Logistic function from Lakshay Garg

Time bar (total: 15.3s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.4s (9.1%)

Memory
44.8MiB live, 2 571.7MiB allocated
Samples
749.0ms3 992×1valid
331.0ms4 264×0valid
Precisions
Click to see histograms. Total time spent on operations: 811.0ms
ival-exp: 320.0ms (39.5% of total)
ival-mult: 192.0ms (23.7% of total)
ival-div: 89.0ms (11% of total)
ival-sub: 77.0ms (9.5% of total)
ival-add: 69.0ms (8.5% of total)
adjust: 46.0ms (5.7% of total)
...in/eval/compile.rkt:110:19: 11.0ms (1.4% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess27.0ms (0.2%)

Memory
-4.7MiB live, 34.7MiB allocated
Algorithm
2×egg-herbie
Rules
102×sub-neg
56×exp-prod
56×+-commutative
32×associate-+l-
32×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02364
14762
28960
313460
416860
521960
627160
731760
836960
943660
1047560
1149260
1250760
1352060
1452860
1553260
0910
11810
22110
02110
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
Call 2
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)
Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)
(+ (/ 2 (+ 1 (pow (exp x) 2))) -1)
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1)
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1))
(+ 1 (/ 2 (- -1 (pow (exp x) 2))))
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
(+ 1 (/ 2 (- -1 (pow (exp -2) x))))
(- (/ 2 (+ 1 (exp (* -2 y)))) 1)
(+ (/ 2 (+ 1 (pow (exp -2) y))) -1)
Symmetry

(abs y)

explain151.0ms (1%)

Memory
-1.8MiB live, 399.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-0-(-.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))cancellation1231
Confusion
Predicted +Predicted -
+1230
-0133
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-01132
Precision?
0.9919354838709677
Recall?
1.0
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms242×1valid
19.0ms270×0valid
Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-exp: 19.0ms (44% of total)
ival-div: 5.0ms (11.6% of total)
ival-mult: 5.0ms (11.6% of total)
ival-add: 5.0ms (11.6% of total)
ival-sub: 4.0ms (9.3% of total)
adjust: 3.0ms (6.9% of total)
...in/eval/compile.rkt:110:19: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Compiler

Compiled 12 to 11 computations (8.3% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.7%
(-.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 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
1×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))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×exp-lowering-exp.f32
6×exp-lowering-exp.f64
4×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
11835
22135
02135
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
Outputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2
#s(literal 2 binary64)
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1
#s(literal 1 binary64)
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x

localize49.0ms (0.3%)

Memory
6.5MiB live, 116.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) x)
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓accuracy55.7%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Samples
28.0ms121×1valid
8.0ms135×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 10.0ms (43.6% of total)
ival-div: 5.0ms (21.8% of total)
ival-mult: 3.0ms (13.1% of total)
ival-add: 2.0ms (8.7% of total)
ival-sub: 2.0ms (8.7% of total)
adjust: 1.0ms (4.4% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-26.4MiB live, 12.6MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (exp (* -2 x))>
#<alt (* -2 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
Calls

15 calls:

TimeVariablePointExpression
9.0ms
x
@0
(exp (* -2 x))
1.0ms
x
@inf
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms
x
@0
(* -2 x)
1.0ms
x
@-inf
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms
x
@0
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite398.0ms (2.6%)

Memory
66.6MiB live, 764.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 790×accelerator-lowering-fma.f32
3 790×accelerator-lowering-fma.f64
3 628×*-lowering-*.f32
3 628×*-lowering-*.f64
2 806×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
14831
236631
3597131
0813731
Stop Event
1×iter limit
1×node limit
Counts
5 → 305
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
(* -2 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 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (/.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) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 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(literal -1 binary64)))
(-.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 -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.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) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.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) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.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))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (pow.f64 (/.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) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (/.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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal -4 binary64) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -1 binary64)))) (log.f64 (exp.f64 (*.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64) (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 x #s(literal -2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))

simplify557.0ms (3.6%)

Memory
-11.0MiB live, 906.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
3 260×*-lowering-*.f32
3 260×*-lowering-*.f64
1 930×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049394
1119394
2234384
3604384
41194384
51764384
62024384
72599384
83669384
95745384
106685384
117091384
127233384
137295384
147337384
08101363
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
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 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

eval52.0ms (0.3%)

Memory
-11.2MiB live, 109.2MiB allocated
Compiler

Compiled 8 400 to 1 104 computations (86.9% saved)

prune57.0ms (0.4%)

Memory
-21.6MiB live, 138.5MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New35213365
Fresh000
Picked011
Done000
Total35214366
Accuracy
100.0%
Counts
366 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
▶55.7%
(fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
55.7%
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))))
▶28.7%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
29.8%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
29.3%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
✓55.7%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.7%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.6%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
49.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
▶50.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
48.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶55.7%
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
▶50.8%
x
Compiler

Compiled 590 to 310 computations (47.5% saved)

simplify271.0ms (1.8%)

Memory
21.4MiB live, 295.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))
✓cost-diff12800
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
✓cost-diff64
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
✓cost-diff128
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64))
✓cost-diff13312
(fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
Rules
3 356×accelerator-lowering-fma.f32
3 356×accelerator-lowering-fma.f64
1 700×*-lowering-*.f32
1 700×*-lowering-*.f64
840×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035266
189265
2194263
3427257
4581257
5763257
61020257
71421248
82093246
93070246
103906246
114067246
124122246
134125246
144125246
154229246
164269246
174269246
184275246
04275235
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ (pow (+ 1 (exp (* -2 x))) -2) 1)) (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))))
(/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
4
(+ 1 (/ 2 (+ 1 (exp (* -2 x)))))
1
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
(* -2 x)
-2
x
(/ (pow (+ 1 (exp (* -2 x))) -2) 1)
(pow (+ 1 (exp (* -2 x))) -2)
(neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
x
(- (/ 2 (- 2 (* x 2))) 1)
(/ 2 (- 2 (* x 2)))
2
(- 2 (* x 2))
(* x 2)
x
1
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
1
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
2/15
(- (exp (* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)) 1)
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
(log (/ (+ 1 (exp (* -2 x))) 2))
(/ (+ 1 (exp (* -2 x))) 2)
(+ 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
2
-1
Outputs
(+ (* (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ (pow (+ 1 (exp (* -2 x))) -2) 1)) (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
4
#s(literal 4 binary64)
(+ 1 (/ 2 (+ 1 (exp (* -2 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
1
#s(literal 1 binary64)
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2
#s(literal 2 binary64)
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
(/ (pow (+ 1 (exp (* -2 x))) -2) 1)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
(pow (+ 1 (exp (* -2 x))) -2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
(neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
x
(- (/ 2 (- 2 (* x 2))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/ 2 (- 2 (* x 2)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(- 2 (* x 2))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(* x 2)
(*.f64 #s(literal 2 binary64) x)
x
1
#s(literal 1 binary64)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) 2/15))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* (* x x) 2/15)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(- (exp (* (log (/ (+ 1 (exp (* -2 x))) 2)) -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))
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))))
(log (/ (+ 1 (exp (* -2 x))) 2))
(log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)))
(/ (+ 1 (exp (* -2 x))) 2)
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1
#s(literal 1 binary64)
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)

localize464.0ms (3%)

Memory
28.3MiB live, 702.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) x)
✓accuracy100.0%
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy54.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
✓accuracy55.7%
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
✓accuracy100.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64))
✓accuracy55.8%
(fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
Samples
212.0ms62×5exit
107.0ms55×2valid
53.0ms66×1valid
25.0ms73×0valid
Compiler

Compiled 273 to 37 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 343.0ms
ival-pow: 106.0ms (30.9% of total)
ival-exp: 62.0ms (18.1% of total)
ival-log: 45.0ms (13.1% of total)
ival-mult: 34.0ms (9.9% of total)
ival-div: 31.0ms (9% of total)
adjust: 17.0ms (5% of total)
ival-add: 14.0ms (4.1% of total)
ival-expm1: 12.0ms (3.5% of total)
...in/eval/compile.rkt:111:19: 9.0ms (2.6% of total)
ival-sub: 7.0ms (2% of total)
ival-neg: 3.0ms (0.9% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series102.0ms (0.7%)

Memory
2.2MiB live, 115.1MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt (+ (* (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ (pow (+ 1 (exp (* -2 x))) -2) 1)) (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))))>
#<alt (/ (pow (+ 1 (exp (* -2 x))) -2) 1)>
#<alt (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))>
#<alt (/ 2 (- 2 (* x 2)))>
#<alt (- (/ 2 (- 2 (* x 2))) 1)>
#<alt (- 2 (* x 2))>
#<alt (* x 2)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) 2/15)))>
#<alt (* x x)>
#<alt (- (exp (* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)) 1)>
#<alt (* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)>
#<alt (log (/ (+ 1 (exp (* -2 x))) 2))>
#<alt (/ (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) -2)>
#<alt (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))>
#<alt (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))>
#<alt (* (* x x) 2/15)>
#<alt (+ -1/3 (* (* x x) 2/15))>
#<alt (exp (* -2 x))>
#<alt (* -2 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/2 x))>
#<alt (+ 1/4 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt -1/2>
#<alt (- (* 1/4 x) 1/2)>
#<alt (- (* x (+ 1/4 (* -1/8 x))) 1/2)>
#<alt (- (* x (+ 1/4 (* x (- (* -1/48 x) 1/8)))) 1/2)>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* x (- (* 1/2 x) 1)))>
#<alt (+ 2 (* x (- (* x (+ 1/2 (* 1/12 x))) 1)))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))>
#<alt (* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/2 x))>
#<alt (+ 1/4 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 1 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/8 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/8 (* 1/48 x))) 1/4)))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
Calls

69 calls:

TimeVariablePointExpression
61.0ms
x
@inf
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
17.0ms
x
@-inf
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
6.0ms
x
@0
(+ (* (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ (pow (+ 1 (exp (* -2 x))) -2) 1)) (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))))
3.0ms
x
@0
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
3.0ms
x
@inf
(+ (* (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ (pow (+ 1 (exp (* -2 x))) -2) 1)) (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))))

rewrite560.0ms (3.6%)

Memory
-32.4MiB live, 1 014.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 418×accelerator-lowering-fma.f32
6 418×accelerator-lowering-fma.f64
3 824×/-lowering-/.f32
3 824×/-lowering-/.f64
3 600×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035243
1226194
22104191
08125178
Stop Event
1×iter limit
1×node limit
Counts
23 → 904
Calls
Call 1
Inputs
(+ (* (/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))) (/ (pow (+ 1 (exp (* -2 x))) -2) 1)) (neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))))
(/ (pow (+ 1 (exp (* -2 x))) -2) 1)
(neg (/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
(/ 2 (- 2 (* x 2)))
(- (/ 2 (- 2 (* x 2))) 1)
(- 2 (* x 2))
(* x 2)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(- (exp (* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)) 1)
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
(log (/ (+ 1 (exp (* -2 x))) 2))
(/ (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) -2)
(+ 1 (/ 2 (+ 1 (exp (* -2 x)))))
(/ 1 (+ 1 (/ 2 (+ 1 (exp (* -2 x))))))
(* (* x x) 2/15)
(+ -1/3 (* (* x x) 2/15))
(exp (* -2 x))
(* -2 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 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 4 binary64))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 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))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #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 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
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(*.f64 x (*.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 (*.f64 x #s(literal 2/15 binary64)) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -2/45 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -2/45 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/3375 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))

simplify420.0ms (2.7%)

Memory
32.8MiB live, 773.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 346×accelerator-lowering-fma.f32
10 346×accelerator-lowering-fma.f64
3 606×+-lowering-+.f64
3 606×+-lowering-+.f32
3 446×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02132405
15612383
212462357
334282291
463432291
080882161
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
1/4
(+ 1/4 (* 1/2 x))
(+ 1/4 (* x (+ 1/2 (* 1/4 x))))
(+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
-1/2
(- (* 1/4 x) 1/2)
(- (* x (+ 1/4 (* -1/8 x))) 1/2)
(- (* x (+ 1/4 (* x (- (* -1/48 x) 1/8)))) 1/2)
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
2
(+ 2 (* -1 x))
(+ 2 (* x (- (* 1/2 x) 1)))
(+ 2 (* x (- (* x (+ 1/2 (* 1/12 x))) 1)))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 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 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -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 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
1/4
(+ 1/4 (* 1/2 x))
(+ 1/4 (* x (+ 1/2 (* 1/4 x))))
(+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 1/8 (* 1/48 x))) 1/4)))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(- (* 4 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 2) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))) (/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/2 x))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1/4 (* x (+ 1/2 (* 1/4 x))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(+ 1/4 (* x (+ 1/2 (* x (+ 1/4 (* -1/6 x))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 1 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 x) 1/2)
(+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(- (* x (+ 1/4 (* -1/8 x))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(- (* x (+ 1/4 (* x (- (* -1/48 x) 1/8)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1/48 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ -1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 2 (* x (- (* x (+ 1/2 (* 1/12 x))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 4 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* x (+ 1 x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
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2
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(+ 1/2 (* x (- (* x (+ 1/8 (* 1/48 x))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/48 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 1 (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 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 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 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 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

eval556.0ms (3.6%)

Memory
-65.7MiB live, 518.5MiB allocated
Compiler

Compiled 51 645 to 3 435 computations (93.3% saved)

prune180.0ms (1.2%)

Memory
1.9MiB live, 365.9MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1 44461 450
Fresh448
Picked325
Done011
Total1 451131 464
Accuracy
100.0%
Counts
1 464 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.7%
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
30.3%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
55.7%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
✓55.7%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.7%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.6%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
▶49.7%
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
49.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓50.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶48.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
▶55.7%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓50.8%
x
▶27.7%
#s(literal -1 binary64)
Compiler

Compiled 452 to 253 computations (44% saved)

simplify472.0ms (3.1%)

Memory
-20.9MiB live, 837.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓cost-diff12800
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
✓cost-diff256
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓cost-diff64
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))))
✓cost-diff6272
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
✓cost-diff6464
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))
✓cost-diff7040
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))
Rules
16 980×accelerator-lowering-fma.f32
16 980×accelerator-lowering-fma.f64
3 292×*-lowering-*.f32
3 292×*-lowering-*.f64
2 492×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034377
191359
2204351
3550345
41144331
53263318
66283318
08122310
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))
(pow (/ 2 (+ 1 (exp (* -2 x)))) 2)
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
(/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
(+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)))
(+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))
(neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)))))
(/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
-1
(* x (+ 1 (* (* x x) -1/3)))
x
(+ 1 (* (* x x) -1/3))
1
(* (* x x) -1/3)
(* x x)
-1/3
(* x (+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1)))
x
(+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1))
(* (* x x) -1/3)
(* x x)
-1/3
(+ (* (* x x) (* x (* x 2/15))) 1)
(* (* x x) (* x (* x 2/15)))
(* x (* x 2/15))
(* x 2/15)
2/15
1
(- (exp (neg (log (/ (+ 1 (exp (* -2 x))) 2)))) 1)
(neg (log (/ (+ 1 (exp (* -2 x))) 2)))
(log (/ (+ 1 (exp (* -2 x))) 2))
(/ (+ 1 (exp (* -2 x))) 2)
(+ 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
2
Outputs
(+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 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)))))))
(pow (/ 2 (+ 1 (exp (* -2 x)))) 2)
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2
#s(literal 2 binary64)
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1
#s(literal 1 binary64)
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
(/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))
(+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 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)))))
(+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 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))))
(neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 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))))))
(/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 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))))))
-1
#s(literal -1 binary64)
(* x (+ 1 (* (* x x) -1/3)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
x
(+ 1 (* (* x x) -1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(* (* x x) -1/3)
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* x x)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(* x (+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
x
(+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(* (* x x) -1/3)
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* x x)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(+ (* (* x x) (* x (* x 2/15))) 1)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (* x x) (* x (* x 2/15)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* x (* x 2/15))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
1
#s(literal 1 binary64)
(- (exp (neg (log (/ (+ 1 (exp (* -2 x))) 2)))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(neg (log (/ (+ 1 (exp (* -2 x))) 2)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
(log (/ (+ 1 (exp (* -2 x))) 2))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(/ (+ 1 (exp (* -2 x))) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1
#s(literal 1 binary64)
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
2
#s(literal 2 binary64)

localize318.0ms (2.1%)

Memory
1.1MiB live, 467.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
✓accuracy100.0%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy54.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 x #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
✓accuracy89.7%
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))
✓accuracy100.0%
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))
✓accuracy55.8%
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
Samples
100.0ms62×5exit
77.0ms55×2valid
47.0ms66×1valid
21.0ms73×0valid
Compiler

Compiled 378 to 36 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-log: 44.0ms (22.6% of total)
ival-mult: 38.0ms (19.5% of total)
ival-div: 30.0ms (15.4% of total)
adjust: 18.0ms (9.3% of total)
ival-add: 18.0ms (9.3% of total)
ival-exp: 16.0ms (8.2% of total)
ival-expm1: 11.0ms (5.7% of total)
...in/eval/compile.rkt:111:19: 8.0ms (4.1% of total)
ival-pow2: 6.0ms (3.1% of total)
ival-neg: 5.0ms (2.6% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
28.8MiB live, 28.8MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))>
#<alt (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))>
#<alt (+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))>
#<alt (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)))))>
#<alt (* x (+ 1 (* (* x x) -1/3)))>
#<alt (+ 1 (* (* x x) -1/3))>
#<alt (* (* x x) -1/3)>
#<alt (* x x)>
#<alt (+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1))>
#<alt (* x (+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1)))>
#<alt (- (exp (neg (log (/ (+ 1 (exp (* -2 x))) 2)))) 1)>
#<alt (log (/ (+ 1 (exp (* -2 x))) 2))>
#<alt (/ (+ 1 (exp (* -2 x))) 2)>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)>
#<alt (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))>
#<alt (* x (* x 2/15))>
#<alt (* x 2/15)>
#<alt (exp (* -2 x))>
#<alt (neg (log (/ (+ 1 (exp (* -2 x))) 2)))>
Outputs
#<alt 1/3>
#<alt (+ 1/3 (* -1/9 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (- (* 1/9 x) 1/9)))>
#<alt (+ 1/3 (* (pow x 2) (- (* x (+ 1/9 (* -2/27 (pow x 2)))) 1/9)))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt 2>
#<alt (+ 2 (* 3 x))>
#<alt (+ 2 (* x (+ 3 x)))>
#<alt (+ 2 (* x (+ 3 (* x (+ 1 (* -1 x))))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt (- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))>
#<alt -1/3>
#<alt (- (* 1/3 x) 1/3)>
#<alt (- (* x (+ 1/3 (* -2/9 x))) 1/3)>
#<alt (- (* x (+ 1/3 (* x (- (* 1/9 (pow x 2)) 2/9)))) 1/3)>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))>
#<alt (* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt (log (* 1/2 (+ 1 (exp (* -2 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt (* 1/2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/3 x))>
#<alt (+ 1/3 (* x (- (* 2/9 x) 1/3)))>
#<alt (+ 1/3 (* x (- (* x (+ 2/9 (* -1/9 (pow x 2)))) 1/3)))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
#<alt (* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))
3.0ms
x
@inf
(+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))
1.0ms
x
@inf
(/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
1.0ms
x
@-inf
(/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
1.0ms
x
@0
(+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))

rewrite619.0ms (4%)

Memory
12.9MiB live, 1 036.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 154×*-lowering-*.f32
5 154×*-lowering-*.f64
4 372×accelerator-lowering-fma.f32
4 372×accelerator-lowering-fma.f64
4 312×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033339
1210219
21925219
08897205
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 017
Calls
Call 1
Inputs
(/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
(+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))
(+ (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 2) (/ (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))) (neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))))
(neg (/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2)))))
(* x (+ 1 (* (* x x) -1/3)))
(+ 1 (* (* x x) -1/3))
(* (* x x) -1/3)
(* x x)
(+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1))
(* x (+ (* (* x x) -1/3) (+ (* (* x x) (* x (* x 2/15))) 1)))
(- (exp (neg (log (/ (+ 1 (exp (* -2 x))) 2)))) 1)
(log (/ (+ 1 (exp (* -2 x))) 2))
(/ (+ 1 (exp (* -2 x))) 2)
(+ 1 (exp (* -2 x)))
(pow (/ 2 (+ 1 (exp (* -2 x)))) 2)
(/ 1 (+ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) (pow (/ 2 (+ 1 (exp (* -2 x)))) 2))))
(* x (* x 2/15))
(* x 2/15)
(exp (* -2 x))
(neg (log (/ (+ 1 (exp (* -2 x))) 2)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (*.f64 (log1p.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.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 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (*.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 -1 binary64) (neg.f64 (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #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))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #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))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
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(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))))))) (log1p.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.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 0 binary64))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))

simplify830.0ms (5.4%)

Memory
-37.6MiB live, 1 049.9MiB allocated
Algorithm
1×egg-herbie
Rules
19 300×accelerator-lowering-fma.f32
19 300×accelerator-lowering-fma.f64
5 716×+-lowering-+.f64
5 716×+-lowering-+.f32
4 224×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02032705
15252659
212042643
336242491
081242362
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
1/3
(+ 1/3 (* -1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (- (* 1/9 x) 1/9)))
(+ 1/3 (* (pow x 2) (- (* x (+ 1/9 (* -2/27 (pow x 2)))) 1/9)))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
2
(+ 2 (* 3 x))
(+ 2 (* x (+ 3 x)))
(+ 2 (* x (+ 3 (* x (+ 1 (* -1 x))))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
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))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
-1/3
(- (* 1/3 x) 1/3)
(- (* x (+ 1/3 (* -2/9 x))) 1/3)
(- (* x (+ 1/3 (* x (- (* 1/9 (pow x 2)) 2/9)))) 1/3)
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
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) (- (* 2/15 (pow x 2)) 1/3))))
(* 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 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -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 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
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))))
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
(log (* 1/2 (+ 1 (exp (* -2 x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -2/3 x))) 1)))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
(* 1/2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
1/3
(+ 1/3 (* -1/3 x))
(+ 1/3 (* x (- (* 2/9 x) 1/3)))
(+ 1/3 (* x (- (* x (+ 2/9 (* -1/9 (pow x 2)))) 1/3)))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/9 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(+ 1/3 (* (pow x 2) (- (* 1/9 x) 1/9)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/9 binary64)))))
(+ 1/3 (* (pow x 2) (- (* x (+ 1/9 (* -2/27 (pow x 2)))) 1/9)))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -2/27 binary64))))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ 2 (* (+ 1 (exp (* -2 x))) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* 3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* x (+ 3 x)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))
(+ 2 (* x (+ 3 (* x (+ 1 (* -1 x))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(- (* 8 (/ 1 (* (pow (+ 1 (exp (* -2 x))) 3) (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))) (/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
-1/3
#s(literal -1/3 binary64)
(- (* 1/3 x) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) x))
(- (* x (+ 1/3 (* -2/9 x))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -2/9 binary64)))))
(- (* x (+ 1/3 (* x (- (* 1/9 (pow x 2)) 2/9)))) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ -1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
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(* -1/3 (pow x 2))
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1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
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(* 2/15 (pow x 4))
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(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
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(* 2/15 (pow x 4))
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(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
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x
(* x (+ 1 (* -1/3 (pow x 2))))
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(* 2/15 (pow x 5))
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x
(* x (+ 1 (* -1/3 (pow x 2))))
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(- (exp (neg (log (* 1/2 (+ 1 (exp (* -2 x))))))) 1)
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(* -1 x)
(-.f64 #s(literal 0 binary64) x)
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(log (* 1/2 (+ 1 (exp (* -2 x)))))
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(log (* 1/2 (+ 1 (exp (* -2 x)))))
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(log (* 1/2 (+ 1 (exp (* -2 x)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
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2
#s(literal 2 binary64)
(+ 2 (* -2 x))
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(+ 2 (* x (- (* 2 x) 2)))
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(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
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1
#s(literal 1 binary64)
(+ 1 (* 2 x))
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(+ 1 (* x (+ 2 x)))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/3 x))
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(+ 1/3 (* x (- (* 2/9 x) 1/3)))
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(+ 1/3 (* x (- (* x (+ 2/9 (* -1/9 (pow x 2)))) 1/3)))
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(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
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(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
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(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
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(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/ 1 (+ 1 (+ (* 2 (/ 1 (+ 1 (exp (* -2 x))))) (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* -1 (log (* 1/2 (+ 1 (exp (* -2 x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

eval978.0ms (6.4%)

Memory
68.5MiB live, 792.4MiB allocated
Compiler

Compiled 136 517 to 5 517 computations (96% saved)

prune386.0ms (2.5%)

Memory
-8.6MiB live, 565.8MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New2 01112 012
Fresh055
Picked145
Done033
Total2 012132 025
Accuracy
100.0%
Counts
2 025 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.3%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
▶55.7%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
✓55.7%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶6.7%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶4.6%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
55.7%
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
✓49.7%
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
▶49.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓50.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓48.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓55.7%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓50.8%
x
✓27.7%
#s(literal -1 binary64)
Compiler

Compiled 420 to 237 computations (43.6% saved)

simplify505.0ms (3.3%)

Memory
-18.7MiB live, 693.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
✓cost-diff128
(*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
✓cost-diff6272
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff256
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
Rules
11 714×accelerator-lowering-fma.f32
11 714×accelerator-lowering-fma.f64
3 712×*-lowering-*.f32
3 712×*-lowering-*.f64
3 642×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044353
1120339
2315324
31366321
42147321
54695321
67489321
08055298
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) -1))
(+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
4
(pow (+ 1 (exp (* -2 x))) 2)
(+ 1 (exp (* -2 x)))
1
(exp (* -2 x))
(* -2 x)
-2
x
2
-1
(- (/ 2 (+ 1 (exp (* -2 x)))) -1)
(/ 2 (+ 1 (exp (* -2 x))))
(- (+ x 1) 1)
(+ x 1)
x
1
(- (+ 1 (* x (+ 1 (* -1/3 (* x x))))) 1)
(+ 1 (* x (+ 1 (* -1/3 (* x x)))))
1
(* x (+ 1 (* -1/3 (* x x))))
x
(+ 1 (* -1/3 (* x x)))
(* -1/3 (* x x))
-1/3
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
1
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)
(/ 2 (+ 1 (exp (* -2 (* x 3)))))
2
(+ 1 (exp (* -2 (* x 3))))
1
(exp (* -2 (* x 3)))
(* -2 (* x 3))
-2
(* x 3)
x
3
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(exp (* -2 x))
(* -2 x)
(- (exp (* -2 x)) 1)
-1
Outputs
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) -1))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
1
#s(literal 1 binary64)
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(- (/ 2 (+ 1 (exp (* -2 x)))) -1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(- (+ x 1) 1)
x
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(- (+ 1 (* x (+ 1 (* -1/3 (* x x))))) 1)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+ 1 (* x (+ 1 (* -1/3 (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(* x (+ 1 (* -1/3 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (* x x))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+ 2/15 (* (* x x) -17/315))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))))
(/ 2 (+ 1 (exp (* -2 (* x 3)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))
2
#s(literal 2 binary64)
(+ 1 (exp (* -2 (* x 3))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))
1
#s(literal 1 binary64)
(exp (* -2 (* x 3)))
(exp.f64 (*.f64 x #s(literal -6 binary64)))
(* -2 (* x 3))
(*.f64 x #s(literal -6 binary64))
-2
#s(literal -2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp (* -2 x))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)

localize327.0ms (2.1%)

Memory
-27.6MiB live, 559.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(expm1.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))))))
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
✓accuracy54.5%
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓accuracy99.8%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy55.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy55.7%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
✓accuracy55.8%
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))
Samples
97.0ms55×2valid
52.0ms66×1valid
28.0ms62×0exit
26.0ms73×0valid
Compiler

Compiled 346 to 47 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 38.0ms (26.3% of total)
ival-exp: 26.0ms (18% of total)
ival-add: 20.0ms (13.9% of total)
ival-div: 14.0ms (9.7% of total)
...in/eval/compile.rkt:111:19: 14.0ms (9.7% of total)
ival-expm1: 13.0ms (9% of total)
adjust: 8.0ms (5.5% of total)
ival-sub: 6.0ms (4.2% of total)
ival-pow2: 4.0ms (2.8% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
26.0MiB live, 26.1MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#<alt (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) -1))>
#<alt (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (- (+ x 1) 1)>
#<alt (+ x 1)>
#<alt (- (+ 1 (* x (+ 1 (* -1/3 (* x x))))) 1)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (* x x)))))>
#<alt (* x (+ 1 (* -1/3 (* x x))))>
#<alt (+ 1 (* -1/3 (* x x)))>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* x x)>
#<alt (+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)>
#<alt (* -2 (* x 3))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (/ 2 (+ 1 (exp (* -2 (* x 3)))))>
#<alt (- (/ 2 (+ 1 (exp (* -2 x)))) -1)>
#<alt (* -1/3 (* x x))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (- (exp (* -2 x)) 1)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 (* x (+ 1 (* -2/3 x)))))>
#<alt (* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt 4>
#<alt (+ 4 (* -8 x))>
#<alt (+ 4 (* x (- (* 12 x) 8)))>
#<alt (+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt (pow (+ 1 (exp (* -2 x))) 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 6 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 6 (* -28/3 x))) 2)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* -9 (pow x 2)))))>
#<alt (+ 1 (* x (+ 3 (* (pow x 2) (- (* 162/5 (pow x 2)) 9)))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt (/ 2 (+ 1 (exp (* -6 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -2 x)>
#<alt (* x (- (* 6 x) 2))>
#<alt (* x (- (* x (+ 6 (* -28/3 x))) 2))>
#<alt (* x (- (* x (+ 6 (* x (- (* 10 x) 28/3)))) 2))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* (exp (* -2 x)) (- (exp (* -2 x)) 1))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
Calls

72 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)
1.0ms
x
@-inf
(+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)
1.0ms
x
@-inf
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) -1))
1.0ms
x
@inf
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) -1))
1.0ms
x
@0
(+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)

rewrite479.0ms (3.1%)

Memory
-7.9MiB live, 828.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 618×*-lowering-*.f32
6 618×*-lowering-*.f64
5 030×accelerator-lowering-fma.f32
5 030×accelerator-lowering-fma.f64
3 590×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044258
1313216
23057212
09841195
Stop Event
1×iter limit
1×node limit
Counts
24 → 751
Calls
Call 1
Inputs
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (- (/ 2 (+ 1 (exp (* -2 x)))) -1))
(+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(pow (+ 1 (exp (* -2 x))) 2)
(- (+ x 1) 1)
(+ x 1)
(- (+ 1 (* x (+ 1 (* -1/3 (* x x))))) 1)
(+ 1 (* x (+ 1 (* -1/3 (* x x)))))
(* x (+ 1 (* -1/3 (* x x))))
(+ 1 (* -1/3 (* x x)))
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ (* (/ 2 (+ 1 (exp (* -2 (* x 3))))) (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))) -1)
(* -2 (* x 3))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(/ 2 (+ 1 (exp (* -2 (* x 3)))))
(- (/ 2 (+ 1 (exp (* -2 x)))) -1)
(* -1/3 (* x x))
(* (* x x) -17/315)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(- (exp (* -2 x)) 1)
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(+.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 -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))) (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #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) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.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))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 #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) (/.f64 #s(literal 1 binary64) (+.f64 #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) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.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 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #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) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (neg.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 -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 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))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
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(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
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(fma.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -4 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -4 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -4 binary64)) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -4 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal -6 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
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(expm1.f64 (*.f64 #s(literal -2 binary64) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal -6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

simplify507.0ms (3.3%)

Memory
11.2MiB live, 970.2MiB allocated
Algorithm
1×egg-herbie
Rules
16 774×accelerator-lowering-fma.f32
16 774×accelerator-lowering-fma.f64
4 092×*-lowering-*.f32
4 092×*-lowering-*.f64
3 326×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01952510
14902436
212052412
334922380
475592380
084442222
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* -2/3 x)))))
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
4
(+ 4 (* -8 x))
(+ 4 (* x (- (* 12 x) 8)))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
(pow (+ 1 (exp (* -2 x))) 2)
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
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))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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))))
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(- (* 2 (/ (+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1))) (+ 1 (exp (* -6 x))))) 1)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 6 x) 2)))
(+ 1 (* x (- (* x (+ 6 (* -28/3 x))) 2)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
(+ 1 (* (exp (* -2 x)) (- (exp (* -2 x)) 1)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* -9 (pow x 2)))))
(+ 1 (* x (+ 3 (* (pow x 2) (- (* 162/5 (pow x 2)) 9)))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
(/ 2 (+ 1 (exp (* -6 x))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 2 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -2 x)
(* x (- (* 6 x) 2))
(* x (- (* x (+ 6 (* -28/3 x))) 2))
(* x (- (* x (+ 6 (* x (- (* 10 x) 28/3)))) 2))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 1 (* -2/3 x)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(* x (+ 2 (* x (+ 1 (* x (- (* -2/3 x) 2/3))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2/3 binary64) (*.f64 x #s(literal -2/3 binary64))))))))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1)
(+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64)))))))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* -8 x))
(+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64)))
(+ 4 (* x (- (* 12 x) 8)))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 x #s(literal 12 binary64)))))
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -40/3 binary64)))))))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow (+ 1 (exp (* -2 x))) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -17/315 (pow x 4))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 6 x) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 6 binary64))))
(* x (- (* x (+ 6 (* -28/3 x))) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -28/3 binary64))))))
(* x (- (* x (+ 6 (* x (- (* 10 x) 28/3)))) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 #s(literal -28/3 binary64) (*.f64 x #s(literal 10 binary64))))))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* (exp (* -2 x)) (- (exp (* -2 x)) 1))
(-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 x) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 2/3 binary64))))))))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))

eval200.0ms (1.3%)

Memory
-1.7MiB live, 443.7MiB allocated
Compiler

Compiled 29 092 to 2 673 computations (90.8% saved)

prune168.0ms (1.1%)

Memory
0.9MiB live, 318.4MiB allocated
Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New1 09691 105
Fresh101
Picked235
Done077
Total1 099191 118
Accuracy
100.0%
Counts
1 118 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.4%
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
✓55.7%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
19.3%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
✓55.7%
(-.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%
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓6.7%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
5.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
4.7%
(-.f64 x #s(literal 1 binary64))
6.7%
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
50.6%
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
48.8%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))))
✓49.7%
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
49.1%
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
✓49.1%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓50.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓48.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
✓55.7%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓50.8%
x
✓27.7%
#s(literal -1 binary64)
Compiler

Compiled 1 017 to 355 computations (65.1% saved)

regimes63.0ms (0.4%)

Memory
-2.3MiB live, 155.6MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))))
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64)))))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
Calls

7 calls:

10.0ms
(*.f64 #s(literal -2 binary64) x)
9.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
9.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
100.0%3x
66.3%3y
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%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (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(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 47 to 39 computations (17% saved)

regimes49.0ms (0.3%)

Memory
-34.6MiB live, 133.1MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))))
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))))))
Outputs
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.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:

9.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
9.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
AccuracySegmentsBranch
100.0%3x
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%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (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(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes42.0ms (0.3%)

Memory
33.7MiB live, 112.2MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))))
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.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 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.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:

7.0ms
(*.f64 #s(literal -2 binary64) x)
7.0ms
x
7.0ms
(-.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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3x
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%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (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(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes42.0ms (0.3%)

Memory
-12.1MiB live, 106.9MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))))
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #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 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
Calls

6 calls:

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

Compiled 44 to 37 computations (15.9% saved)

regimes38.0ms (0.2%)

Memory
-14.0MiB live, 106.6MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 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 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(-.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:

7.0ms
(*.f64 #s(literal -2 binary64) x)
7.0ms
x
6.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
5.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
Results
AccuracySegmentsBranch
100.0%3x
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%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (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(exp.f64 (*.f64 #s(literal -2 binary64) x))
100.0%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes7.0ms (0%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) #s(literal 1 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
Outputs
#s(literal -1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
74.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
-21.9MiB live, 17.1MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 (+.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
Outputs
#s(literal -1 binary64)
x
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
74.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
27.7%1y
27.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007667604430497225
0.09217068817734249
0.0ms
-0.037857786062650944
-7.929681711179941e-14
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007667604430497225
0.09217068817734249
0.0ms
-0.037857786062650944
-7.929681711179941e-14
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007667604430497225
0.09217068817734249
0.0ms
-8396614379.54888
-0.037857786062650944
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007667604430497225
0.09217068817734249
0.0ms
-8396614379.54888
-0.037857786062650944
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0007667604430497225
0.09217068817734249
0.0ms
-8396614379.54888
-0.037857786062650944
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch15.0ms (0.1%)

Memory
-2.8MiB live, 36.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-12844.143380864469
-0.046085344088671244
Samples
9.0ms144×0valid
Compiler

Compiled 213 to 159 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 2.0ms (35.1% of total)
ival-div: 1.0ms (17.5% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-mult: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
-12.6MiB live, 29.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-12844.143380864469
-0.046085344088671244
Samples
8.0ms144×0valid
Compiler

Compiled 87 to 78 computations (10.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (40.4% of total)
ival-div: 1.0ms (20.2% of total)
ival-sub: 1.0ms (20.2% of total)
ival-add: 1.0ms (20.2% of total)
ival-mult: 1.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
-5.9MiB live, 32.3MiB allocated
Algorithm
1×egg-herbie
Rules
38×+-commutative_binary64
32×*-commutative_binary64
14×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083399
1122399
2132399
3141399
4142399
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))) (expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 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 -5494391545392005/4503599627370496 binary64)) #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #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 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #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) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))) (expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 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 (*.f64 #s(literal -2 binary64) x) #s(literal -5000000000 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 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x x) (*.f64 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 -5494391545392005/4503599627370496 binary64)) #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness3.9s (25.3%)

Memory
40.9MiB live, 4 389.6MiB allocated
Rules
15 342×accelerator-lowering-fma.f32
15 342×accelerator-lowering-fma.f64
10 346×accelerator-lowering-fma.f32
10 346×accelerator-lowering-fma.f64
6 618×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049394
1119394
2234384
3604384
41194384
51764384
62024384
72599384
83669384
95745384
106685384
117091384
127233384
137295384
147337384
08101363
02132405
15612383
212462357
334282291
463432291
080882161
044258
1313216
23057212
09841195
033339
1210219
21925219
08897205
035243
1226194
22104191
08125178
0931
14831
236631
3597131
0813731
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 619 to 236 computations (61.9% saved)

preprocess80.0ms (0.5%)

Memory
7.8MiB live, 126.2MiB allocated
Remove

(abs y)

Compiler

Compiled 1 096 to 282 computations (74.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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