exp neg sub

Time bar (total: 1.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample863.0ms (59.8%)

Results
499.0ms4139×body256valid
352.0ms4117×body256infinite
Bogosity

preprocess95.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
1912×fma-def
1370×div-sub
486×sqr-pow
474×associate-*r*
444×sub-neg
Problems
255×No Errors
1×(-.f64 1 (*.f64 x x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017112
14396
28796
316880
433880
580680
6307980
7527880
Stop Event
1×node limit
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))))
Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 x x)))))
(neg.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
(neg.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(neg.f64 (exp.f64 (fma.f64 x x -1)))
Symmetry

(abs x)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval1.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize34.0ms (2.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x x) -1)
Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite116.0ms (8%)

Algorithm
1×batch-egg-rewrite
Rules
480×unpow-prod-down
363×log1p-expm1-u
362×expm1-log1p-u
347×add-exp-log
340×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
18315
2102015
Stop Event
1×node limit
Counts
1 → 61
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) -1)
Outputs
(-.f64 (pow.f64 x 2) 1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (fma.f64 x x -1) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 x 1))) (cbrt.f64 (+.f64 x -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x x -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) (+.f64 -1 (pow.f64 x 6))) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 6)) 3) (pow.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 3) (pow.f64 (fma.f64 x x 1) 3)))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (pow.f64 x 2) 1 -1)
(fma.f64 1 (pow.f64 x 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)

simplify63.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
1100×div-sub
606×unswap-sqr
488×distribute-lft-in
478×distribute-rgt-in
458×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01632277
13952157
211432005
347541921
Stop Event
1×node limit
Counts
73 → 84
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (fma.f64 x x -1) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(*.f64 (pow.f64 1 1/3) (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 x 1))) (cbrt.f64 (+.f64 x -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x x -1)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) (+.f64 -1 (pow.f64 x 6))) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 6)) 3) (pow.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 3) (pow.f64 (fma.f64 x x 1) 3)))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (pow.f64 x 2) 1 -1)
(fma.f64 1 (pow.f64 x 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(*.f64 (fma.f64 x x -1) (log.f64 (E.f64)))
(fma.f64 x x -1)
(*.f64 1 (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(fma.f64 x x -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 x 1))
(fma.f64 x x -1)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 x x -1)
(*.f64 (pow.f64 1 1/3) (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3)) 1/3))
(fma.f64 x x -1)
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 -1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 x 1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 -1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 2) -1))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x (+.f64 x (pow.f64 x 3)) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (E.f64) (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) (+.f64 -1 (pow.f64 x 6))) -1)
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1))
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 6)) 3) (pow.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (pow.f64 x 2) -1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 6)) 3) (pow.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 6)) 3) (pow.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 6)) 3) (pow.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 x 6)) (fma.f64 x (+.f64 x (pow.f64 x 3)) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 3) (pow.f64 (fma.f64 x x 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 x x 1) 3)))
(cbrt.f64 (pow.f64 (/.f64 -1 (/.f64 -1 (fma.f64 x x -1))) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 x 2) 1 -1)
(fma.f64 x x -1)
(fma.f64 1 (pow.f64 x 2) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 x x -1)

eval37.0ms (2.5%)

Compiler

Compiled 1159 to 894 computations (22.9% saved)

prune11.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh000
Picked011
Done000
Total83285
Accuracy
100.0%
Counts
85 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶47.2%
(exp.f64 -1)
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶47.2%
(exp.f64 -1)
Compiler

Compiled 20 to 16 computations (20% saved)

localize16.0ms (1.1%)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
✓47.2%
(exp.f64 -1)
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes13.0ms (0.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))
Calls

5 calls:

3.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms
(-.f64 1 (*.f64 x x))
2.0ms
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
100.0%1(neg.f64 (-.f64 1 (*.f64 x x)))
100.0%1(-.f64 1 (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes4.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 -1)
Outputs
(exp.f64 -1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.2%1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
11228
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 -1)
Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 -1)
Compiler

Compiled 10 to 8 computations (20% saved)

soundness155.0ms (10.8%)

Rules
1912×fma-def
1370×div-sub
486×sqr-pow
474×associate-*r*
444×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017112
14396
28796
316880
433880
580680
6307980
7527880
Stop Event
1×node limit
Compiler

Compiled 59 to 31 computations (47.5% saved)

end0.0ms (0%)

preprocess28.0ms (2%)

Remove

(abs x)

Compiler

Compiled 48 to 36 computations (25% saved)

Profiling

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