Logistic function from Lakshay Garg

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample2.3s (31.7%)

Memory
-132.4MiB live, 2 059.3MiB allocated; 1.4s collecting garbage
Samples
1.2s1 582×2valid
417.0ms2 399×1valid
397.0ms4 275×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-div: 706.0ms (43.3% of total)
ival-exp: 437.0ms (26.8% of total)
adjust: 181.0ms (11.1% of total)
ival-mult: 131.0ms (8% of total)
ival-add: 80.0ms (4.9% of total)
ival-sub: 76.0ms (4.7% of total)
exact: 11.0ms (0.7% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain171.0ms (2.3%)

Memory
17.5MiB live, 161.4MiB allocated; 19ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-0-(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))cancellation1110
Confusion
Predicted +Predicted -
+1110
-0145
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11100
-00145
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0145
1111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms88×2valid
20.0ms134×1valid
17.0ms290×0valid
Compiler

Compiled 84 to 31 computations (63.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
adjust: 41.0ms (51.9% of total)
ival-exp: 19.0ms (24.1% of total)
ival-div: 6.0ms (7.6% of total)
ival-sub: 4.0ms (5.1% of total)
ival-add: 4.0ms (5.1% of total)
ival-mult: 4.0ms (5.1% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess174.0ms (2.4%)

Memory
1.3MiB live, 133.5MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
12321
24821
312321
434321
5261321
0910
01410
12410
24010
38310
425310
5192110
6613410
0823310
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify153.0ms (2.1%)

Memory
-12.9MiB live, 173.9MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
12435
24035
38335
425335
5192135
6613435
0823335
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x

localize59.0ms (0.8%)

Memory
25.4MiB live, 79.3MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy0.0
(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy25.84769255355213
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
24.0ms145×0valid
14.0ms67×1valid
13.0ms44×2valid
Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-exp: 10.0ms (37.2% of total)
ival-div: 7.0ms (26% of total)
adjust: 4.0ms (14.9% of total)
ival-sub: 2.0ms (7.4% of total)
ival-add: 2.0ms (7.4% of total)
ival-mult: 2.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-35.3MiB live, 8.4MiB allocated; 4ms collecting garbage
Counts
5 → 20
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x))
2.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x))
1.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (exp (* -2 x)) (* -2 x))

simplify106.0ms (1.5%)

Memory
43.5MiB live, 136.2MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049164
1146164
2393154
31320154
43176154
57220154
08240140
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite232.0ms (3.2%)

Memory
-28.7MiB live, 219.2MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
15131
234431
3433731
0952930
Stop Event
iter limit
node limit
iter limit
Counts
5 → 287
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) #s(literal -1 binary64))))
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(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -4 binary64) x)) (*.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))) (cosh.f64 (*.f64 x #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) (log.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) (log.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))

eval37.0ms (0.5%)

Memory
4.6MiB live, 50.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 592 to 1 364 computations (82% saved)

prune8.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2997306
Fresh000
Picked011
Done000
Total2998307
Accuracy
100.0%
Counts
307 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
36.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
36.3%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
35.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
6.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
44.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
Compiler

Compiled 254 to 205 computations (19.3% saved)

simplify109.0ms (1.5%)

Memory
-22.2MiB live, 70.0MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033228
051228
178228
2149228
3378228
4872228
52455228
66941228
08026228
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)

localize132.0ms (1.8%)

Memory
15.4MiB live, 112.2MiB allocated; 10ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy22.068234464944897
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
accuracy25.84769255355213
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy0.0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy25.84769255355213
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy34.850419386649726
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy25.84769255355213
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy34.87775296203511
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
accuracy25.84769255355213
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy32.95978897409688
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy0.00390625
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
accuracy0.045253759768442016
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
accuracy0.140625
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
accuracy34.822667770039345
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
Samples
46.0ms44×2valid
38.0ms67×1valid
26.0ms145×0valid
Compiler

Compiled 166 to 26 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-exp: 27.0ms (34.3% of total)
adjust: 15.0ms (19% of total)
ival-mult: 10.0ms (12.7% of total)
const: 7.0ms (8.9% of total)
ival-add: 7.0ms (8.9% of total)
ival-sub: 5.0ms (6.3% of total)
ival-pow: 5.0ms (6.3% of total)
ival-div: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
20 → 38
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2/15 (pow x 2))
(* 2 x)
-2
(- (* 2 x) 2)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (* 2/15 (* x x)) (* 2 x) (- (* 2 x) 2))
3.0ms
x
@-inf
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (* 2/15 (* x x)) (* 2 x) (- (* 2 x) 2))
2.0ms
x
@0
((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (pow x 3) (- (* 2/15 (* x x)) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (* 2/15 (* x x)) (* 2 x) (- (* 2 x) 2))

simplify143.0ms (2%)

Memory
-32.7MiB live, 110.3MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089283
1252273
2694271
32454271
08416244
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2/15 (pow x 2))
(* 2 x)
-2
(- (* 2 x) 2)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(* x (- 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))

rewrite265.0ms (3.6%)

Memory
-20.7MiB live, 196.6MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033211
051211
1222211
21628211
09327211
Stop Event
iter limit
node limit
iter limit
Counts
20 → 295
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
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(*.f64 (*.f64 #s(literal 2/15 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 2/15 binary64))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 2/15 binary64) x)))
(*.f64 x (*.f64 #s(literal 2/15 binary64) x))
(sqrt.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))))
(fabs.f64 (*.f64 x #s(literal 2 binary64)))
(fabs.f64 (*.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x #s(literal 4 binary64)) x (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 x (-.f64 x #s(literal 2 binary64)))

eval58.0ms (0.8%)

Memory
7.3MiB live, 56.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 12 229 to 1 469 computations (88% saved)

prune45.0ms (0.6%)

Memory
-13.7MiB live, 31.8MiB allocated; 4ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New31510325
Fresh202
Picked235
Done011
Total31914333
Accuracy
100.0%
Counts
333 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
36.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
36.3%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
35.7%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
33.9%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
34.2%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
33.3%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
2.7%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
5.9%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
4.8%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
4.8%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
6.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 533 to 381 computations (28.5% saved)

simplify158.0ms (2.2%)

Memory
12.1MiB live, 196.5MiB allocated; 26ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff3
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff5
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039323
064332
1108332
2318306
31340294
43601294
08786287
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
#s(literal -4/3 binary64)
x
#s(literal -2 binary64)
#s(literal 1 binary64)

localize162.0ms (2.2%)

Memory
5.0MiB live, 145.0MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
accuracy0.07421875
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy13.067166586491334
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy14.631884720117979
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.08984375
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy13.067166586491334
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy13.941874031038788
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy5.825531765925466
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy13.067166586491334
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy13.941874031038788
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy0.0
(*.f64 x #s(literal -2 binary64))
accuracy13.067166586491334
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
accuracy13.890489369568403
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
accuracy14.591053345748001
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
accuracy0.015625
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
accuracy0.078125
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy0.0859375
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
accuracy14.236270152802279
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Samples
52.0ms34×1valid
33.0ms141×0invalid
26.0ms59×0valid
25.0ms22×2valid
Compiler

Compiled 217 to 34 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
adjust: 45.0ms (43.3% of total)
ival-exp: 15.0ms (14.4% of total)
ival-mult: 15.0ms (14.4% of total)
const: 10.0ms (9.6% of total)
ival-add: 8.0ms (7.7% of total)
ival-sub: 5.0ms (4.8% of total)
ival-div: 4.0ms (3.8% of total)
ival-sqrt: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Counts
25 → 58
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 x x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- (pow x 2) 1)
(sqrt x)
(* 2/15 (pow x 2))
(* -2 x)
(pow x 2)
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* x (- (* 2 (/ 1 x)) 2))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (* x x) 2/15) (* x -2) (* x x) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))
3.0ms
x
@inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (* x x) 2/15) (* x -2) (* x x) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))
3.0ms
x
@0
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (sqrt x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (* x x) 2/15) (* x -2) (* x x) (+ (* -4/3 x) 2) (+ (* (+ (* -4/3 x) 2) x) -2))

simplify125.0ms (1.7%)

Memory
-43.8MiB live, 149.4MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130467
1361446
21137443
35402439
08654416
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- (pow x 2) 1)
(sqrt x)
(* 2/15 (pow x 2))
(* -2 x)
(pow x 2)
(+ 2 (* -4/3 x))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* x (- (* 2 (/ 1 x)) 2))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x)
(* -1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(pow x 2)
(*.f64 x x)
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) x)
(* -4/3 (pow x 3))
(*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 4/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x)
(* -4/3 (pow x 2))
(*.f64 (*.f64 #s(literal 4/3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 4/3 binary64)) (*.f64 x x))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(-.f64 x #s(literal -1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 4/3 binary64)) (*.f64 x x))

rewrite138.0ms (1.9%)

Memory
30.5MiB live, 122.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039301
064274
1281272
22101272
08513265
Stop Event
iter limit
node limit
iter limit
Counts
25 → 473
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt.f64 x)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 x x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) x x)
(fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)
(fma.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) x)
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(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) #s(literal -8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(fma.f64 x (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))))
(-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))) x))
(-.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))) (/.f64 #s(literal -8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x))

eval99.0ms (1.4%)

Memory
9.2MiB live, 108.6MiB allocated; 25ms collecting garbage
Compiler

Compiled 16 528 to 2 342 computations (85.8% saved)

prune19.0ms (0.3%)

Memory
7.3MiB live, 49.2MiB allocated; 7ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New4968504
Fresh325
Picked325
Done134
Total50315518
Accuracy
100.0%
Counts
518 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
35.6%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
35.9%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
33.9%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
34.2%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
34.3%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
2.7%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
5.9%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
2.7%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
35.7%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
6.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.6%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
44.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 564 to 424 computations (24.8% saved)

simplify112.0ms (1.5%)

Memory
-25.6MiB live, 78.8MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
cost-diff2
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
cost-diff0
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
cost-diff0
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
cost-diff0
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
cost-diff0
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
cost-diff0
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
cost-diff2
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049360
068344
1112338
2318332
31379332
43226332
57486332
08020322
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))
#s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal 2 binary64)))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal 2 binary64))))
#s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* -2 x) 2) (*.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 1 binary64)

localize129.0ms (1.8%)

Memory
-8.4MiB live, 178.7MiB allocated; 38ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy0.0
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
accuracy13.067166586491334
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy14.7227680448563
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy13.067166586491334
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
accuracy13.60965111767202
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
accuracy14.116723438462211
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy13.067166586491334
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
accuracy14.591053345748001
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))
accuracy27.893013130865867
#s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
accuracy13.067166586491334
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
accuracy13.459459094113514
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
accuracy13.941874031038788
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
accuracy0.015625
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
accuracy0.078125
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
accuracy14.236270152802279
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
accuracy14.617633934478093
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
Samples
37.0ms141×0invalid
26.0ms34×1valid
17.0ms22×2valid
13.0ms59×0valid
Compiler

Compiled 205 to 34 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 22.0ms (32.2% of total)
ival-sub: 10.0ms (14.6% of total)
const: 9.0ms (13.2% of total)
adjust: 8.0ms (11.7% of total)
ival-exp: 8.0ms (11.7% of total)
ival-add: 7.0ms (10.2% of total)
ival-div: 2.0ms (2.9% of total)
ival-sqrt: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
23 → 44
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
#s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2 x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* -2 x))))
(* -2 x)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- 0 (* -2 x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (* -2 x) (* x 2) (+ (* -2 x) 2))
2.0ms
x
@inf
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- 0 (* -2 x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (* -2 x) (* x 2) (+ (* -2 x) 2))
1.0ms
x
@0
((+ (* (* (- (* (* x x) 2/15) 1/3) (* x x)) x) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (- (* (* x x) 2/15) 1/3) (* x x)) (- (* (* x x) 2/15) 1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (sqrt x) (sqrt x)) 1) (- 0 (* -2 x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (- (* 2 x) 2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (* -2 x) (* x 2) (+ (* -2 x) 2))

simplify91.0ms (1.2%)

Memory
-4.2MiB live, 129.6MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103361
1289361
2812343
03795322
Stop Event
iter limit
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2 x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* -2 x))))
(* -2 x)
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x)
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* -2 x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) x)
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))

rewrite192.0ms (2.6%)

Memory
5.5MiB live, 192.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049336
068318
1278312
22110312
08819306
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 039
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
#s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))
#s(approx (+ (* (sqrt x) (sqrt x)) 1) x)
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))))
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))
#s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
#s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (*.f64 x x))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))) (*.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x) x x)
(fma.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)
(fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(fma.f64 x (*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x) x)
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)) x))
(-.f64 x (*.f64 (neg.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
(*.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)))
(*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) x))
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(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) x) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -4 binary64)) x (fma.f64 x #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 x #s(literal -4 binary64)) x (fma.f64 x #s(literal -4 binary64) #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 x (+.f64 x #s(literal 2 binary64)))

eval85.0ms (1.2%)

Memory
-12.1MiB live, 98.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 19 720 to 2 827 computations (85.7% saved)

prune22.0ms (0.3%)

Memory
0.3MiB live, 47.0MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New5733576
Fresh325
Picked235
Done055
Total57813591
Accuracy
100.0%
Counts
591 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.4%
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
59.6%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
35.6%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
35.9%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
34.2%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
34.3%
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
2.7%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
2.7%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
6.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.6%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
4.1%
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
45.6%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
44.0%
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Compiler

Compiled 980 to 392 computations (60% saved)

regimes47.0ms (0.6%)

Memory
0.3MiB live, 46.7MiB allocated; 3ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Calls

6 calls:

13.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
x
6.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3(*.f64 #s(literal -2 binary64) x)
100.0%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
100.0%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
100.0%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
100.0%3x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes42.0ms (0.6%)

Memory
0.7MiB live, 52.2MiB allocated; 7ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

11.0ms
(*.f64 #s(literal -2 binary64) x)
7.0ms
x
6.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
77.6%2(*.f64 #s(literal -2 binary64) x)
77.6%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
77.6%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
77.6%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
77.6%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
77.6%2x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes30.0ms (0.4%)

Memory
31.5MiB live, 77.6MiB allocated; 2ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms
x
5.0ms
(*.f64 #s(literal -2 binary64) x)
4.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
77.3%2(*.f64 #s(literal -2 binary64) x)
77.3%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
77.3%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
77.3%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
77.3%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
77.3%2x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes46.0ms (0.6%)

Memory
-10.4MiB live, 34.3MiB allocated; 16ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

24.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
5.0ms
(*.f64 #s(literal -2 binary64) x)
5.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
76.6%2(*.f64 #s(literal -2 binary64) x)
76.6%2x
76.6%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
76.6%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
76.6%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
76.6%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes28.0ms (0.4%)

Memory
-4.9MiB live, 40.8MiB allocated; 5ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

8.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms
x
4.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
76.6%2(*.f64 #s(literal -2 binary64) x)
76.6%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
76.6%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
76.6%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
76.6%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
76.6%2x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes32.0ms (0.4%)

Memory
-22.2MiB live, 32.6MiB allocated; 5ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x))) #s(literal 1 binary64)) (+.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

17.0ms
(*.f64 #s(literal -2 binary64) x)
3.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
76.0%2(*.f64 #s(literal -2 binary64) x)
76.0%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
76.0%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
76.0%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
76.0%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
76.0%2x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes11.0ms (0.2%)

Memory
29.2MiB live, 29.2MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
76.0%2(*.f64 #s(literal -2 binary64) x)
76.0%2(exp.f64 (*.f64 #s(literal -2 binary64) x))
76.0%2(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
76.0%2(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
76.0%2(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
76.0%2x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes45.0ms (0.6%)

Memory
-25.7MiB live, 19.1MiB allocated; 4ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Outputs
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
Calls

6 calls:

36.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
44.0%1(*.f64 #s(literal -2 binary64) x)
44.0%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
44.0%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
44.0%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
44.0%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
44.0%1x
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes9.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Calls

6 calls:

2.0ms
(*.f64 #s(literal -2 binary64) x)
2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
6.1%1x
6.1%1(*.f64 #s(literal -2 binary64) x)
6.1%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
6.1%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.1%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
6.1%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
Calls

6 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
4.6%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.6%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.6%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.6%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.6%1x
4.6%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

6 calls:

1.0ms
(*.f64 #s(literal -2 binary64) x)
1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
1.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
4.1%1x
4.1%1(exp.f64 (*.f64 #s(literal -2 binary64) x))
4.1%1(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.1%1(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.1%1(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
4.1%1(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch54.0ms (0.7%)

Memory
1.8MiB live, 47.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
8.56846559451452e-9
830591611.3879209
35.0ms
-0.05233708595622446
-1.3654799822525877e-13
Samples
17.0ms304×0valid
2.0ms16×1valid
Compiler

Compiled 753 to 633 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 3.0ms (24.9% of total)
ival-div: 2.0ms (16.6% of total)
ival-add: 2.0ms (16.6% of total)
ival-mult: 2.0ms (16.6% of total)
ival-sub: 2.0ms (16.6% of total)
adjust: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch49.0ms (0.7%)

Memory
-18.2MiB live, 25.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
-45864.636309887836
-0.05233708595622446
Samples
41.0ms144×0valid
Compiler

Compiled 499 to 382 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (19.8% of total)
ival-add: 1.0ms (19.8% of total)
ival-exp: 1.0ms (19.8% of total)
ival-mult: 1.0ms (19.8% of total)
ival-sub: 1.0ms (19.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.05228935152151848
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.05228935152151848
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch5.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
-45864.636309887836
-0.05233708595622446
Samples
2.0ms32×0valid
Compiler

Compiled 490 to 391 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-45864.636309887836
-0.05233708595622446
Compiler

Compiled 436 to 346 computations (20.6% saved)

bsearch3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
-45864.636309887836
-0.05233708595622446
Samples
1.0ms16×0valid
Compiler

Compiled 454 to 364 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify72.0ms (1%)

Memory
-7.0MiB live, 46.9MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102448
1153448
2314448
3843448
41841448
54808448
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(if (<=.f64 x #s(literal -1152921504606847/1152921504606846976 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (or (<=.f64 x #s(literal -1152921504606847/1152921504606846976 binary64)) (not (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(approx (+ (* (+ (* -4/3 x) 2) x) -2) (*.f64 (*.f64 #s(literal 4/3 binary64) x) x)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (- (* 2 x) 2) x) 2) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -6530219459687219/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (+.f64 x x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (- (* (* x x) 2/15) 1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(approx (+ (* (sqrt x) (sqrt x)) 1) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations1.3s (18.2%)

Memory
-22.7MiB live, 1 085.2MiB allocated; 140ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033211
051211
1222211
21628211
09327211
0130467
1361446
21137443
35402439
08654416
039301
064274
1281272
22101272
08513265
089283
1252273
2694271
32454271
08416244
049164
1146164
2393154
31320154
43176154
57220154
08240140
049336
068318
1278312
22110312
08819306
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 452 to 108 computations (76.1% saved)

preprocess101.0ms (1.4%)

Memory
-0.9MiB live, 147.0MiB allocated; 14ms collecting garbage
Compiler

Compiled 924 to 234 computations (74.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...