Details

Time bar (total: 7.4s)

analyze1.3s (17.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
3%47%50%13
3.1%46.9%50%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.0s (54.1%)

Results
2.5s4085×body2048valid
966.0ms2146×body1024valid
330.0ms987×body512valid
118.0ms488×body256valid
86.0ms548×body128valid
2.0ms2×body4096valid
1.0ms9×body128invalid

preprocess36.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
685×div-sub_binary64
303×associate-/r*_binary64
302×fma-def_binary64
296×fma-neg_binary64
220×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
13119
27617
321517
464017
5182817
6439417
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify29.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
685×div-sub_binary64
303×associate-/r*_binary64
302×fma-def_binary64
296×fma-neg_binary64
220×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01019
13119
27617
321517
464017
5182817
6439417
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
Compiler

Compiled 53 to 36 computations (32.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
✓0.0b
(fma.f64 v (*.f64 v -5) 1)
✓0.3b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
v
@-inf
(fma.f64 v (*.f64 v -5) 1)
1.0ms
v
@inf
(fma.f64 v (*.f64 v -5) 1)
1.0ms
v
@0
(fma.f64 v (*.f64 v -5) 1)
1.0ms
v
@inf
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0ms
v
@0
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))

rewrite86.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
891×log1p-expm1-u_binary64
891×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
93×*-un-lft-identity_binary64
93×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
119940
2233140
Stop Event
1×node limit
Counts
3 → 78
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(fma.f64 v (*.f64 v -5) 1)
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 v (*.f64 v -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (*.f64 v -5)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 v -5) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 v (*.f64 v -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 v -5)) 3) 1) (+.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) (-.f64 1 (*.f64 (*.f64 v (*.f64 v -5)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 v (*.f64 v -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 v (*.f64 v -5) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 v (*.f64 v -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 v (*.f64 v -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 v (*.f64 v -5) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5) 1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 v (*.f64 v -5) 1)) (/.f64 1 (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 v v -1)) (fma.f64 v (*.f64 v -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 v v -1) 2))) (/.f64 (fma.f64 v (*.f64 v -5) 1) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) (cbrt.f64 (pow.f64 (fma.f64 v v -1) 2))) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (cbrt.f64 (pow.f64 (fma.f64 v v -1) 2))) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5) 1)) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 v v -1))) (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) 2) (sqrt.f64 (fma.f64 v v -1))) (/.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 3) (pow.f64 (fma.f64 v v -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))))))

simplify38.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
660×cancel-sign-sub-inv_binary64
549×fma-def_binary64
285×unswap-sqr_binary64
212×distribute-neg-frac_binary64
194×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042485
1118448
2329446
31005446
43278446
Stop Event
1×node limit
Counts
114 → 99
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
1
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(*.f64 -5 (pow.f64 v 2))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(*.f64 -5 (pow.f64 v 2))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) (*.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) (+.f64 (*.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
1
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 v (*.f64 v -5) 1)
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 v (*.f64 v 4) -1)
(-.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) (*.f64 4 (pow.f64 v 4))) 1)
(+.f64 (*.f64 4 (+.f64 (*.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) (+.f64 (*.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (*.f64 v v) (*.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 -1 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))))
(fma.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v (+.f64 v (pow.f64 v 3)) (pow.f64 v 6)) -1)
(fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(+.f64 -5 (neg.f64 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 -5 (neg.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 -5 (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (*.f64 v v))))
(-.f64 (/.f64 -4 (*.f64 v v)) (-.f64 (/.f64 4 (pow.f64 v 4)) -5))
(+.f64 -5 (-.f64 (/.f64 -4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(+.f64 -5 (neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (+.f64 (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 6))))
(+.f64 -5 (+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
(+.f64 -5 (+.f64 (-.f64 (/.f64 -4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(+.f64 -5 (neg.f64 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 -5 (neg.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 -5 (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (*.f64 v v))))
(-.f64 (/.f64 -4 (*.f64 v v)) (-.f64 (/.f64 4 (pow.f64 v 4)) -5))
(+.f64 -5 (-.f64 (/.f64 -4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(neg.f64 (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(+.f64 -5 (neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (+.f64 (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 6))))
(+.f64 -5 (+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
(+.f64 -5 (+.f64 (-.f64 (/.f64 -4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))

prune291.0ms (3.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New96399
Fresh000
Picked101
Done000
Total973100
Error
0.3b
Counts
100 → 3
Alt Table
StatusErrorProgram
0.3b
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
1.9b
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
▶0.3b
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
Compiler

Compiled 1880 to 1380 computations (26.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1))
✓0.1b
(*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5)))
✓0.1b
(*.f64 v (*.f64 v -5))
✓0.3b
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 v (*.f64 v -5))
1.0ms
v
@inf
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1))
1.0ms
v
@inf
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
1.0ms
v
@0
(*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5)))
1.0ms
v
@inf
(*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5)))

rewrite75.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
260×expm1-udef_binary64
260×log1p-udef_binary64
158×add-sqr-sqrt_binary64
152×*-un-lft-identity_binary64
152×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01472
131642
2451542
Stop Event
1×node limit
Counts
4 → 100
Calls
Call 1
Inputs
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
(*.f64 v (*.f64 v -5))
(*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5)))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v -5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v v) 2) 25) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 v v) 2) 25))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 v (*.f64 v -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -5) v) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (*.f64 v -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5))) 1))))))
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simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
621×times-frac_binary64
421×fma-neg_binary64
379×associate-/l*_binary64
303×associate-/r*_binary64
296×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026629
162595
2193595
3710579
44553579
Stop Event
1×node limit
Counts
148 → 109
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
1
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(*.f64 -5 (pow.f64 v 2))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(*.f64 -5 (pow.f64 v 2))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
Outputs
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 -5 (*.f64 v v) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v (*.f64 v -5) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 -5 (*.f64 v v) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v (*.f64 v -5) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 -5 (*.f64 v v) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v (*.f64 v -5) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (-.f64 (*.f64 -5 (pow.f64 v 2)) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 -5 (*.f64 v v) -1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v (*.f64 v -5) -1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 25 (pow.f64 v 4)) 1) (*.f64 (+.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1)))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 25 (pow.f64 v 4) -1) (*.f64 (fma.f64 v v -1) (+.f64 1 (*.f64 (*.f64 v v) 5))))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 25 (pow.f64 v 4) -1)) (*.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) 5 1))))
(acos.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 v 4) -25)) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 4) -25 1) (*.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) 1))))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
(*.f64 25 (pow.f64 v 4))
1
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (*.f64 v v))
(*.f64 v (*.f64 v -5))
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)
(+.f64 1 (*.f64 -5 (pow.f64 v 2)))
(+.f64 1 (*.f64 -5 (*.f64 v v)))
(fma.f64 -5 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -5) 1)

prune564.0ms (7.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1412143
Fresh202
Picked011
Done000
Total1433146
Error
0.3b
Counts
146 → 3
Alt Table
StatusErrorProgram
1.9b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
▶0.3b
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓0.3b
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
Compiler

Compiled 3696 to 2692 computations (27.2% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0b
(fma.f64 v (*.f64 v -5) 1)
✓0.0b
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.3b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
v
@0
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.0ms
v
@inf
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.0ms
v
@-inf
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

rewrite43.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
471×log-prod_binary64
272×pow2_binary64
190×pow1/3_binary64
188×expm1-udef_binary64
188×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
122017
2254017
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (neg.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1) (+.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

simplify36.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
862×fma-neg_binary64
343×div-sub_binary64
335×fma-def_binary64
247×sub-neg_binary64
215×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010204
117204
224204
333204
451204
592204
6174204
7384204
8782204
92473204
104586204
Stop Event
1×node limit
Counts
57 → 46
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

prune440.0ms (5.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh101
Picked101
Done011
Total1453148
Error
0.3b
Counts
148 → 3
Alt Table
StatusErrorProgram
✓0.3b
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
▶1.9b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
2.3b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))
Compiler

Compiled 3668 to 2754 computations (24.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 v (*.f64 v -5) 1)
✓0.4b
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓1.0b
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
✓1.0b
(cbrt.f64 (*.f64 (PI.f64) 1/2))

series1.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
v
@0
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
0.0ms
v
@-inf
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
0.0ms
v
@inf
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite70.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
255×expm1-udef_binary64
255×log1p-udef_binary64
209×log-pow_binary64
154×prod-diff_binary64
151×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
132034
2353734
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v 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(sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (neg.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))))

simplify38.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
862×fma-neg_binary64
343×div-sub_binary64
335×fma-def_binary64
247×sub-neg_binary64
215×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010204
117204
224204
333204
451204
592204
6174204
7384204
8782204
92473204
104586204
Stop Event
1×node limit
Counts
128 → 118
Calls
Call 1
Inputs
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
Outputs
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

prune211.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1701171
Fresh101
Picked101
Done011
Total1722174
Error
0.3b
Counts
174 → 2
Alt Table
StatusErrorProgram
2.6b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓0.3b
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
Compiler

Compiled 7467 to 5624 computations (24.7% saved)

regimes24.0ms (0.3%)

Accuracy

Total -2.3b remaining (-669.2%)

Threshold costs -2.3b (-669.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Outputs
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
Results
6.0ms0.3bv
2.0ms0.3b(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms0.3b(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
5.0ms0.3b(*.f64 v v)
Compiler

Compiled 327 to 236 computations (27.8% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12140
22340
Stop Event
1×saturated
Calls
Call 1
Inputs
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
Outputs
(acos.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) 1) (-.f64 (*.f64 v (*.f64 v -5)) 1)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v -5)) (*.f64 v (*.f64 v -5))) -1) (+.f64 (*.f64 v (*.f64 v -5)) -1)) (fma.f64 v v -1)))

end38.0ms (0.5%)

Stop Event
1×fuel
Compiler

Compiled 56 to 40 computations (28.6% saved)

Profiling

Loading profile data...