiled 52 to 42 computations (19.2% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 2 (*.f64 x -1/2)))
Compiler

Compiled 29 to 22 computations (24.1% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 x (+.f64 2 (*.f64 x -1/2)))
1.0ms
x
@inf
(*.f64 x (+.f64 2 (*.f64 x -1/2)))
0.0ms
x
@0
(*.f64 x (+.f64 2 (*.f64 x -1/2)))

rewrite41.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
813×pow1_binary64
763×add-log-exp_binary64
762×log1p-expm1-u_binary64
762×expm1-log1p-u_binary64
750×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11588
220618
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 x (+.f64 2 (*.f64 x -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (*.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 (*.f64 x x) 1/4))) (+.f64 2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))))))

simplify39.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
434×distribute-rgt-neg-out_binary64
415×distribute-lft-neg-out_binary64
319×fma-neg_binary64
265×cancel-sign-sub-inv_binary64
261×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085482
1250367
2927353
33572353
Stop Event
1×node limit
Counts
36 → 39
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x 2))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 2))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (*.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1 x))))
(/.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 2 (*.f64 1/2 x)))
(/.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1 x))))
(/.f64 (*.f64 x (-.f64 4 (*.f64 (*.f64 x x) 1/4))) (+.f64 2 (*.f64 1/2 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/2 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 2))))
(fma.f64 x 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 2 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 x 2))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/2 2))) 1)
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (*.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (fma.f64 x (*.f64 4 x) (fma.f64 1/4 (pow.f64 x 4) (pow.f64 x 3))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 6))) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/4 1) 4)))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (*.f64 x 2) (*.f64 -1/2 (*.f64 x x))))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(/.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1 x))))
(/.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (neg.f64 x))))
(/.f64 (fma.f64 x 8 (*.f64 -1/8 (pow.f64 x 4))) (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 8) (/.f64 x (fma.f64 x (fma.f64 x 1/4 1) 4)))
(/.f64 (*.f64 (-.f64 4 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 2 (*.f64 1/2 x)))
(/.f64 (-.f64 4 (*.f64 (*.f64 x x) 1/4)) (/.f64 (+.f64 2 (*.f64 x 1/2)) x))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) (+.f64 4 (*.f64 (*.f64 x x) -1/4)))
(*.f64 (fma.f64 x (*.f64 x -1/4) 4) (/.f64 x (fma.f64 x 1/2 2)))
(/.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1 x))))
(/.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 3) -1/8))) (+.f64 4 (-.f64 (*.f64 (*.f64 x x) 1/4) (neg.f64 x))))
(/.f64 (fma.f64 x 8 (*.f64 -1/8 (pow.f64 x 4))) (+.f64 4 (fma.f64 (*.f64 x x) 1/4 x)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 8) (/.f64 x (fma.f64 x (fma.f64 x 1/4 1) 4)))
(/.f64 (*.f64 x (-.f64 4 (*.f64 (*.f64 x x) 1/4))) (+.f64 2 (*.f64 1/2 x)))
(/.f64 (-.f64 4 (*.f64 (*.f64 x x) 1/4)) (/.f64 (+.f64 2 (*.f64 x 1/2)) x))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) (+.f64 4 (*.f64 (*.f64 x x) -1/4)))
(*.f64 (fma.f64 x (*.f64 x -1/4) 4) (/.f64 x (fma.f64 x 1/2 2)))
(pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 1)
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 3) 1/3)
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 2))) 3)
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 2))) 2)
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 2))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 2)) x))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 2)) 3))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/2 2) 3)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 2) 3) (pow.f64 x 3)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 2))))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 2))))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 2))))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(fma.f64 x 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))
(fma.f64 2 x (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (fma.f64 x -1/2 2))

eval13.0ms (0.3%)

Compiler

Compiled 599 to 434 computations (27.5% saved)

prune8.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done055
Total39645
Error
0b
Counts
45 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓0.8b
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓1.6b
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x -1/2))))
✓1.1b
(*.f64 1/2 (*.f64 x 2))
✓58.2b
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓52.0b
(*.f64 1/2 x)
Compiler

Compiled 52 to 42 computations (19.2% saved)

regimes26.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x -1/2))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 x)))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

13.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
5.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.0b1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0b1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 101 to 78 computations (22.8% saved)

regimes43.0ms (0.8%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x -1/2))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 x)))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
Calls

4 calls:

5.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.8b1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.8b1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 93 to 74 computations (20.4% saved)

regimes10.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x -1/2))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 x)))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (*.f64 x 2))
Calls

3 calls:

4.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
ErrorSegmentsBranch
1.1b1x
1.1b1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.1b1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -8.5b remaining (-16.4%)

Threshold costs -8.5b (-16.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
Outputs
(*.f64 1/2 x)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
52.0b1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
3×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141
13341
23841
34141
44241
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 x)
(*.f64 1/2 0)
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 x)
(*.f64 1/2 0)
0
Compiler

Compiled 33 to 27 computations (18.2% saved)

soundness437.0ms (8.1%)

Algorithm
1×egg-herbie
Rules
781×fma-neg_binary64
596×distribute-rgt-in_binary64
596×unsub-neg_binary64
511×fma-def_binary64
419×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01115
12013
22813
34313
47313
510913
615313
727213
859113
9104213
10148113
11187713
12208113
13222313
14256913
15371213
16495013
17572613
18600813
19610413
20622413
21626213
22668613
23712813
24743613
25754413
26759213
27761213
28762013
29762013
30762013
31798013
Stop Event
1×node limit
Compiler

Compiled 75 to 63 computations (16% saved)

end44.0ms (0.8%)

Compiler

Compiled 29 to 23 computations (20.7% saved)

Profiling

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