Rust f64::asinh

Time bar (total: 7.7s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 4 to 4 computations (0% saved)

sample460.0ms (6%)

Memory
-12.2MiB live, 741.1MiB allocated
Samples
305.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-asinh: 164.0ms (95.3% of total)
ival-true: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess11.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Rules
12×sub-neg
+-lowering-+.f64
+-lowering-+.f32
+-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1119
2159
3189
4229
5299
6369
0912
11312
01311
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
Call 2
Inputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))
Outputs
(asinh x)
(asinh (neg x))
(neg (asinh (neg x)))

explain260.0ms (3.4%)

Memory
-11.9MiB live, 403.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
730-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(fabs.f64 x)
00-0-(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1160
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))oflow-rescue730
(*.f64 x x)overflow73
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow73
Confusion
Predicted +Predicted -
+1890
-067
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18900
-0067
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
067
1189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms286×0valid
55.0ms154×1valid
52.0ms62×2valid
6.0ms10×3valid
Compiler

Compiled 128 to 40 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-log: 44.0ms (38.7% of total)
adjust: 26.0ms (22.8% of total)
ival-hypot: 17.0ms (14.9% of total)
ival-add: 11.0ms (9.7% of total)
ival-copysign: 6.0ms (5.3% of total)
ival-mult: 4.0ms (3.5% of total)
ival-fabs: 4.0ms (3.5% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.3%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
cost-diff128
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
+-commutative
sqrt-lowering-sqrt.f64
copysign-lowering-copysign.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
11349
01344
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(fabs x)
x
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1
Outputs
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs x)
(fabs.f64 x)
x
(sqrt (+ (* x x) 1))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)

localize69.0ms (0.9%)

Memory
-18.8MiB live, 134.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy73.5%
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy57.9%
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Samples
25.0ms77×1valid
14.0ms31×2valid
13.0ms143×0valid
3.0ms3valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-log: 20.0ms (45% of total)
ival-hypot: 10.0ms (22.5% of total)
ival-add: 4.0ms (9% of total)
ival-copysign: 3.0ms (6.8% of total)
ival-mult: 3.0ms (6.8% of total)
adjust: 2.0ms (4.5% of total)
ival-fabs: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (+ (* x x) 1)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)>
#<alt (log (+ (fabs x) (sqrt (+ (* x x) 1))))>
#<alt (+ (fabs x) (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (fabs x)>
Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms
x
@inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (fabs x) (sqrt (+ (* x x) 1)))
0.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
0.0ms
x
@inf
(+ (* x x) 1)

rewrite408.0ms (5.3%)

Memory
0.8MiB live, 596.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 872×accelerator-lowering-fma.f32
5 872×accelerator-lowering-fma.f64
3 070×*-lowering-*.f32
3 070×*-lowering-*.f64
2 316×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
14444
231744
3342044
0835439
Stop Event
iter limit
node limit
Counts
6 → 279
Calls
Call 1
Inputs
(+ (* x x) 1)
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)
(log (+ (fabs x) (sqrt (+ (* x x) 1))))
(+ (fabs x) (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(fabs x)
Outputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(hypot.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
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(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fabs.f64 x)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))

simplify902.0ms (11.7%)

Memory
-124.9MiB live, 1 256.4MiB allocated
Algorithm
egg-herbie
Rules
24 610×accelerator-lowering-fma.f32
24 610×accelerator-lowering-fma.f64
4 994×*-lowering-*.f32
4 994×*-lowering-*.f64
4 040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169782
1490754
21511741
35413691
08421635
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (fabs.f64 x) x))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) (fabs.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)

eval54.0ms (0.7%)

Memory
-12.6MiB live, 143.4MiB allocated
Compiler

Compiled 10 398 to 1 600 computations (84.6% saved)

prune49.0ms (0.6%)

Memory
-15.8MiB live, 122.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3429351
Fresh000
Picked101
Done000
Total3439352
Accuracy
100.0%
Counts
352 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
62.1%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
9.0%
(copysign.f64 (log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
33.5%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
32.4%
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
30.3%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
26.1%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
20.3%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
8.6%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 176 to 114 computations (35.2% saved)

simplify10.0ms (0.1%)

Memory
-15.1MiB live, 24.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
cost-diff0
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(copysign.f64 (log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
cost-diff192
(log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) x)
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) x))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
cost-diff0
(log.f64 x)
cost-diff0
(copysign.f64 (log.f64 x) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(log1p.f64 (fabs.f64 x))
cost-diff0
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Rules
104×accelerator-lowering-fma.f32
104×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
40×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024135
140135
253132
378132
491132
5102132
6104132
7105132
0105115
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
x
(copysign (log x) x)
(log x)
x
(copysign (log (+ (fabs x) x)) x)
(log (+ (fabs x) x))
(+ (fabs x) x)
(fabs x)
x
(copysign (log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)) x)
(log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1))
(+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)
(fabs x)
x
(+ (* (fabs x) 1/2) 1)
1/2
1
(copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x)
(log (+ (sqrt (+ (* x x) 1)) (fabs x)))
(+ (sqrt (+ (* x x) 1)) (fabs x))
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
x
1
(fabs x)
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(log x)
(log.f64 x)
x
(copysign (log (+ (fabs x) x)) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log (+ (fabs x) x))
(log.f64 (+.f64 x (fabs.f64 x)))
(+ (fabs x) x)
(+.f64 x (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
(copysign (log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)) x)
(copysign.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x))) x)
(log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x)))
(+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fabs x)
(fabs.f64 x)
x
(+ (* (fabs x) 1/2) 1)
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ (sqrt (+ (* x x) 1)) (fabs x)))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+ (sqrt (+ (* x x) 1)) (fabs x))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt (+ (* x x) 1))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(fabs x)
(fabs.f64 x)

localize248.0ms (3.2%)

Memory
16.1MiB live, 135.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
accuracy88.8%
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy79.5%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
accuracy100.0%
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(copysign.f64 (log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
accuracy100.0%
(fabs.f64 x)
accuracy67.8%
(log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
accuracy100.0%
(+.f64 (fabs.f64 x) x)
accuracy100.0%
(log.f64 (+.f64 (fabs.f64 x) x))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 x) x)
accuracy100.0%
(log.f64 x)
accuracy100.0%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
accuracy100.0%
(log1p.f64 (fabs.f64 x))
accuracy100.0%
(fabs.f64 x)
Samples
112.0ms15×1valid
28.0ms62×0valid
28.0ms139×0invalid
15.0ms26×2valid
15.0ms14×3valid
Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
adjust: 108.0ms (66.1% of total)
ival-log: 23.0ms (14.1% of total)
ival-copysign: 11.0ms (6.7% of total)
ival-add: 7.0ms (4.3% of total)
ival-mult: 5.0ms (3.1% of total)
ival-log1p: 3.0ms (1.8% of total)
ival-sqrt: 2.0ms (1.2% of total)
ival-fabs: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series367.0ms (4.8%)

Memory
-2.6MiB live, 187.1MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (copysign (log (+ (fabs x) x)) x)>
#<alt (log (+ (fabs x) x))>
#<alt (+ (fabs x) x)>
#<alt (log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1))>
#<alt (copysign (log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)) x)>
#<alt (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)>
#<alt (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x)>
#<alt (log (+ (sqrt (+ (* x x) 1)) (fabs x)))>
#<alt (+ (sqrt (+ (* x x) 1)) (fabs x))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (+ (* (fabs x) 1/2) 1)>
Outputs
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (copysign (log x) x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (+ x (fabs x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (copysign (log (- (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (/ x (fabs x)))>
#<alt (+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))>
#<alt (fabs x)>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt (+ x (fabs x))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt x>
#<alt (* x (+ 1 (/ (fabs x) x)))>
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))>
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
#<alt (+ 1 (* 1/2 (fabs x)))>
Calls

48 calls:

TimeVariablePointExpression
92.0ms
x
@0
(log x)
67.0ms
x
@0
(log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1))
56.0ms
x
@-inf
(log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1))
48.0ms
x
@inf
(log x)
32.0ms
x
@0
(log (+ 1 (fabs x)))

rewrite703.0ms (9.1%)

Memory
6.7MiB live, 637.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 318×accelerator-lowering-fma.f32
10 318×accelerator-lowering-fma.f64
4 628×*-lowering-*.f32
4 628×*-lowering-*.f64
3 410×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024116
1106113
2848104
0870288
Stop Event
iter limit
node limit
Counts
16 → 292
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(fabs x)
(copysign (log x) x)
(log x)
(copysign (log (+ (fabs x) x)) x)
(log (+ (fabs x) x))
(+ (fabs x) x)
(log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1))
(copysign (log (+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)) x)
(+ (* (fabs x) (+ (* (fabs x) 1/2) 1)) 1)
(copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x)
(log (+ (sqrt (+ (* x x) 1)) (fabs x)))
(+ (sqrt (+ (* x x) 1)) (fabs x))
(sqrt (+ (* x x) 1))
(+ (* (fabs x) 1/2) 1)
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (neg.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x)))) (*.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(copysign.f64 (log.f64 x) x)
(log.f64 x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(log.f64 #s(literal 0 binary64))
(+.f64 (log.f64 (fma.f64 x x #s(literal 0 binary64))) (log.f64 #s(literal 0 binary64)))
(+.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(+.f64 (log.f64 #s(literal 0 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(+.f64 (log.f64 #s(literal 0 binary64)) (neg.f64 (log.f64 (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 0 binary64)))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))))
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(neg.f64 (log.f64 #s(literal 0 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (*.f64 (fabs.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (*.f64 (fabs.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (*.f64 (fabs.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (*.f64 (fabs.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (+.f64 (fma.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (*.f64 (fabs.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)))))

simplify423.0ms (5.5%)

Memory
20.8MiB live, 731.6MiB allocated
Algorithm
egg-herbie
Rules
12 488×accelerator-lowering-fma.f32
12 488×accelerator-lowering-fma.f64
3 996×*-lowering-*.f32
3 996×*-lowering-*.f64
2 398×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02361804
16521717
219601668
360691611
089191418
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(copysign (log x) x)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (/ x (fabs x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(fabs x)
(+ x (fabs x))
(+ x (fabs x))
(+ x (fabs x))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (/ (fabs x) x)))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(+ 1 (fabs x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
(+ 1 (* 1/2 (fabs x)))
Outputs
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(copysign (log x) x)
(copysign.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (+ x (fabs x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(copysign (log (- (fabs x) (* -1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)
(log (fabs x))
(log.f64 (fabs.f64 x))
(+ (log (fabs x)) (/ x (fabs x)))
(+.f64 (log.f64 (fabs.f64 x)) (/.f64 x (fabs.f64 x)))
(+ (log (fabs x)) (* x (+ (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+.f64 (log.f64 (fabs.f64 x)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (fabs.f64 x))))
(+ (log (fabs x)) (* x (+ (* x (- (* 1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+.f64 (log.f64 (fabs.f64 x)) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 x (fabs.f64 x)) (/.f64 x (fabs.f64 x)))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 x (fabs.f64 x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 x (fabs.f64 x))))
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/3 (/ (pow (fabs x) 3) (pow x 3))) (/ (fabs x) x))))
(+.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 x (fabs.f64 x)) (/.f64 x (fabs.f64 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) (/.f64 x (fabs.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (fabs.f64 x))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/3 (/ (pow (fabs x) 3) x))) x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 (fabs.f64 x) (-.f64 (*.f64 (fabs.f64 x) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)))) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))))
(fabs x)
(fabs.f64 x)
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
(+ x (fabs x))
(+.f64 x (fabs.f64 x))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
x
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 x (fabs.f64 x))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 x (fabs.f64 x))
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f64 x (fabs.f64 x))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x))))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (+ 1 (* 1/2 (fabs x)))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 45 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 30 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f64 (log.f64 x) (/.f64 x (fabs.f64 x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (fabs.f64 x))))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (fabs.f64 x)))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fabs.f64 x)) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))) (fabs.f64 x)) x) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(+.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f64 x (fabs.f64 x))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 (fabs x)))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))

eval72.0ms (0.9%)

Memory
29.4MiB live, 183.9MiB allocated
Compiler

Compiled 11 887 to 1 577 computations (86.7% saved)

prune59.0ms (0.8%)

Memory
-56.0MiB live, 122.5MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5493552
Fresh134
Picked145
Done000
Total55110561
Accuracy
100.0%
Counts
561 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
51.1%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
62.1%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
33.1%
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
33.5%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
30.3%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
26.1%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
20.3%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
8.6%
(copysign.f64 (log.f64 x) x)
2.7%
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
Compiler

Compiled 151 to 100 computations (33.8% saved)

simplify38.0ms (0.5%)

Memory
34.1MiB live, 76.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)
cost-diff0
(log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))
cost-diff0
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(-.f64 (fabs.f64 x) x)
cost-diff0
(log.f64 (-.f64 (fabs.f64 x) x))
cost-diff0
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
cost-diff192
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(literal 0 binary64))
cost-diff0
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
cost-diff0
(fabs.f64 x)
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))
cost-diff0
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
cost-diff0
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
Rules
712×accelerator-lowering-fma.f32
712×accelerator-lowering-fma.f64
280×*-lowering-*.f32
280×*-lowering-*.f64
208×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025127
141127
255127
371127
497127
5156127
6263127
7418127
8545127
9726127
10830127
11857127
0857116
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
(+ (* x (* x 1/2)) (fabs x))
x
(* x 1/2)
1/2
(fabs x)
(copysign (log 0) x)
(log 0)
0
x
(copysign (log (+ (fabs x) 1)) x)
(log (+ (fabs x) 1))
(+ (fabs x) 1)
(fabs x)
x
1
(copysign (log (- (fabs x) x)) x)
(log (- (fabs x) x))
(- (fabs x) x)
(fabs x)
x
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(- (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(fabs x)
x
(/ -1/2 x)
-1/2
Outputs
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))) x)
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
(log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x)))
(+ (* x (* x 1/2)) (fabs x))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fabs.f64 x))
x
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(fabs x)
(fabs.f64 x)
(copysign (log 0) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(log 0)
(log.f64 #s(literal 0 binary64))
0
#s(literal 0 binary64)
x
(copysign (log (+ (fabs x) 1)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log (+ (fabs x) 1))
(log1p.f64 (fabs.f64 x))
(+ (fabs x) 1)
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
x
1
#s(literal 1 binary64)
(copysign (log (- (fabs x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(log (- (fabs x) x))
(log.f64 (-.f64 (fabs.f64 x) x))
(- (fabs x) x)
(-.f64 (fabs.f64 x) x)
(fabs x)
(fabs.f64 x)
x
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(- (+ (fabs x) (/ -1/2 x)) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(+ (fabs x) (/ -1/2 x))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
x
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)

localize232.0ms (3%)

Memory
-13.0MiB live, 220.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)
accuracy100.0%
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
accuracy100.0%
(-.f64 (fabs.f64 x) x)
accuracy100.0%
(log.f64 (-.f64 (fabs.f64 x) x))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
accuracy100.0%
(+.f64 (fabs.f64 x) #s(literal 1 binary64))
accuracy100.0%
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
accuracy100.0%
(log.f64 #s(literal 0 binary64))
accuracy100.0%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))
accuracy100.0%
(fabs.f64 x)
Samples
142.0ms256×0invalid
Compiler

Compiled 122 to 26 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-copysign: 12.0ms (33.9% of total)
ival-log: 6.0ms (16.9% of total)
ival-log1p: 5.0ms (14.1% of total)
ival-add: 4.0ms (11.3% of total)
ival-mult: 3.0ms (8.5% of total)
ival-div: 2.0ms (5.6% of total)
ival-sub: 2.0ms (5.6% of total)
ival-fabs: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-8.7MiB live, 27.9MiB allocated
Counts
17 → 192
Calls
Call 1
Inputs
#<alt (copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)>
#<alt (log (+ 1 (+ (* x (* x 1/2)) (fabs x))))>
#<alt (+ (* x (* x 1/2)) (fabs x))>
#<alt (fabs x)>
#<alt (copysign (log 0) x)>
#<alt (log 0)>
#<alt (log (+ (fabs x) 1))>
#<alt (copysign (log (+ (fabs x) 1)) x)>
#<alt (+ (fabs x) 1)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (log (- (fabs x) x))>
#<alt (- (fabs x) x)>
#<alt (copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)>
#<alt (log (- (+ (fabs x) (/ -1/2 x)) x))>
#<alt (- (+ (fabs x) (/ -1/2 x)) x)>
#<alt (+ (fabs x) (/ -1/2 x))>
#<alt (* x 1/2)>
Outputs
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (+ (fabs x) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (copysign (log 0) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (copysign (log (+ 1 (fabs x))) x)>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (+ 1 (fabs x))>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (- (fabs x) x)) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)>
#<alt (log (fabs x))>
#<alt (+ (log (fabs x)) (* -1 (/ x (fabs x))))>
#<alt (+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))>
#<alt (+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))>
#<alt (fabs x)>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (+ (fabs x) (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)>
#<alt (* -1 x)>
#<alt (* x (- (/ (fabs x) x) 1))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (/ (- (* x (fabs x)) 1/2) x)>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (fabs x)>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (- (fabs x) (* 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
1.0ms
x
@-inf
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
0.0ms
x
@0
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
0.0ms
x
@0
(log (- (+ (fabs x) (/ -1/2 x)) x))
0.0ms
x
@inf
(log (- (fabs x) x))

rewrite391.0ms (5.1%)

Memory
48.7MiB live, 778.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 354×accelerator-lowering-fma.f32
7 354×accelerator-lowering-fma.f64
3 788×/-lowering-/.f32
3 788×/-lowering-/.f64
3 612×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025103
1110103
296991
0861280
Stop Event
iter limit
node limit
Counts
17 → 313
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)
(log (+ 1 (+ (* x (* x 1/2)) (fabs x))))
(+ (* x (* x 1/2)) (fabs x))
(fabs x)
(copysign (log 0) x)
(log 0)
(log (+ (fabs x) 1))
(copysign (log (+ (fabs x) 1)) x)
(+ (fabs x) 1)
(copysign (log (- (fabs x) x)) x)
(log (- (fabs x) x))
(- (fabs x) x)
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)
(log (- (+ (fabs x) (/ -1/2 x)) x))
(- (+ (fabs x) (/ -1/2 x)) x)
(+ (fabs x) (/ -1/2 x))
(* x 1/2)
Outputs
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x x (/.f64 (fabs.f64 x) (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (fma.f64 x x (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x)) (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 x))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

simplify531.0ms (6.9%)

Memory
-16.1MiB live, 637.1MiB allocated
Algorithm
egg-herbie
Rules
13 512×accelerator-lowering-fma.f32
13 512×accelerator-lowering-fma.f64
4 372×*-lowering-*.f32
4 372×*-lowering-*.f64
2 640×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491726
16371661
218761570
361591552
081901417
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(+ (log 1/2) (* -2 (log (/ -1 x))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
(fabs x)
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(+ (fabs x) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(copysign (log 0) x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(copysign (log (+ 1 (fabs x))) x)
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(+ 1 (fabs x))
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (- (fabs x) x)) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(copysign (log (+ (fabs x) (* -1 x))) x)
(log (fabs x))
(+ (log (fabs x)) (* -1 (/ x (fabs x))))
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x)))
(fabs x)
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(+ (fabs x) (* -1 x))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(/ -1/2 x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(/ (- (* x (fabs x)) 1/2) x)
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(fabs x)
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(- (fabs x) (* 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(+ (log 1/2) (* -2 (log (/ 1 x))))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))
(fma.f64 (fma.f64 (fabs.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))
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(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ (fabs x) x) 1))
(-.f64 (fabs.f64 x) x)
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f64 (fabs.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (fabs x)) 1/2) x)
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(fabs x)
(fabs.f64 x)
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(- (fabs x) (* 1/2 (/ 1 x)))
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

eval102.0ms (1.3%)

Memory
16.0MiB live, 135.2MiB allocated
Compiler

Compiled 12 537 to 1 551 computations (87.6% saved)

prune46.0ms (0.6%)

Memory
-6.6MiB live, 112.9MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New5560556
Fresh011
Picked055
Done044
Total55610566
Accuracy
100.0%
Counts
566 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
51.1%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
62.1%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
33.1%
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
33.5%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
30.3%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
26.1%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
20.3%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
8.6%
(copysign.f64 (log.f64 x) x)
2.7%
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
Compiler

Compiled 91 to 60 computations (34.1% saved)

simplify5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
cost-diff0
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
Rules
42×*-lowering-*.f32
42×*-lowering-*.f64
20×*-commutative
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01157
12057
22857
33557
44057
54557
04549
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
(* x x)
x
(/ 1/2 (+ 1 (fabs x)))
1/2
(+ 1 (fabs x))
1
(fabs x)
(log (+ 1 (fabs x)))
Outputs
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)
(copysign.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* x x)
(*.f64 x x)
x
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1 (fabs x))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
1
#s(literal 1 binary64)
(fabs x)
(fabs.f64 x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))

localize39.0ms (0.5%)

Memory
-30.8MiB live, 83.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f64 (fabs.f64 x))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
accuracy73.4%
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
Samples
25.0ms256×0valid
Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (34.9% of total)
ival-add: 3.0ms (17.5% of total)
ival-log1p: 3.0ms (17.5% of total)
ival-copysign: 2.0ms (11.6% of total)
ival-div: 2.0ms (11.6% of total)
ival-fabs: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)>
#<alt (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))>
#<alt (* x x)>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (log (+ 1 (fabs x)))>
Outputs
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (/ 1/2 (+ 1 (fabs x)))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
#<alt (log (+ 1 (fabs x)))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
1.0ms
x
@-inf
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
0.0ms
x
@inf
(/ 1/2 (+ 1 (fabs x)))
0.0ms
x
@-inf
(/ 1/2 (+ 1 (fabs x)))
0.0ms
x
@0
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))

rewrite410.0ms (5.3%)

Memory
-7.3MiB live, 616.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 460×accelerator-lowering-fma.f32
5 460×accelerator-lowering-fma.f64
4 604×*-lowering-*.f32
4 604×*-lowering-*.f64
2 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
15750
241350
3512750
0836142
Stop Event
iter limit
node limit
Counts
6 → 288
Calls
Call 1
Inputs
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))
(* x x)
(/ 1/2 (+ 1 (fabs x)))
(fabs x)
(log (+ 1 (fabs x)))
Outputs
(copysign.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))) #s(literal -1 binary64)))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (log1p.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (fabs.f64 x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) (fabs.f64 x))))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))
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(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(*.f64 (fabs.f64 x) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) #s(literal 0 binary64))
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(+.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) #s(literal 1 binary64))))
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(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))))
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(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(-.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))
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(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log1p.f64 (fma.f64 x x (-.f64 #s(literal 0 binary64) (fabs.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
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(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)))))
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(log1p.f64 (fabs.f64 x))
(log1p.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (fabs.f64 x))))

simplify287.0ms (3.7%)

Memory
-19.0MiB live, 414.0MiB allocated
Algorithm
egg-herbie
Rules
5 724×*-lowering-*.f32
5 724×*-lowering-*.f64
2 828×cube-prod
2 322×/-lowering-/.f32
2 322×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018577
136577
274577
3134577
4200577
5317577
6601577
71607577
81936577
92479577
103409577
114838577
125445577
135922577
146425577
157023577
167204577
08435488
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(log (+ 1 (fabs x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(/ 1/2 (+ 1 (fabs x)))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
(log (+ 1 (fabs x)))
Outputs
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* 1/2 (/ (pow x 2) (+ 1 (fabs x))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(/ 1/2 (+ 1 (fabs x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))
(log (+ 1 (fabs x)))
(log1p.f64 (fabs.f64 x))

eval80.0ms (1%)

Memory
23.7MiB live, 100.0MiB allocated
Compiler

Compiled 11 980 to 1 211 computations (89.9% saved)

prune57.0ms (0.7%)

Memory
11.1MiB live, 90.4MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New3781379
Fresh000
Picked011
Done189
Total37910389
Accuracy
100.0%
Counts
389 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
5.6%
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
51.1%
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
62.1%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
33.1%
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
33.5%
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
30.3%
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
26.1%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
20.3%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
8.6%
(copysign.f64 (log.f64 x) x)
Compiler

Compiled 228 to 120 computations (47.4% saved)

regimes10.0ms (0.1%)

Memory
-11.2MiB live, 27.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
Calls

2 calls:

5.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
4.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
99.9%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-3.0MiB live, 35.5MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
Calls

2 calls:

5.0ms
x
4.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.9%3x
99.9%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-28.7MiB live, 12.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
Calls

2 calls:

3.0ms
x
3.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
99.2%3x
99.2%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
Calls

2 calls:

3.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
78.1%2x
78.1%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)
Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
62.1%1x
62.1%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-26.3MiB live, 11.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log.f64 x) x)
Outputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 x) x)
Calls

2 calls:

3.0ms
x
2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
11.9%2x
11.9%2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Accuracy

Total -1.9b remaining (-3.1%)

Threshold costs -1.9b (-3.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
Outputs
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
Calls

2 calls:

2.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
2.0ms
x
Results
AccuracySegmentsBranch
5.6%1(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
5.6%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.519223514424073e-6
28.560817895098076
0.0ms
-6.701774492199894
-5.265563044285852e-6
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.519223514424073e-6
28.560817895098076
0.0ms
-6.701774492199894
-5.265563044285852e-6
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.519223514424073e-6
28.560817895098076
0.0ms
-6.701774492199894
-5.265563044285852e-6
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.519223514424073e-6
28.560817895098076
0.0ms
-6.701774492199894
-5.265563044285852e-6
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.519223514424073e-6
28.560817895098076
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch19.0ms (0.3%)

Memory
7.0MiB live, 42.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
5.519223514493338e-6
1266997082445.1829
Samples
12.0ms160×0valid
Compiler

Compiled 216 to 151 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 2.0ms (27.7% of total)
ival-hypot: 2.0ms (27.7% of total)
ival-copysign: 1.0ms (13.9% of total)
ival-add: 1.0ms (13.9% of total)
ival-fabs: 1.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory
-8.6MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050288
162288
266288
368288
469288
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -5 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5902958103587057/590295810358705651712 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)

soundness1.2s (15.5%)

Memory
33.8MiB live, 616.9MiB allocated
Rules
24 610×accelerator-lowering-fma.f32
24 610×accelerator-lowering-fma.f64
10 318×accelerator-lowering-fma.f32
10 318×accelerator-lowering-fma.f64
5 724×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018577
136577
274577
3134577
4200577
5317577
6601577
71607577
81936577
92479577
103409577
114838577
125445577
135922577
146425577
157023577
167204577
08435488
0169782
1490754
21511741
35413691
08421635
024116
1106113
2848104
0870288
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 490 to 178 computations (63.7% saved)

preprocess92.0ms (1.2%)

Memory
4.0MiB live, 199.6MiB allocated
Compiler

Compiled 646 to 138 computations (78.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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